{"id":4923,"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-4-1\/"},"modified":"2023-03-22T15:18:31","modified_gmt":"2023-03-22T09:48:31","slug":"ncert-solutions-class-10-maths-exercise-4-1","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-1\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Exercise 4.1"},"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-4-1\/#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-4-1\/#1_Check_whether_the_following_are_Quadratic_Equations\" >1. Check whether the following are Quadratic Equations.<\/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-4-1\/#2_Represent_the_following_situations_in_the_form_of_Quadratic_Equations\" >2. Represent the following situations in the form of Quadratic Equations:<\/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-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-1\/#NCERT_Solutions_for_Class_10_Maths_Exercise_41\" >NCERT Solutions for Class 10 Maths Exercise 4.1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-1\/#CBSE_app_for_Class_10\" >CBSE app for Class 10<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 10 Maths Exercise 4.1 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 4.1\" 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_Check_whether_the_following_are_Quadratic_Equations\"><\/span><strong>1. Check whether the following are Quadratic Equations.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i) <img decoding=\"async\" style=\"height: 29px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image001.png\" \/>= 2 (<em>x <\/em>\u2212 3)<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) <img decoding=\"async\" style=\"height: 22px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image002.png\" \/>= (\u22122) (3 \u2212 <em>x<\/em>)<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii) (<em>x <\/em>\u2212 2) (<em>x <\/em>+ 1) = (<em>x <\/em>\u2212 1) (<em>x <\/em>+ 3)<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iv) (<em>x <\/em>\u2212 3) (2<em>x <\/em>+ 1) = <em>x <\/em>(<em>x <\/em>+ 5)<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(v) (2<em>x <\/em>\u2212 1) (<em>x <\/em>\u2212 3) = (<em>x <\/em>+ 5) (<em>x <\/em>\u2212 1)<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(vi) <img decoding=\"async\" style=\"height: 29px; width: 145px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image003.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(vii) <img decoding=\"async\" style=\"height: 31px; width: 152px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image004.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(viii) <img decoding=\"async\" style=\"height: 29px; width: 192px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image005.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> <img decoding=\"async\" style=\"height: 29px; width: 54px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image006.png\" \/>= 2 (<em>x <\/em>\u2212 3)<\/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\/Ex4.1\/image007.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image008.png\" \/>= 2<em>x <\/em>\u2013 6<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image009.png\" \/>= 0<\/p>\n<p style=\"text-align: justify;\">Here, degree of equation is 2.<\/p>\n<p style=\"text-align: justify;\">Therefore, it is a Quadratic Equation.<\/p>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.1<\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> <img decoding=\"async\" style=\"height: 22px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image010.png\" \/>= (\u22122) (3 \u2212 <em>x<\/em>)<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image010.png\" \/>= \u22126 + 2<em>x <\/em><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image010.png\" \/>\u2212 2<em>x <\/em>+ 6 = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 82px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image011.png\" \/>= 0<\/p>\n<p style=\"text-align: justify;\">Here, degree of equation is 2.<\/p>\n<p style=\"text-align: justify;\">Therefore, it is a Quadratic Equation.<\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<\/strong> (<em>x <\/em>\u2212 2) (<em>x <\/em>+ 1) = (<em>x <\/em>\u2212 1) (<em>x <\/em>+ 3)<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 105px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image012.png\" \/>= <img decoding=\"async\" style=\"height: 22px; width: 139px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image013.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 221px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image014.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x <\/em>\u2212 2<em>x <\/em>\u2013 2 \u2212 3<em>x <\/em>+ <em>x <\/em>+ 3 = 0<\/p>\n<p style=\"text-align: justify;\">\u21d2 \u22123<em>x <\/em>+ 1 = 0<\/p>\n<p style=\"text-align: justify;\">Here, degree of equation is 1.<\/p>\n<p style=\"text-align: justify;\">Therefore, it is not a Quadratic Equation.<\/p>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.1<\/p>\n<p style=\"text-align: justify;\"><strong>(iv)<\/strong> (<em>x <\/em>\u2212 3) (2<em>x <\/em>+ 1) = <em>x <\/em>(<em>x <\/em>+ 5)<\/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\/Ex4.1\/image015.png\" \/>= <img decoding=\"async\" style=\"height: 22px; width: 54px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image016.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 186px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image017.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 88px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image018.png\" \/>= 0<\/p>\n<p style=\"text-align: justify;\">Here, degree of equation is 2.<\/p>\n<p style=\"text-align: justify;\">Therefore, it is a quadratic equation.<\/p>\n<p style=\"text-align: justify;\"><strong>(v)<\/strong> (2<em>x <\/em>\u2212 1) (<em>x <\/em>\u2212 3) = (<em>x <\/em>+ 5) (<em>x <\/em>\u2212 1)<\/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\/Ex4.1\/image019.png\" \/>= <img decoding=\"async\" style=\"height: 22px; width: 104px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image020.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 206px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image021.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <em>x<\/em><sup>2 <\/sup>\u2212 11<em>x <\/em>+ 8 = 0<\/p>\n<p style=\"text-align: justify;\">Here, degree of Equation is 2.<\/p>\n<p style=\"text-align: justify;\">Therefore, it is a Quadratic Equation.<\/p>\n<p style=\"text-align: justify;\"><strong>(vi)<img decoding=\"async\" style=\"height: 29px; width: 156px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image022.png\" \/><\/strong><\/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\/Ex4.1\/image023.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image024.png\" \/>= <img decoding=\"async\" style=\"height: 22px; width: 88px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image025.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 212px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image026.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 7<em>x <\/em>\u2013 3 = 0<\/p>\n<p style=\"text-align: justify;\">Here, degree of equation is 1.<\/p>\n<p style=\"text-align: justify;\">Therefore, it is not a Quadratic Equation.<\/p>\n<p style=\"text-align: justify;\"><strong>(vii)<img decoding=\"async\" style=\"height: 31px; width: 150px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image027.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 34px; width: 214px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image028.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 26px; width: 193px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image029.png\" \/>= <img decoding=\"async\" style=\"height: 29px; width: 74px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image030.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 26px; width: 138px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image031.png\" \/>= <img decoding=\"async\" style=\"height: 22px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image032.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 237px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image033.png\" \/><\/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\/Ex4.1\/image034.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, degree of Equation is 3.<\/p>\n<p style=\"text-align: justify;\">Therefore, it is not a quadratic Equation.<\/p>\n<p style=\"text-align: justify;\"><strong>(viii)<img decoding=\"async\" style=\"height: 29px; width: 189px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image035.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 34px; width: 212px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image036.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\/Ex4.1\/image037.png\" \/>= <img decoding=\"async\" style=\"height: 22px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image038.png\" \/>(<em>x<\/em>) (2) (<em>x <\/em>\u2212 2)<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image039.png\" \/>= <img decoding=\"async\" style=\"height: 22px; width: 110px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image040.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 97px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image041.png\" \/>= 0<\/p>\n<p style=\"text-align: justify;\">Here, degree of Equation is 2.<\/p>\n<p style=\"text-align: justify;\">Therefore, it is a Quadratic Equation.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 4.1<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2_Represent_the_following_situations_in_the_form_of_Quadratic_Equations\"><\/span><strong>2. Represent the following situations in the form of Quadratic Equations:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i) The area of rectangular plot is<img decoding=\"async\" style=\"height: 22px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image042.png\" \/>. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) The product of two consecutive numbers is 306. We need to find the integers.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii) Rohan&#8217;s mother is 26 years older than him. The product of their ages (in years) after 3 years will be 360. We would like to find Rohan&#8217;s present age.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iv) A train travels a distance of 480 km at uniform speed. If, the speed had been 8km\/h less, then it would have taken 3 hours more to cover the same distance. We need to find speed of the train.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> We are given that area of a rectangular plot is<img decoding=\"async\" style=\"height: 22px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image043.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">Let breadth of rectangular plot be x metres<\/p>\n<p style=\"text-align: justify;\">Length is one more than twice its breadth.<\/p>\n<p style=\"text-align: justify;\">Therefore, length of rectangular plot is (2<em>x <\/em>+ 1) metres<\/p>\n<p style=\"text-align: justify;\">Area of rectangle = length \u00d7 breadth<\/p>\n<p style=\"text-align: justify;\">\u21d2 528 = <em>x <\/em>(2<em>x <\/em>+ 1)<\/p>\n<p style=\"text-align: justify;\">\u21d2 528 = <img decoding=\"async\" style=\"height: 22px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image044.png\" \/><\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image044.png\" \/>\u2013 528 = 0<\/p>\n<p style=\"text-align: justify;\">This is a Quadratic Equation.<\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> Let two consecutive numbers be x and (x + 1).<\/p>\n<p style=\"text-align: justify;\">It is given that <em>x <\/em>(<em>x <\/em>+ 1) = 306<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 43px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image045.png\" \/>= 306<\/p>\n<p style=\"text-align: justify;\">\u21d2<img decoding=\"async\" style=\"height: 22px; width: 43px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image045.png\" \/>\u2013 306 = 0<\/p>\n<p style=\"text-align: justify;\">This is a Quadratic Equation.<\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<\/strong> Let present age of Rohan = x years<\/p>\n<p style=\"text-align: justify;\">Let present age of Rohan&#8217;s mother = (x + 26) years<\/p>\n<p style=\"text-align: justify;\">Age of Rohan after 3 years = (x + 3) years<\/p>\n<p style=\"text-align: justify;\">Age of Rohan&#8217;s mother after 3 years = x + 26 + 3 = (x + 29) years<\/p>\n<p style=\"text-align: justify;\">According to given condition:<\/p>\n<p style=\"text-align: justify;\">(<em>x <\/em>+ 3) (<em>x <\/em>+ 29) = 360<\/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\/Ex4.1\/image046.png\" \/>= 360<\/p>\n<p style=\"text-align: justify;\">\u21d2 <img decoding=\"async\" style=\"height: 22px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image047.png\" \/>= 0<\/p>\n<p style=\"text-align: justify;\">This is a Quadratic Equation.<\/p>\n<p style=\"text-align: justify;\"><strong>(iv)<\/strong> Let speed of train be x km\/h<\/p>\n<p style=\"text-align: justify;\">Time taken by train to cover 480 km = 480<em>x<\/em> hours<\/p>\n<p style=\"text-align: justify;\">If, speed had been 8km\/h less then time taken would be (480<em>x<\/em>\u22128) hours<\/p>\n<p style=\"text-align: justify;\">According to given condition, if speed had been 8km\/h less then time taken is 3 hours less.<\/p>\n<p style=\"text-align: justify;\">Therefore, 480<em>x <\/em>\u2013 8 = 480<em>x <\/em>+ 3<\/p>\n<p style=\"text-align: justify;\">\u21d2 480 (1<em>x <\/em>\u2013 8 \u2212 1<em>x<\/em>) = 3<\/p>\n<p style=\"text-align: justify;\">\u21d2 480 (<em>x <\/em>\u2013 <em>x <\/em>+ 8) (<em>x) <\/em>(<em>x <\/em>\u2212 8) = 3<\/p>\n<p style=\"text-align: justify;\">\u21d2 480 \u00d7 8 = 3 (<em>x<\/em>) (<em>x <\/em>\u2212 8)<\/p>\n<p style=\"text-align: justify;\">\u21d2 3840 = <img decoding=\"async\" style=\"height: 22px; width: 71px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch04\/Ex4.1\/image048.png\" \/><\/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\/Ex4.1\/image049.png\" \/>= 0<\/p>\n<p style=\"text-align: justify;\">Dividing equation by 3, we get<\/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\/Ex4.1\/image050.png\" \/>= 0<\/p>\n<p style=\"text-align: justify;\">This is a Quadratic Equation.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_10_Maths_Exercise_41\"><\/span>NCERT Solutions for Class 10 Maths Exercise 4.1<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 4.1 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 4.1\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-4-1\/\" aria-label=\"More on NCERT Solutions for Class 10 Maths Exercise 4.1\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":30007,"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-4923","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 4.1 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 10 Maths Exercise 4.1 in PDF format for free download. 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