{"id":4939,"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-4-4\/"},"modified":"2023-03-22T15:19:32","modified_gmt":"2023-03-22T09:49:32","slug":"ncert-solutions-class-10-maths-exercise-4-4","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Exercise 4.4"},"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-4-4\/#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-4-4\/#1_Find_the_nature_of_the_roots_of_the_following_quadratic_equations_If_the_real_roots_exist_find_them\" >1. Find the nature of the roots of the following quadratic equations. If the real roots exist, find them.<\/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-4-4\/#2_Find_the_value_of_k_for_each_of_the_following_quadratic_equations_so_that_they_have_two_equal_roots\" >2. Find the value of k for each of the following quadratic equations, so that they have two equal roots.<\/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-4-4\/#3_Is_it_possible_to_design_a_rectangular_mango_grove_whose_length_is_twice_its_breadth_and_the_area_is_If_so_find_its_length_and_breadth\" >3. Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is. If so, find its length and breadth.<\/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-4-4\/#4_Is_the_following_situation_possible_If_so_determine_their_present_ages\" >4. Is the following situation possible? If so, determine their present ages.<\/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-4-4\/#5_Is_it_possible_to_design_a_rectangular_park_of_perimeter_80_metres_and_area_400_m2_If_so_find_its_length_and_breadth\" >5. Is it possible to design a rectangular park of perimeter 80 metres and area 400 m2. If so, find its length and breadth.<\/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-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#NCERT_Solutions_for_Class_10_Maths_Exercise_44\" >NCERT Solutions for Class 10 Maths Exercise 4.4<\/a><\/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-4-4\/#CBSE_app_for_Class_10\" >CBSE app for Class 10<\/a><\/li><\/ul><\/nav><\/div>\n<div class=\"addtoany_share_save_container addtoany_content_top\">\n<div class=\"a2a_kit a2a_kit_size_50 addtoany_list\" data-a2a-url=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-1\/\" data-a2a-title=\"NCERT Solutions for Class 10 Maths Exercise 4.1\">NCERT Solutions for Class 10 Maths Exercise 4.4 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.<\/div>\n<\/div>\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 4.4\" width=\"153\" height=\"188\" \/><\/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_nature_of_the_roots_of_the_following_quadratic_equations_If_the_real_roots_exist_find_them\"><\/span><strong>1. Find the nature of the roots of the following quadratic equations. If the real roots exist, find them.<\/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\/Ex4.4\/image001.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) <img decoding=\"async\" style=\"height: 24px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image002.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii) <img decoding=\"async\" style=\"height: 22px; width: 130px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image003.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> <img decoding=\"async\" style=\"height: 22px; width: 130px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image004.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing this equation with general equation <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image005.png\" \/>,<\/p>\n<p style=\"text-align: justify;\">We get <em>a <\/em>= 2, <em>b <\/em>= \u22123 and <em>c <\/em>= 5<\/p>\n<p style=\"text-align: justify;\">Discriminant = <img decoding=\"async\" style=\"height: 29px; width: 148px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image006.png\" \/> (2) (5)<\/p>\n<p style=\"text-align: justify;\">= 9 \u2013 40 = \u221231<\/p>\n<p style=\"text-align: justify;\">Discriminant is less than 0 which means equation has no real roots.<\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> <img decoding=\"async\" style=\"height: 24px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image002.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing this equation with general equation <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image005.png\" \/>,<\/p>\n<p style=\"text-align: justify;\">We get <em>a <\/em>= 3, <em>b <\/em>= <img decoding=\"async\" style=\"height: 24px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image007.png\" \/>and c = 4<\/p>\n<p style=\"text-align: justify;\">Discriminant = <img decoding=\"async\" style=\"height: 22px; width: 62px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image008.png\" \/> = <img decoding=\"async\" style=\"height: 29px; width: 58px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image009.png\" \/>\u2212 4 (3) (4)<\/p>\n<p style=\"text-align: justify;\">= 48 \u2013 48 = 0<\/p>\n<p style=\"text-align: justify;\">Discriminant is equal to zero which means equations has equal real roots.<\/p>\n<p style=\"text-align: justify;\">Applying quadratic <img decoding=\"async\" style=\"height: 47px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image010.png\" \/> to find roots,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 45px; width: 139px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image011.png\" \/><\/p>\n<p style=\"text-align: justify;\">Because, equation has two equal roots, it means <img decoding=\"async\" style=\"height: 45px; width: 96px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image012.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<\/strong> <img decoding=\"async\" style=\"height: 22px; width: 130px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image013.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing equation with general equation <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image005.png\" \/>,<\/p>\n<p style=\"text-align: justify;\">We get <em>a <\/em>= 2, <em>b <\/em>= \u22126, and <em>c <\/em>= 3<\/p>\n<p style=\"text-align: justify;\">Discriminant = <img decoding=\"async\" style=\"height: 29px; width: 149px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image014.png\" \/> (2) (3)<\/p>\n<p style=\"text-align: justify;\">= 36 \u2013 24 = 12<\/p>\n<p style=\"text-align: justify;\">Value of discriminant is greater than zero.<\/p>\n<p style=\"text-align: justify;\">Therefore, equation has distinct and real roots.<\/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\/Ex4.4\/image010.png\" \/> to find roots,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 45px; width: 148px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image015.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image016.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 45px; width: 127px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image017.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.4<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2_Find_the_value_of_k_for_each_of_the_following_quadratic_equations_so_that_they_have_two_equal_roots\"><\/span><strong>2. Find the value of k for each of the following quadratic equations, so that they have two equal roots.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i) <img decoding=\"async\" style=\"height: 22px; width: 119px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image018.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) <em>kx <\/em>(<em>x <\/em>\u2212 2) + 6 = 0<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i) <\/strong><img decoding=\"async\" style=\"height: 22px; width: 118px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image019.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that quadratic equation has two equal roots only when the value of discriminant is equal to zero.<\/p>\n<p style=\"text-align: justify;\">Comparing equation <img decoding=\"async\" style=\"height: 22px; width: 119px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image020.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\/Ex4.4\/image005.png\" \/>, we get <em>a <\/em>= 2, <em>b <\/em>= <em>k<\/em> and <em>c <\/em>= 3<\/p>\n<p style=\"text-align: justify;\">Discriminant = <img decoding=\"async\" style=\"height: 22px; width: 121px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image021.png\" \/> (2) (3) = <img decoding=\"async\" style=\"height: 22px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image022.png\" \/><\/p>\n<p style=\"text-align: justify;\">Putting discriminant equal to zero<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 22px; width: 166px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image023.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 24px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image024.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 25px; width: 100px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image025.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong><em>kx <\/em>(<em>x <\/em>\u2212 2) + 6 = 0<\/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\/Ex4.4\/image026.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing quadratic equation <img decoding=\"async\" style=\"height: 22px; width: 130px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image027.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\/Ex4.4\/image005.png\" \/>, we get <em>a <\/em>= <em>k<\/em>, <em>b <\/em>= \u22122<em>k<\/em> and <em>c <\/em>= 6<\/p>\n<p style=\"text-align: justify;\">Discriminant = <img decoding=\"async\" style=\"height: 29px; width: 158px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image028.png\" \/> (<em>k<\/em>) (6) = <img decoding=\"async\" style=\"height: 22px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image029.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that two roots of quadratic equation are equal only if discriminant is equal to zero.<\/p>\n<p style=\"text-align: justify;\">Putting discriminant equal to zero<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 22px; width: 101px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image030.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 4<em>k <\/em>(<em>k <\/em>\u2212 6) = 0\u21d2 <em>k <\/em>= 0, 6<\/p>\n<p style=\"text-align: justify;\">The basic definition of quadratic equation says that quadratic equation is the equation of the form <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image005.png\" \/>, where <em>a <\/em>\u2260 0.<\/p>\n<p style=\"text-align: justify;\">Therefore, in equation <img decoding=\"async\" style=\"height: 22px; width: 130px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image026.png\" \/>, we cannot have k = 0.<\/p>\n<p style=\"text-align: justify;\">Therefore, we discard k = 0.<\/p>\n<p style=\"text-align: justify;\">Hence the answer is k = 6.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.4<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"3_Is_it_possible_to_design_a_rectangular_mango_grove_whose_length_is_twice_its_breadth_and_the_area_is_If_so_find_its_length_and_breadth\"><\/span><strong>3. Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is<img decoding=\"async\" style=\"height: 22px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image031.png\" \/>. If so, find its length and breadth.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let breadth of rectangular mango grove = <em>x<\/em> metres<\/p>\n<p style=\"text-align: justify;\">Let length of rectangular mango grove = 2<em>x<\/em> metres<\/p>\n<p style=\"text-align: justify;\">Area of rectangle = <img decoding=\"async\" style=\"height: 22px; width: 118px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image032.png\" \/>= <img decoding=\"async\" style=\"height: 22px; width: 102px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image033.png\" \/><\/p>\n<p style=\"text-align: justify;\">According to given condition:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 22px; width: 73px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image034.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 71px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image035.png\" \/>= 0 <img decoding=\"async\" style=\"height: 22px; width: 82px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image036.png\" \/>= 0<\/p>\n<p style=\"text-align: justify;\">Comparing equation <img decoding=\"async\" style=\"height: 22px; width: 99px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image037.png\" \/>with general form of quadratic equation <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image005.png\" \/>, we get <em>a <\/em>= 1, <em>b <\/em>= 0 and <em>c <\/em>= \u2212400<\/p>\n<p style=\"text-align: justify;\">Discriminant <img decoding=\"async\" style=\"height: 29px; width: 150px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image038.png\" \/> (1) (\u2212400) = 1600<\/p>\n<p style=\"text-align: justify;\">Discriminant is greater than 0 means that equation has two disctinct real roots.<\/p>\n<p style=\"text-align: justify;\">Therefore, it is possible to design a rectangular grove.<\/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\/Ex4.4\/image010.png\" \/> to solve equation,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 45px; width: 188px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image039.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x <\/em>= 20, \u221220<\/p>\n<p style=\"text-align: justify;\">We discard negative value of <em>x<\/em> because breadth of rectangle cannot be in negative.<\/p>\n<p style=\"text-align: justify;\">Therefore, <em>x<\/em> = breadth of rectangle = 20 metres<\/p>\n<p style=\"text-align: justify;\">Length of rectangle = 2<em>x <\/em>= <img decoding=\"async\" style=\"height: 19px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image040.png\" \/>= 40 metres<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.4<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"4_Is_the_following_situation_possible_If_so_determine_their_present_ages\"><\/span><strong>4. Is the following situation possible? If so, determine their present ages. <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let age of first friend = <em>x<\/em> years and let age of second friend = (20 \u2212 <em>x<\/em>) years<\/p>\n<p style=\"text-align: justify;\">Four years ago, age of first friend = (<em>x <\/em>\u2212 4) years<\/p>\n<p style=\"text-align: justify;\">Four years ago, age of second friend = (20 \u2212 <em>x<\/em>) \u2212 4 = (16 \u2212 <em>x<\/em>) years<\/p>\n<p style=\"text-align: justify;\">According to given condition,<\/p>\n<p style=\"text-align: justify;\">(<em>x <\/em>\u2212 4) (16 \u2212 <em>x<\/em>) = 48<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 133px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image041.png\" \/>= 48<\/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\/Ex4.4\/image042.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\/Ex4.4\/image043.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing equation, <img decoding=\"async\" style=\"height: 22px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image044.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\/Ex4.4\/image005.png\" \/>, we get <em>a <\/em>= 1, <em>b <\/em>= \u221220 and <em>c <\/em>= 112<\/p>\n<p style=\"text-align: justify;\">Discriminant = <img decoding=\"async\" style=\"height: 29px; width: 158px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image045.png\" \/>(1) (112) = 400 \u2013 448 = \u221248 &lt; 0<\/p>\n<p style=\"text-align: justify;\">Discriminant is less than zero which means we have no real roots for this equation.<\/p>\n<p style=\"text-align: justify;\">Therefore, the give situation is not possible.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.4<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"5_Is_it_possible_to_design_a_rectangular_park_of_perimeter_80_metres_and_area_400_m2_If_so_find_its_length_and_breadth\"><\/span><strong>5. Is it possible to design a rectangular park of perimeter 80 metres and area 400 <em>m<\/em><sup>2<\/sup>. If so, find its length and breadth.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let length of park = <em>x<\/em> metres<\/p>\n<p style=\"text-align: justify;\">We are given area of rectangular park = <img decoding=\"async\" style=\"height: 22px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image046.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, breadth of park = <img decoding=\"async\" style=\"height: 42px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image047.png\" \/> metres{Area of rectangle = length \u00d7 <em>breadth<\/em>}<\/p>\n<p style=\"text-align: justify;\">Perimeter of rectangular park = 2 (<em>length <\/em>+ <em>breath<\/em>) = <img decoding=\"async\" style=\"height: 45px; width: 78px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image048.png\" \/>metres<\/p>\n<p style=\"text-align: justify;\">We are given perimeter of rectangle = 80 metres<\/p>\n<p style=\"text-align: justify;\">According to condition:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 45px; width: 111px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image049.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 51px; width: 116px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image050.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 121px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image051.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 148px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image052.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\/Ex4.4\/image053.png\" \/><\/p>\n<p style=\"text-align: justify;\">Comparing equation, <img decoding=\"async\" style=\"height: 22px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image053.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\/Ex4.4\/image005.png\" \/>, we get <em>a <\/em>= 1, <em>b <\/em>= \u221240 and <em>c <\/em>= 400<\/p>\n<p style=\"text-align: justify;\">Discriminant = <img decoding=\"async\" style=\"height: 29px; width: 158px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image054.png\" \/> (1) (400) = 1600 \u2013 1600 = 0<\/p>\n<p style=\"text-align: justify;\">Discriminant is equal to 0.<\/p>\n<p style=\"text-align: justify;\">Therefore, two roots of equation are real and equal which means that it is possible to design a rectangular park of perimeter 80 metres and area <img decoding=\"async\" style=\"height: 22px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image046.png\" \/>.<\/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\/Ex4.4\/image010.png\" \/> to solve equation,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 45px; width: 154px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image055.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, both the roots are equal to 20.<\/p>\n<p style=\"text-align: justify;\">Therefore, length of rectangular park = 20 metres<\/p>\n<p style=\"text-align: justify;\">Breadth of rectangular park = <img decoding=\"async\" style=\"height: 42px; width: 121px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.4\/image056.png\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_10_Maths_Exercise_44\"><\/span>NCERT Solutions for Class 10 Maths Exercise 4.4<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 4.4 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 4.4\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/\" aria-label=\"More on NCERT Solutions for Class 10 Maths Exercise 4.4\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":30014,"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-4939","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 4.4 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 10 Maths Exercise 4.4 in PDF format for free download. NCERT Solutions Class 10 Mathematics\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 10 Maths Exercise 4.4 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"NCERT Solutions for Class 10 Maths Exercise 4.4 in PDF format for free download. NCERT Solutions Class 10 Mathematics\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/\" \/>\n<meta property=\"og:site_name\" content=\"myCBSEguide\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/mycbseguide\/\" \/>\n<meta property=\"article:published_time\" content=\"2016-05-19T04:19:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-03-22T09:49:32+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/;https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10_maths_ncert_solutions.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1\" \/>\n\t<meta property=\"og:image:height\" content=\"1\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"myCBSEguide\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@mycbseguide\" \/>\n<meta name=\"twitter:site\" content=\"@mycbseguide\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"myCBSEguide\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/\"},\"author\":{\"name\":\"myCBSEguide\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65\"},\"headline\":\"NCERT Solutions for Class 10 Maths Exercise 4.4\",\"datePublished\":\"2016-05-19T04:19:00+00:00\",\"dateModified\":\"2023-03-22T09:49:32+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/\"},\"wordCount\":883,\"commentCount\":15,\"publisher\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/;https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10_maths_ncert_solutions.jpg\",\"keywords\":[\"CBSE Class 10 Mathematics\",\"CBSE Study Material\",\"Class 10\",\"Mathematics\",\"maths\",\"NCERT Solutions\"],\"articleSection\":[\"Mathematics\",\"NCERT Solutions\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/\",\"url\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/\",\"name\":\"NCERT Solutions for Class 10 Maths Exercise 4.4 | myCBSEguide\",\"isPartOf\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/;https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10_maths_ncert_solutions.jpg\",\"datePublished\":\"2016-05-19T04:19:00+00:00\",\"dateModified\":\"2023-03-22T09:49:32+00:00\",\"description\":\"NCERT Solutions for Class 10 Maths Exercise 4.4 in PDF format for free download. NCERT Solutions Class 10 Mathematics\",\"breadcrumb\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#primaryimage\",\"url\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/;https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10_maths_ncert_solutions.jpg\",\"contentUrl\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/;https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10_maths_ncert_solutions.jpg\",\"caption\":\"NCERT Solutions for Class 10 Maths Exercise 4.4\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mycbseguide.com\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"NCERT Solutions\",\"item\":\"https:\/\/mycbseguide.com\/blog\/category\/ncert-solutions\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"NCERT Solutions for Class 10 Maths Exercise 4.4\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#website\",\"url\":\"https:\/\/mycbseguide.com\/blog\/\",\"name\":\"myCBSEguide\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mycbseguide.com\/blog\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\",\"name\":\"myCBSEguide\",\"url\":\"https:\/\/mycbseguide.com\/blog\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png\",\"contentUrl\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png\",\"width\":180,\"height\":180,\"caption\":\"myCBSEguide\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/mycbseguide\/\",\"https:\/\/x.com\/mycbseguide\",\"https:\/\/www.linkedin.com\/company\/mycbseguide\/\",\"http:\/\/in.pinterest.com\/mycbseguide\/\",\"https:\/\/www.youtube.com\/channel\/UCxuqSnnygFzwJG0pwogCNEQ\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65\",\"name\":\"myCBSEguide\",\"sameAs\":[\"http:\/\/mycbseguide.com\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"NCERT Solutions for Class 10 Maths Exercise 4.4 | myCBSEguide","description":"NCERT Solutions for Class 10 Maths Exercise 4.4 in PDF format for free download. NCERT Solutions Class 10 Mathematics","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions for Class 10 Maths Exercise 4.4 | myCBSEguide","og_description":"NCERT Solutions for Class 10 Maths Exercise 4.4 in PDF format for free download. NCERT Solutions Class 10 Mathematics","og_url":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/","og_site_name":"myCBSEguide","article_publisher":"https:\/\/www.facebook.com\/mycbseguide\/","article_published_time":"2016-05-19T04:19:00+00:00","article_modified_time":"2023-03-22T09:49:32+00:00","og_image":[{"url":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/;https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10_maths_ncert_solutions.jpg","width":1,"height":1,"type":"image\/jpeg"}],"author":"myCBSEguide","twitter_card":"summary_large_image","twitter_creator":"@mycbseguide","twitter_site":"@mycbseguide","twitter_misc":{"Written by":"myCBSEguide","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#article","isPartOf":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/"},"author":{"name":"myCBSEguide","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65"},"headline":"NCERT Solutions for Class 10 Maths Exercise 4.4","datePublished":"2016-05-19T04:19:00+00:00","dateModified":"2023-03-22T09:49:32+00:00","mainEntityOfPage":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/"},"wordCount":883,"commentCount":15,"publisher":{"@id":"https:\/\/mycbseguide.com\/blog\/#organization"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#primaryimage"},"thumbnailUrl":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/;https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10_maths_ncert_solutions.jpg","keywords":["CBSE Class 10 Mathematics","CBSE Study Material","Class 10","Mathematics","maths","NCERT Solutions"],"articleSection":["Mathematics","NCERT Solutions"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/","url":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/","name":"NCERT Solutions for Class 10 Maths Exercise 4.4 | myCBSEguide","isPartOf":{"@id":"https:\/\/mycbseguide.com\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#primaryimage"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#primaryimage"},"thumbnailUrl":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/;https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10_maths_ncert_solutions.jpg","datePublished":"2016-05-19T04:19:00+00:00","dateModified":"2023-03-22T09:49:32+00:00","description":"NCERT Solutions for Class 10 Maths Exercise 4.4 in PDF format for free download. NCERT Solutions Class 10 Mathematics","breadcrumb":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#primaryimage","url":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/;https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10_maths_ncert_solutions.jpg","contentUrl":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/;https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10_maths_ncert_solutions.jpg","caption":"NCERT Solutions for Class 10 Maths Exercise 4.4"},{"@type":"BreadcrumbList","@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-4\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mycbseguide.com\/blog\/"},{"@type":"ListItem","position":2,"name":"NCERT Solutions","item":"https:\/\/mycbseguide.com\/blog\/category\/ncert-solutions\/"},{"@type":"ListItem","position":3,"name":"NCERT Solutions for Class 10 Maths Exercise 4.4"}]},{"@type":"WebSite","@id":"https:\/\/mycbseguide.com\/blog\/#website","url":"https:\/\/mycbseguide.com\/blog\/","name":"myCBSEguide","description":"","publisher":{"@id":"https:\/\/mycbseguide.com\/blog\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mycbseguide.com\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/mycbseguide.com\/blog\/#organization","name":"myCBSEguide","url":"https:\/\/mycbseguide.com\/blog\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/","url":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png","contentUrl":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png","width":180,"height":180,"caption":"myCBSEguide"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/mycbseguide\/","https:\/\/x.com\/mycbseguide","https:\/\/www.linkedin.com\/company\/mycbseguide\/","http:\/\/in.pinterest.com\/mycbseguide\/","https:\/\/www.youtube.com\/channel\/UCxuqSnnygFzwJG0pwogCNEQ"]},{"@type":"Person","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65","name":"myCBSEguide","sameAs":["http:\/\/mycbseguide.com"]}]}},"_links":{"self":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/4939","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/comments?post=4939"}],"version-history":[{"count":4,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/4939\/revisions"}],"predecessor-version":[{"id":16215,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/4939\/revisions\/16215"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/media\/30014"}],"wp:attachment":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/media?parent=4939"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/categories?post=4939"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/tags?post=4939"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}