{"id":4927,"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-4-2\/"},"modified":"2023-03-22T15:18:44","modified_gmt":"2023-03-22T09:48:44","slug":"ncert-solutions-class-10-maths-exercise-4-2","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-2\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Exercise 4.2"},"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-4-2\/#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-4-2\/#1_Find_the_roots_of_the_following_Quadratic_Equations_by_factorization\" >1. Find the roots of the following Quadratic Equations by factorization.<\/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-4-2\/#2_Solve_the_following_problems_given\" >2. Solve the following problems given:<\/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-4-2\/#3Find_two_numbers_whose_sum_is_27_and_product_is_182\" >3.Find two numbers whose sum is 27 and product is 182.<\/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-4-2\/#4_Find_two_consecutive_positive_integers_sum_of_whose_squares_is_365\" >4. Find two consecutive positive integers, sum of whose squares is 365.<\/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-4-2\/#5The_altitude_of_right_triangle_is_7_cm_less_than_its_base_If_hypotenuse_is_13_cm_Find_the_other_two_sides\" >5.The altitude of right triangle is 7 cm less than its base. If, hypotenuse is 13 cm. Find the other two sides.<\/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-4-2\/#6_A_cottage_industry_produces_a_certain_number_of_pottery_articles_in_a_day_It_was_observed_on_a_particular_day_that_cost_of_production_of_each_article_in_rupees_was_3_more_than_twice_the_number_of_articles_produced_on_that_day_If_the_total_cost_of_production_on_that_day_was_Rs_90_find_the_number_of_articles_produced_and_the_cost_of_each_article\" >6. A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If, the total cost of production on that day was Rs. 90, find the number of articles produced and the cost of each article.<\/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-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-2\/#NCERT_Solutions_for_Class_10_Maths_Exercise_42\" >NCERT Solutions for Class 10 Maths Exercise 4.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-2\/#CBSE_app_for_Class_10\" >CBSE app for Class 10<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 10 Maths Exercise 4.2 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 4.2\" width=\"163\" height=\"201\" \/><\/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_by_factorization\"><\/span><strong>1. Find the roots of the following Quadratic Equations by factorization.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 22px; width: 124px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/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\/Ex4.2\/image002.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<img decoding=\"async\" style=\"height: 23px; width: 136px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image003.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iv)<img decoding=\"async\" style=\"height: 42px; width: 99px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image004.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(v)<img decoding=\"async\" style=\"height: 22px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image005.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><em>x<\/em><sup>2<\/sup> \u2212 3<em>x <\/em>\u2013 10 = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 159px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image006.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>(<em>x <\/em>\u2212 5) + 2 (<em>x <\/em>\u2212 5) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2(<em>x <\/em>\u2212 5) (<em>x <\/em>+ 2) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>= 5, \u22122<\/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\/Ex4.2\/image007.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 160px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image008.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d22<em>x <\/em>(<em>x <\/em>+ 2) \u2013 3 (<em>x <\/em>+ 2) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2(2<em>x <\/em>\u2212 3) (<em>x <\/em>+ 2) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>= <img decoding=\"async\" style=\"height: 42px; width: 38px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image009.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<\/strong><img decoding=\"async\" style=\"height: 23px; width: 136px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image003.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 23px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image010.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 25px; width: 194px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image011.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 25px; width: 143px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image012.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 44px; width: 87px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image013.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\/Ex4.2\/image014.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 45px; width: 106px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image015.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(iv)<\/strong> <img decoding=\"async\" style=\"height: 42px; width: 77px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image016.png\" \/> = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 44px; width: 111px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image017.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 128px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image018.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 165px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image019.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d24<em>x <\/em>(4<em>x <\/em>\u2212 1) \u2013 1 (4<em>x <\/em>\u2212 1) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2(4<em>x <\/em>\u2212 1) (4<em>x <\/em>\u2212 1) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 42px; width: 58px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image020.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(v)<img decoding=\"async\" style=\"height: 22px; width: 145px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image021.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 159px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image022.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d210<em>x <\/em>(10<em>x <\/em>\u2212 1) \u2013 1 (10<em>x <\/em>\u2212 1) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2(10<em>x <\/em>\u2212 1) (10<em>x <\/em>\u2212 1) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>= <img decoding=\"async\" style=\"height: 42px; width: 45px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image023.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2_Solve_the_following_problems_given\"><\/span><strong>2. Solve the following problems given:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 22px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image024.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 22px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image025.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<img decoding=\"async\" style=\"height: 22px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image026.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 176px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image027.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>(<em>x <\/em>\u2212 36) \u2013 9 (<em>x <\/em>\u2212 36) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2(<em>x <\/em>\u2212 9) (<em>x <\/em>\u2212 36) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>= 9, 36<\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 22px; width: 140px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image028.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 184px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image029.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>(<em>x <\/em>\u2212 25) \u2013 30 (<em>x <\/em>\u2212 25) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2(<em>x <\/em>\u2212 30) (<em>x <\/em>\u2212 25) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>= 30, 25<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"3Find_two_numbers_whose_sum_is_27_and_product_is_182\"><\/span><strong>3.Find two numbers whose sum is 27 and product is 182.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let first number be <em>x <\/em>and let second number be (27 \u2212 <em>x<\/em>)<\/p>\n<p style=\"text-align: justify;\">According to given condition, the product of two numbers is 182.<\/p>\n<p style=\"text-align: justify;\">Therefore,<\/p>\n<p style=\"text-align: justify;\"><em>x <\/em>(27 \u2212 <em>x<\/em>) = 182<\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 103px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image030.png\" \/><\/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\/Ex4.2\/image031.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 180px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image032.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>(<em>x <\/em>\u2212 14) \u2013 13 (<em>x <\/em>\u2212 14) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2(<em>x <\/em>\u2212 14) (<em>x <\/em>\u2212 13) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>= 14, 13<\/p>\n<p style=\"text-align: justify;\">Therefore, the first number is equal to 14 or 13<\/p>\n<p style=\"text-align: justify;\">And, second number is = 27 \u2013 <em>x <\/em>= 27 \u2013 14 = 13 or Second number = 27 \u2013 13 = 14<\/p>\n<p style=\"text-align: justify;\">Therefore, two numbers are 13 and 14.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"4_Find_two_consecutive_positive_integers_sum_of_whose_squares_is_365\"><\/span><strong>4. Find two consecutive positive integers, sum of whose squares is 365.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let first number be <em>x <\/em>and let second number be (<em>x <\/em>+ 1)<\/p>\n<p style=\"text-align: justify;\">According to given condition,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 138px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image033.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 35px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image034.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 160px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image035.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image036.png\" \/><\/p>\n<p style=\"text-align: justify;\">Dividing equation by 2<\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 119px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image037.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 180px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image038.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>(<em>x <\/em>+ 14) \u2013 13 (<em>x <\/em>+ 14) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2 (<em>x <\/em>+ 14) (<em>x <\/em>\u2212 13) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>= 13, \u221214<\/p>\n<p style=\"text-align: justify;\">Therefore, first number = 13 {We discard -14 because it is negative number)<\/p>\n<p style=\"text-align: justify;\">Second number = <em>x <\/em>+ 1 = 13 + 1 = 14<\/p>\n<p style=\"text-align: justify;\">Therefore, two consecutive positive integers are 13 and 14 whose sum of squares is equal to 365.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"5The_altitude_of_right_triangle_is_7_cm_less_than_its_base_If_hypotenuse_is_13_cm_Find_the_other_two_sides\"><\/span><strong>5.The altitude of right triangle is 7 cm less than its base. If, hypotenuse is 13 cm. Find the other two sides.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let base of triangle be <em>x<\/em> cm and let altitude of triangle be (<em>x <\/em>\u2212 7) cm<\/p>\n<p style=\"text-align: justify;\">It is given that hypotenuse of triangle is 13 cm<\/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: 183px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image039.png\" \/>= <img decoding=\"async\" style=\"height: 22px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image040.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 176px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image041.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2169 =<img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image042.png\" \/><\/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\/Ex4.2\/image043.png\" \/>= 0<\/p>\n<p style=\"text-align: justify;\">Dividing equation by 2<\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 125px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image044.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 167px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image045.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>(<em>x <\/em>\u2212 12) + 5 (<em>x <\/em>\u2212 12) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2(<em>x <\/em>\u2212 12) (<em>x <\/em>+ 5)<\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>= \u22125, 12<\/p>\n<p style=\"text-align: justify;\">We discard <em>x <\/em>= \u22125 because length of side of triangle cannot be negative.<\/p>\n<p style=\"text-align: justify;\">Therefore, base of triangle = 12 cm<\/p>\n<p style=\"text-align: justify;\">Altitude of triangle = (<em>x <\/em>\u2212 7) = 12 \u2013 7 = 5 cm<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"6_A_cottage_industry_produces_a_certain_number_of_pottery_articles_in_a_day_It_was_observed_on_a_particular_day_that_cost_of_production_of_each_article_in_rupees_was_3_more_than_twice_the_number_of_articles_produced_on_that_day_If_the_total_cost_of_production_on_that_day_was_Rs_90_find_the_number_of_articles_produced_and_the_cost_of_each_article\"><\/span><strong>6. A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If, the total cost of production on that day was Rs. 90, find the number of articles produced and the cost of each article.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong> Let cost of production of each article be Rs x<\/p>\n<p style=\"text-align: justify;\">We are given total cost of production on that particular day = Rs 90<\/p>\n<p style=\"text-align: justify;\">Therefore, total number of articles produced that day = 90\/x<\/p>\n<p style=\"text-align: justify;\">According to the given conditions,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 45px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image046.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 42px; width: 74px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image047.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 42px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image048.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 104px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image049.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image050.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 180px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image051.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<em>x <\/em>(<em>x <\/em>\u2212 15) + 12 (<em>x <\/em>\u2212 15) = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2(<em>x <\/em>\u2212 15) (<em>x <\/em>+ 12) = 0\u21d2<em>x <\/em>= 15, \u221212<\/p>\n<p style=\"text-align: justify;\">Cost cannot be in negative, therefore, we discard <em>x <\/em>= \u221212<\/p>\n<p style=\"text-align: justify;\">Therefore, <em>x <\/em>= <em>Rs <\/em>15 which is the cost of production of each article.<\/p>\n<p style=\"text-align: justify;\">Number of articles produced on that particular day = <img decoding=\"async\" style=\"height: 42px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.2\/image052.png\" \/>= 6<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_10_Maths_Exercise_42\"><\/span>NCERT Solutions for Class 10 Maths Exercise 4.2<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<div id=\"wp_rp_first\" class=\"wp_rp_wrap wp_rp_plain\">\n<div class=\"wp_rp_content\"><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 10 Maths Exercise 4.2 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 4.2\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-2\/\" aria-label=\"More on NCERT Solutions for Class 10 Maths Exercise 4.2\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":30009,"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-4927","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 4.2 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 10 Maths Exercise 4.2 in PDF format for free download. 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