{"id":4949,"date":"2016-05-19T09:49:00","date_gmt":"2016-05-19T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/"},"modified":"2023-03-22T15:17:58","modified_gmt":"2023-03-22T09:47:58","slug":"ncert-solutions-class-10-maths-exercise-4-3","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Exercise 4.3"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#NCERT_Solutions_for_Class_10_Maths_Quadratic_Equations\" >NCERT Solutions for Class 10 Maths\u00a0Quadratic Equations<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#1_Find_the_roots_of_the_following_quadratic_equations_if_they_exist_by_the_method_of_completing_square\" >1. Find the roots of the following quadratic equations if they exist by the method of completing square.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#Following_procedure_of_completing_square\" >Following procedure of completing square,<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#2_Find_the_roots_of_the_following_Quadratic_Equations_by_applying_quadratic_formula\" >2. Find the roots of the following Quadratic Equations by applying quadratic formula.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#Comparing_quadratic_equation_with_general_form_we_get_a_2_b_-7_and_c_3\" >Comparing quadratic equation with general form , we get a = 2, b = -7 and c = 3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#Comparing_quadratic_equation_with_the_general_form_we_get_a_4_b_and_c_3\" >Comparing quadratic equation  with the general form , we get a = 4, b = and c = 3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#3_Find_the_roots_of_the_following_equations\" >3. Find the roots of the following equations:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#4_The_sum_of_reciprocals_of_Rehmans_ages_in_years_3_years_ago_and_5_years_from_now_is_13_Find_his_present_age\" >4. The sum of reciprocals of Rehman&#8217;s ages (in years) 3 years ago and 5 years from now is 13. Find his present age.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#5_In_a_class_test_the_sum_of_Shefalis_marks_in_Mathematics_and_English_is_30_Had_she_got_2_marks_more_in_Mathematics_and_3_marks_less_in_English_the_product_of_their_marks_would_have_been_210_Find_her_marks_in_the_two_subjects\" >5. In a class test, the sum of Shefali&#8217;s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#6_The_diagonal_of_a_rectangular_field_is_60_metres_more_than_the_shorter_side_If_the_longer_side_is_30_metres_more_than_the_shorter_side_find_the_sides_of_the_field\" >6. The diagonal of a rectangular field is 60 metres more than the shorter side. If, the longer side is 30 metres more than the shorter side, find the sides of the field.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#7_The_difference_of_squares_of_two_numbers_is_180_The_square_of_the_smaller_number_is_8_times_the_larger_number_Find_the_two_numbers\" >7. The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#8_A_train_travels_360_km_at_a_uniform_speed_If_the_speed_had_been_5_kmhr_more_it_would_have_taken_1_hour_less_for_the_same_journey_Find_the_speed_of_the_train\" >8. A train travels 360 km at a uniform speed. If, the speed had been 5 km\/hr more, it would have taken 1 hour less for the same journey. Find the speed of the train.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#9_Two_water_taps_together_can_fill_a_tank_in_hours_The_tap_of_larger_diameter_takes_10_hours_less_than_the_smaller_one_to_fill_the_tank_separately_Find_the_time_in_which_each_tap_can_separately_fill_the_tank\" >9. Two water taps together can fill a tank in hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#10_An_express_train_takes_1_hour_less_than_a_passenger_train_to_travel_132_km_between_Mysore_and_Bangalore_without_taking_into_consideration_the_time_they_stop_at_intermediate_stations_If_the_average_speed_of_the_express_train_is_11_kmh_more_than_that_of_the_passenger_train_find_the_average_speed_of_two_trains\" >10. An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If, the average speed of the express train is 11 km\/h more than that of the passenger train, find the average speed of two trains.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#Comparing_equation_with_general_quadratic_equation_we_get_a_1_b_11_and_c_%E2%88%921452\" >Comparing equation  with general quadratic equation , we get a = 1, b = 11 and c = \u22121452<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#11_Sum_of_areas_of_two_squares_is_468_m2_If_the_difference_of_their_perimeters_is_24_metres_find_the_sides_of_the_two_squares\" >11. Sum of areas of two squares is 468 m2. If, the difference of their perimeters is 24 metres, find the sides of the two squares.<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#NCERT_Solutions_for_Class_10_Maths_Exercise_43\" >NCERT Solutions for Class 10 Maths Exercise 4.3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/#CBSE_app_for_Class_10\" >CBSE app for Class 10<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 10 Maths Exercise 4.3 Class 10 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 10 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Maths\u00a0<\/strong><strong>Quadratic Equations\u00a0<\/strong><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-10-mathematics-quadratic-equations\/1206\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10%20Maths%20Book.jpg\" alt=\"NCERT Solutions for Class 10 Maths Exercise 4.3\" width=\"168\" height=\"207\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_10_Maths_Quadratic_Equations\"><\/span>NCERT Solutions for Class 10 Maths\u00a0Quadratic Equations<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"1_Find_the_roots_of_the_following_quadratic_equations_if_they_exist_by_the_method_of_completing_square\"><\/span><strong>1. Find the roots of the following quadratic equations if they exist by the method of completing square.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i) <img decoding=\"async\" style=\"height: 22px; width: 130px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image001.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) <img decoding=\"async\" style=\"height: 22px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image002.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii) <img decoding=\"async\" style=\"height: 24px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image003.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iv) <img decoding=\"async\" style=\"height: 22px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image004.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> <img decoding=\"async\" style=\"height: 22px; width: 125px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image005.png\" \/><\/p>\n<p style=\"text-align: justify;\">First we divide equation by 2 to make coefficient of <em>x<\/em><sup>2<\/sup> equal to 1,<\/p>\n<p style=\"text-align: justify;\"><em><img decoding=\"async\" style=\"height: 42px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image006.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">We divide middle term of the equation by 2<em>x<\/em>, we get <img decoding=\"async\" style=\"height: 42px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image007.png\" \/><\/p>\n<p style=\"text-align: justify;\">We add and subtract square of <img decoding=\"async\" style=\"height: 42px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image008.png\" \/> from the equation <em><img decoding=\"async\" style=\"height: 42px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image006.png\" \/><\/em>,<\/p>\n<p style=\"text-align: justify;\"><em><img decoding=\"async\" style=\"height: 49px; width: 205px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image009.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 49px; width: 208px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image010.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 34px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image011.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 49px; width: 152px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image012.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 49px; width: 125px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image013.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">Taking Square root on both sides,<\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 42px; width: 78px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image014.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 42px; width: 276px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image015.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">Therefore, <img decoding=\"async\" style=\"height: 42px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image016.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) <\/strong><img decoding=\"async\" style=\"height: 22px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image017.png\" \/><\/p>\n<p style=\"text-align: justify;\">Dividing equation by 2,<\/p>\n<p style=\"text-align: justify;\"><em><img decoding=\"async\" style=\"height: 42px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image018.png\" \/><\/em><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Following_procedure_of_completing_square\"><\/span>Following procedure of completing square,<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><em><img decoding=\"async\" style=\"height: 49px; width: 192px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image019.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 49px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image020.png\" \/> <\/em><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 34px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image021.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 49px; width: 116px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image022.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 49px; width: 96px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image023.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">Taking square root on both sides,<\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 45px; width: 94px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image024.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 45px; width: 344px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image025.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">Therefore, <em><img decoding=\"async\" style=\"height: 45px; width: 145px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image026.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\"><strong>(iii) <\/strong><img decoding=\"async\" style=\"height: 24px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image003.png\" \/><\/p>\n<p style=\"text-align: justify;\">Dividing equation by 4,<\/p>\n<p style=\"text-align: justify;\"><em><img decoding=\"async\" style=\"height: 42px; width: 109px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image027.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">Following the procedure of completing square,<\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 56px; width: 227px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image028.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 56px; width: 200px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image029.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 34px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image021.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 56px; width: 96px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image030.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image031.png\" \/><img decoding=\"async\" style=\"height: 53px; width: 151px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image032.png\" \/><\/p>\n<p style=\"text-align: justify;\">Taking square root on both sides,<\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 45px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image033.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 45px; width: 102px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image034.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\"><strong>(iv)<\/strong> <img decoding=\"async\" style=\"height: 22px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image035.png\" \/><\/p>\n<p style=\"text-align: justify;\">Dividing equation by 2,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 42px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image036.png\" \/><\/p>\n<p style=\"text-align: justify;\">Following the procedure of completing square,<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 49px; width: 187px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image037.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 49px; width: 187px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image038.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 34px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image021.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 49px; width: 143px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image039.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 49px; width: 169px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image040.png\" \/><\/p>\n<p style=\"text-align: justify;\">Taking square root on both sides<\/p>\n<p style=\"text-align: justify;\">Right hand side does not exist because square root of negative number does not exist.<\/p>\n<p style=\"text-align: justify;\">Therefore, there is no solution for quadratic equation <img decoding=\"async\" style=\"height: 22px; width: 97px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image041.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2_Find_the_roots_of_the_following_Quadratic_Equations_by_applying_quadratic_formula\"><\/span><strong>2. Find the roots of the following Quadratic Equations by applying quadratic formula. <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i) <img decoding=\"async\" style=\"height: 22px; width: 130px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image001.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) <img decoding=\"async\" style=\"height: 22px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image002.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii) <img decoding=\"async\" style=\"height: 24px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image003.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iv) <img decoding=\"async\" style=\"height: 22px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image004.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> <img decoding=\"async\" style=\"height: 22px; width: 125px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image005.png\" \/><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Comparing_quadratic_equation_with_general_form_we_get_a_2_b_-7_and_c_3\"><\/span>Comparing quadratic equation <img decoding=\"async\" style=\"height: 22px; width: 125px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image005.png\" \/>with general form <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/>, we get a = 2, b = -7 and c = 3<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\">Putting these values in quadratic formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 164px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image044.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image045.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 42px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image046.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 42px; width: 100px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image047.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x <\/em>= 3, \u00bd<\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> <img decoding=\"async\" style=\"height: 22px; width: 115px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image048.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing quadratic equation <img decoding=\"async\" style=\"height: 22px; width: 115px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image048.png\" \/> with the general form <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/>, we get <em>a <\/em>= 2, <em>b <\/em>= 1 and <em>c <\/em>= \u22124<\/p>\n<p style=\"text-align: justify;\">Putting these values in quadratic formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 167px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image049.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image050.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 163px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image051.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(iii) <\/strong><img decoding=\"async\" style=\"height: 24px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image003.png\" \/><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Comparing_quadratic_equation_with_the_general_form_we_get_a_4_b_and_c_3\"><\/span>Comparing quadratic equation <img decoding=\"async\" style=\"height: 24px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image003.png\" \/> with the general form <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/>, we get <em>a <\/em>= 4, <em>b <\/em>= <img decoding=\"async\" style=\"height: 24px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image052.png\" \/>and <em>c <\/em>= 3<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\">Putting these values in quadratic formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 49px; width: 203px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image053.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image054.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image055.png\" \/><\/p>\n<p style=\"text-align: justify;\">A quadratic equation has two roots. Here, both the roots are equal.<\/p>\n<p style=\"text-align: justify;\">Therefore, <img decoding=\"async\" style=\"height: 45px; width: 103px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image056.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(iv)<\/strong> <img decoding=\"async\" style=\"height: 22px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image035.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing quadratic equation <img decoding=\"async\" style=\"height: 22px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image035.png\" \/> with the general form <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/>, we get <em>a <\/em>= 2, <em>b <\/em>= 1 and <em>c <\/em>= 4<\/p>\n<p style=\"text-align: justify;\">Putting these values in quadratic formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 159px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image057.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 100px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image058.png\" \/><\/p>\n<p style=\"text-align: justify;\">But, square root of negative number is not defined.<\/p>\n<p style=\"text-align: justify;\">Therefore, Quadratic Equation <img decoding=\"async\" style=\"height: 22px; width: 115px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image059.png\" \/>has no solution.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"3_Find_the_roots_of_the_following_equations\"><\/span><strong>3. Find the roots of the following equations: <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i) <img decoding=\"async\" style=\"height: 42px; width: 94px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image060.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) <img decoding=\"async\" style=\"height: 42px; width: 179px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image061.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> <img decoding=\"async\" style=\"height: 42px; width: 139px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image062.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 44px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image063.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 87px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image064.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 113px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image065.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing equation <img decoding=\"async\" style=\"height: 22px; width: 113px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image065.png\" \/> with general form <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/>,<\/p>\n<p style=\"text-align: justify;\">We get <em>a <\/em>= 1, <em>b <\/em>= \u22123 and <em>c <\/em>= \u22121<\/p>\n<p style=\"text-align: justify;\">Using quadratic formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/>to solve equation,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 159px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image066.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image067.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 134px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image068.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> <img decoding=\"async\" style=\"height: 42px; width: 219px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image069.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 44px; width: 143px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image070.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 44px; width: 127px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image071.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 173px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image072.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 116px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image073.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing equation <img decoding=\"async\" style=\"height: 22px; width: 116px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image073.png\" \/> with general form <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/>,<\/p>\n<p style=\"text-align: justify;\">We get <em>a <\/em>= 1, <em>b <\/em>= \u22123 and <em>c <\/em>= 2<\/p>\n<p style=\"text-align: justify;\">Using quadratic formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/> to solve equation,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 148px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image074.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 71px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image075.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image076.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x <\/em>= 2, 1<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"4_The_sum_of_reciprocals_of_Rehmans_ages_in_years_3_years_ago_and_5_years_from_now_is_13_Find_his_present_age\"><\/span><strong>4. The sum of reciprocals of Rehman&#8217;s ages (in years) 3 years ago and 5 years from now is 13. Find his present age.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let present age of Rehman = <em>x<\/em> years<\/p>\n<p style=\"text-align: justify;\">Age of Rehman 3 years ago = (<em>x <\/em>\u2212 3) years.<\/p>\n<p style=\"text-align: justify;\">Age of Rehman after 5 years = (<em>x <\/em>+ 5) years<\/p>\n<p style=\"text-align: justify;\">According to the given condition:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 42px; width: 109px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image077.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 44px; width: 128px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image078.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 3 (2<em>x <\/em>+ 2) = (<em>x <\/em>\u2212 3) (<em>x <\/em>+ 5)<\/p>\n<p style=\"text-align: justify;\">\u21d2 6<em>x <\/em>+ 6 = <img decoding=\"async\" style=\"height: 22px; width: 122px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image079.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 156px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image080.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 124px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image081.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing quadratic equation <img decoding=\"async\" style=\"height: 22px; width: 124px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image081.png\" \/> 0 with general form <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/>,<\/p>\n<p style=\"text-align: justify;\">We get <em>a <\/em>= 1, <em>b <\/em>= \u22124 and <em>c <\/em>= \u221221<\/p>\n<p style=\"text-align: justify;\">Using quadratic formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 165px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image082.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 109px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image083.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 143px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image084.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 42px; width: 114px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image085.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x <\/em>= 7, \u22123<\/p>\n<p style=\"text-align: justify;\">We discard <em>x<\/em>=\u22123. Since age cannot be in negative.<\/p>\n<p style=\"text-align: justify;\">Therefore, present age of Rehman is 7 years.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"5_In_a_class_test_the_sum_of_Shefalis_marks_in_Mathematics_and_English_is_30_Had_she_got_2_marks_more_in_Mathematics_and_3_marks_less_in_English_the_product_of_their_marks_would_have_been_210_Find_her_marks_in_the_two_subjects\"><\/span><strong>5. In a class test, the sum of Shefali&#8217;s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let Shefali&#8217;s marks in Mathematics = <em>x<\/em><\/p>\n<p style=\"text-align: justify;\">Let Shefali&#8217;s marks in English = 30 \u2212 <em>x<\/em><\/p>\n<p style=\"text-align: justify;\">If, she had got 2 marks more in Mathematics, her marks would be = <em>x <\/em>+ 2<\/p>\n<p style=\"text-align: justify;\">If, she had got 3 marks less in English, her marks in English would be = 30 \u2013 <em>x <\/em>\u2212 3 = 27 \u2212 <em>x<\/em><\/p>\n<p style=\"text-align: justify;\">According to given condition:<\/p>\n<p style=\"text-align: justify;\">(<em>x <\/em>+ 2) (27 \u2212 <em>x<\/em>) = 210<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 135px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image086.png\" \/>= 210<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 140px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image087.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing quadratic equation <img decoding=\"async\" style=\"height: 22px; width: 140px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image087.png\" \/> with general form <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/>,<\/p>\n<p style=\"text-align: justify;\">We get <em>a <\/em>= 1, <em>b <\/em>= \u221225 and <em>c <\/em>= 156<\/p>\n<p style=\"text-align: justify;\">Applying Quadratic Formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 180px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image088.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 139px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image089.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image090.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 42px; width: 111px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image091.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x <\/em>= 13, 12<\/p>\n<p style=\"text-align: justify;\">Therefore, Shefali&#8217;s marks in Mathematics = 13 or 12<\/p>\n<p style=\"text-align: justify;\">Shefali&#8217;s marks in English = 30 \u2013 <em>x <\/em>= 30 \u2013 13 = 17<\/p>\n<p style=\"text-align: justify;\">Or Shefali&#8217;s marks in English = 30 \u2013 <em>x <\/em>= 30 \u2013 12 = 18<\/p>\n<p style=\"text-align: justify;\">Therefore, her marks in Mathematics and English are (13, 17) or (12, 18).<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"6_The_diagonal_of_a_rectangular_field_is_60_metres_more_than_the_shorter_side_If_the_longer_side_is_30_metres_more_than_the_shorter_side_find_the_sides_of_the_field\"><\/span><strong>6. The diagonal of a rectangular field is 60 metres more than the shorter side. If, the longer side is 30 metres more than the shorter side, find the sides of the field.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let shorter side of rectangle = <em>x<\/em>metres<\/p>\n<p style=\"text-align: justify;\">Let diagonal of rectangle = (<em>x <\/em>+ 60) metres<\/p>\n<p style=\"text-align: justify;\">Let longer side of rectangle = (<em>x <\/em>+ 30) metres<\/p>\n<p style=\"text-align: justify;\">According to pythagoras theorem,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 67px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image092.png\" \/>= <img decoding=\"async\" style=\"height: 29px; width: 95px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image093.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 127px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image094.png\" \/>= <img decoding=\"async\" style=\"height: 22px; width: 140px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image095.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 149px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image096.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing equation <img decoding=\"async\" style=\"height: 22px; width: 149px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image096.png\" \/> with standard form <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/>,<\/p>\n<p style=\"text-align: justify;\">We get <em>a <\/em>= 1, <em>b <\/em>= \u221260 and <em>c <\/em>= \u22122700<\/p>\n<p style=\"text-align: justify;\">Applying quadratic formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 201px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image097.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 157px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image098.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 188px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image099.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 42px; width: 145px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image100.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x <\/em>= 90, \u201330<\/p>\n<p style=\"text-align: justify;\">We ignore \u201330. Since length cannot be in negative.<\/p>\n<p style=\"text-align: justify;\">Therefore, <em>x <\/em>= 90 which means length of shorter side = 90 metres<\/p>\n<p style=\"text-align: justify;\">And length of longer side = <em>x <\/em>+ 30 = 90 + 30 = 120 metres<\/p>\n<p style=\"text-align: justify;\">Therefore, length of sides are 90 and 120 in metres.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"7_The_difference_of_squares_of_two_numbers_is_180_The_square_of_the_smaller_number_is_8_times_the_larger_number_Find_the_two_numbers\"><\/span><strong>7. The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let smaller number = <em>x <\/em>and let larger number = <em>y<\/em><\/p>\n<p style=\"text-align: justify;\">According to condition:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image101.png\" \/>\u2026 (1)<\/p>\n<p style=\"text-align: justify;\">Also, we are given that square of smaller number is 8 times the larger number.<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 24px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image102.png\" \/><em>\u2026 <\/em>(2)<\/p>\n<p style=\"text-align: justify;\">Putting equation (2) in (1), we get<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 100px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image103.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 24px; width: 133px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image104.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing equation <img decoding=\"async\" style=\"height: 24px; width: 133px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image104.png\" \/> with general form <img decoding=\"async\" style=\"height: 24px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image105.png\" \/>,<\/p>\n<p style=\"text-align: justify;\">We get <em>a <\/em>= 1, <em>b <\/em>= \u22128 and <em>c <\/em>= \u2212180<\/p>\n<p style=\"text-align: justify;\">Using quadratic formula <img decoding=\"async\" style=\"height: 47px; width: 136px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image106.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 187px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image107.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image108.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 145px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image109.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 42px; width: 116px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image110.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>y <\/em>= 18, \u221210<\/p>\n<p style=\"text-align: justify;\">Using equation (2) to find smaller number:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image102.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 24px; width: 122px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image111.png\" \/>= 144<\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x <\/em>= \u00b112<\/p>\n<p style=\"text-align: justify;\">And, <img decoding=\"async\" style=\"height: 24px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image102.png\" \/>= <img decoding=\"async\" style=\"height: 19px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image112.png\" \/>{No real solution for x}<\/p>\n<p style=\"text-align: justify;\">Therefore, two numbers are (12, 18) or (\u221212, 18)<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"8_A_train_travels_360_km_at_a_uniform_speed_If_the_speed_had_been_5_kmhr_more_it_would_have_taken_1_hour_less_for_the_same_journey_Find_the_speed_of_the_train\"><\/span><strong>8. A train travels 360 km at a uniform speed. If, the speed had been 5 km\/hr more, it would have taken 1 hour less for the same journey. Find the speed of the train.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let the speed of the train = x km\/hr<\/p>\n<p style=\"text-align: justify;\">If, speed had been 5 km\/hr more, train would have taken 1 hour less.<\/p>\n<p style=\"text-align: justify;\">So, according to this condition<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 42px; width: 99px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image113.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 121px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image114.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 48px; width: 119px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image115.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 130px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image116.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 139px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image117.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing equation <img decoding=\"async\" style=\"height: 22px; width: 139px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image117.png\" \/>with general equation <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/>,<\/p>\n<p style=\"text-align: justify;\">We get <em>a <\/em>= 1, <em>b <\/em>= 5 and <em>c <\/em>= \u22121800<\/p>\n<p style=\"text-align: justify;\">Applying quadratic formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 192px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image118.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 139px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image119.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 174px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image120.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 42px; width: 138px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image121.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x <\/em>= 40, \u221245<\/p>\n<p style=\"text-align: justify;\">Since speed of train cannot be in negative. Therefore, we discard <em>x <\/em>= \u221245<\/p>\n<p style=\"text-align: justify;\">Therefore, speed of train = 40 km\/hr<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"9_Two_water_taps_together_can_fill_a_tank_in_hours_The_tap_of_larger_diameter_takes_10_hours_less_than_the_smaller_one_to_fill_the_tank_separately_Find_the_time_in_which_each_tap_can_separately_fill_the_tank\"><\/span><strong>9. Two water taps together can fill a tank in <img decoding=\"async\" style=\"height: 42px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image122.png\" \/>hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let time taken by tap of smaller diameter to fill the tank = <em>x<\/em> hours<\/p>\n<p style=\"text-align: justify;\">Let time taken by tap of larger diameter to fill the tank = (<em>x <\/em>\u2013 10) hours<\/p>\n<p style=\"text-align: justify;\">It means that tap of smaller diameter fills <img decoding=\"async\" style=\"height: 45px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image123.png\" \/>part of tank in 1 hour.\u2026 (1)<\/p>\n<p style=\"text-align: justify;\">And, tap of larger diameter fills <img decoding=\"async\" style=\"height: 45px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image124.png\" \/> part of tank in 1 hour. \u2026 (2)<\/p>\n<p style=\"text-align: justify;\">When two taps are used together, they fill tank in 758 hours.<\/p>\n<p style=\"text-align: justify;\">In 1 hour, they fill <img decoding=\"async\" style=\"height: 45px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image125.png\" \/> part of tank<img decoding=\"async\" style=\"height: 83px; width: 74px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image126.png\" \/>\u2026 (3)<\/p>\n<p style=\"text-align: justify;\">From (1), (2) and (3),<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 42px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image127.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 44px; width: 100px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image128.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 75 (2<em>x <\/em>\u2212 10) = <img decoding=\"async\" style=\"height: 29px; width: 88px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image129.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 150<em>x <\/em>\u2013 750 = <img decoding=\"async\" style=\"height: 22px; width: 71px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image130.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 172px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image131.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 155px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image132.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing equation <img decoding=\"async\" style=\"height: 22px; width: 155px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image132.png\" \/>with general equation <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/>,<\/p>\n<p style=\"text-align: justify;\">We get <em>a <\/em>= 4, <em>b <\/em>= \u2212115 and <em>c <\/em>= 375<\/p>\n<p style=\"text-align: justify;\">Applying quadratic formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 207px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image133.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 164px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image134.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image135.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 42px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image136.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 42px; width: 143px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image137.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x <\/em>= 25, 3.75<\/p>\n<p style=\"text-align: justify;\">Time taken by larger tap = <em>x <\/em>\u2013 10 = 3.75 \u2013 10 = \u22126.25 hours<\/p>\n<p style=\"text-align: justify;\">Time cannot be in negative. Therefore, we ignore this value.<\/p>\n<p style=\"text-align: justify;\">Time taken by larger tap = <em>x <\/em>\u2013 10 = 25 \u2013 10 = 15 hours<\/p>\n<p style=\"text-align: justify;\">Therefore, time taken by larger tap is 15 hours and time taken by smaller tap is 25 hours.<\/p>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" style=\"height: 22px; width: 132px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image138.png\" \/><\/strong><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"10_An_express_train_takes_1_hour_less_than_a_passenger_train_to_travel_132_km_between_Mysore_and_Bangalore_without_taking_into_consideration_the_time_they_stop_at_intermediate_stations_If_the_average_speed_of_the_express_train_is_11_kmh_more_than_that_of_the_passenger_train_find_the_average_speed_of_two_trains\"><\/span><strong>10. An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If, the average speed of the express train is 11 km\/h more than that of the passenger train, find the average speed of two trains.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let average speed of passenger train = <em>x<\/em> km\/h<\/p>\n<p style=\"text-align: justify;\">Let average speed of express train = (<em>x <\/em>+ 11) km\/h<\/p>\n<p style=\"text-align: justify;\">Time taken by passenger train to cover 132 km = <img decoding=\"async\" style=\"height: 42px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image139.png\" \/> hours<\/p>\n<p style=\"text-align: justify;\">Time taken by express train to cover 132 km = <img decoding=\"async\" style=\"height: 45px; width: 58px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image140.png\" \/> hours<\/p>\n<p style=\"text-align: justify;\">According to the given condition,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 42px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image141.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image142.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 48px; width: 124px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image143.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 132 (11) = <em>x <\/em>(<em>x <\/em>+ 11)<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image144.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 145px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image145.png\" \/><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Comparing_equation_with_general_quadratic_equation_we_get_a_1_b_11_and_c_%E2%88%921452\"><\/span>Comparing equation <img decoding=\"async\" style=\"height: 22px; width: 145px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image145.png\" \/> with general quadratic equation <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/>, we get <em>a <\/em>= 1, <em>b <\/em>= 11 and <em>c <\/em>= \u22121452<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\">Applying Quadratic Formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 204px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image146.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 149px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image147.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 114px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image148.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 42px; width: 87px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image149.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 42px; width: 150px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image150.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x <\/em>= 33, \u221244<\/p>\n<p style=\"text-align: justify;\">As speed cannot be in negative. Therefore, speed of passenger train = 33 km\/h<\/p>\n<p style=\"text-align: justify;\">And, speed of express train = <em>x <\/em>+ 11 = 33 + 11 = 44 km\/h<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"11_Sum_of_areas_of_two_squares_is_468_m2_If_the_difference_of_their_perimeters_is_24_metres_find_the_sides_of_the_two_squares\"><\/span><strong>11. Sum of areas of two squares is 468 m<sup>2<\/sup>. If, the difference of their perimeters is 24 metres, find the sides of the two squares.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let perimeter of first square = <em>x<\/em> metres<\/p>\n<p style=\"text-align: justify;\">Let perimeter of second square = (<em>x <\/em>+ 24) metres<\/p>\n<p style=\"text-align: justify;\">Length of side of first square = <img decoding=\"async\" style=\"height: 42px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image151.png\" \/>metres {Perimeter of square = <img decoding=\"async\" style=\"height: 22px; width: 127px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image152.png\" \/>}<\/p>\n<p style=\"text-align: justify;\">Length of side of second square = <img decoding=\"async\" style=\"height: 45px; width: 63px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image153.png\" \/>metres<\/p>\n<p style=\"text-align: justify;\">Area of first square = side \u00d7 side = <img decoding=\"async\" style=\"height: 44px; width: 96px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image154.png\" \/><\/p>\n<p style=\"text-align: justify;\">Area of second square = <img decoding=\"async\" style=\"height: 49px; width: 87px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image155.png\" \/><\/p>\n<p style=\"text-align: justify;\">According to given condition:<\/p>\n<p style=\"text-align: justify;\"><em><img decoding=\"async\" style=\"height: 49px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image156.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 44px; width: 177px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image157.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em><img decoding=\"async\" style=\"height: 44px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image158.png\" \/><\/em><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image159.png\" \/>= <img decoding=\"async\" style=\"height: 19px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image160.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 115px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image161.png\" \/>= 7488<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 122px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image162.png\" \/>= 0<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 115px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image163.png\" \/>= 0<\/p>\n<p style=\"text-align: justify;\">Comparing equation <img decoding=\"async\" style=\"height: 22px; width: 115px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image163.png\" \/>=0 with standard form <strong><img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image042.png\" \/><\/strong>,<\/p>\n<p style=\"text-align: justify;\">We get <em>a <\/em>= 1, <em>b <\/em>=24 and <em>c <\/em>= \u22123456<\/p>\n<p style=\"text-align: justify;\">Applying Quadratic Formula <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image043.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 48px; width: 210px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image164.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 167px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image165.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 207px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image166.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 42px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image167.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x <\/em>= 48, \u221272<\/p>\n<p style=\"text-align: justify;\">Perimeter of square cannot be in negative. Therefore, we discard <em>x<\/em>=\u221272.<\/p>\n<p style=\"text-align: justify;\">Therefore, perimeter of first square = 48 metres<\/p>\n<p style=\"text-align: justify;\">And, Perimeter of second square = <em>x <\/em>+ 24 = 48 + 24 = 72 metres<\/p>\n<p style=\"text-align: justify;\">\u21d2 Side of First square = <img decoding=\"async\" style=\"height: 42px; width: 152px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image168.png\" \/><\/p>\n<p style=\"text-align: justify;\">And, Side of second Square = <img decoding=\"async\" style=\"height: 42px; width: 152px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.3\/image169.png\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_10_Maths_Exercise_43\"><\/span>NCERT Solutions for Class 10 Maths Exercise 4.3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 10 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 10 Maths includes text book solutions from Mathematics Book. NCERT Solutions for CBSE Class 10 Maths have total 15 chapters. 10 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 10 solutions PDF and Maths ncert class 10 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Class_10\"><\/span>CBSE app for Class 10<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 10 Maths, Computer Science, Home Science,Hindi ,English, Social Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 10 Maths Exercise 4.3 Class 10 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class &#8230; <a title=\"NCERT Solutions for Class 10 Maths Exercise 4.3\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-3\/\" aria-label=\"More on NCERT Solutions for Class 10 Maths Exercise 4.3\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":30003,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1347,281],"tags":[1042,283,438,321,1485,216],"class_list":["post-4949","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics","category-ncert-solutions","tag-cbse-class-10-mathematics","tag-cbse-study-material","tag-class-10","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 10 Maths Exercise 4.3 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 10 Maths Exercise 4.3 in PDF format for free download. 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