{"id":21939,"date":"2018-11-19T17:32:08","date_gmt":"2018-11-19T12:02:08","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=21939"},"modified":"2018-12-17T14:30:50","modified_gmt":"2018-12-17T09:00:50","slug":"cbse-question-paper-2013-class-12-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/","title":{"rendered":"CBSE Question Paper 2013 class 12 Mathematics"},"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\/cbse-question-paper-2013-class-12-mathematics\/#Class_12_Mathematics_list_of_chapters\" >Class 12 Mathematics list of chapters<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#CBSE_Question_Paper_2013_class_12_Mathematics\" >CBSE Question Paper 2013 class 12 Mathematics<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#General_Instruction\" >General Instruction:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#Section_A\" >Section A<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#Section_B\" >Section B<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#_OR\" >\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 OR<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#OR\" >OR<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#OR-2\" >OR<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#OR-3\" >OR<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#Sector_C\" >Sector C<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#OR-4\" >OR<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#OR-5\" >OR<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#Previous_Question_Paper_for_Class_12_Mathematics\" >Previous Question Paper for Class 12 Mathematics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/#Last_Year_Question_Paper_2013\" >Last Year Question Paper 2013<\/a><\/li><\/ul><\/nav><\/div>\n<p><strong>CBSE Question Paper 2013 class 12 Mathematics<\/strong>\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2013. CBSE previous year question papers with solution are available in myCBSEguide mobile app and cbse guide website. The Best CBSE App for students and teachers is myCBSEguide which provides complete study material and practice papers to cbse schools in India and abroad.<\/p>\n<p style=\"text-align: center;\"><strong>CBSE Question Paper 2013 class 12 Mathematics\u00a0<\/strong><\/p>\n<p style=\"text-align: center;\"><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-12-mathematics\/1284\/cbse-last-year-papers\/3\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/12%20Maths%20Book%20pic.jpg\" alt=\"CBSE Question Paper 2013 class 12 Mathematics\" width=\"118\" height=\"154\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Class_12_Mathematics_list_of_chapters\"><\/span>Class 12 Mathematics list of chapters<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>Relations and Functions<\/li>\n<li>Inverse Trigonometric Functions<\/li>\n<li>\u00a0Matrices<\/li>\n<li>Determinants<\/li>\n<li>Continuity and Differentiability<\/li>\n<li>Application of Derivatives<\/li>\n<li>Integrals<\/li>\n<li>Application of Integrals<\/li>\n<li>Differential Equations<\/li>\n<li>Vector Algebra<\/li>\n<li>Three Dimensional Geometry<\/li>\n<li>Linear Programming<\/li>\n<li>Probability<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Question_Paper_2013_class_12_Mathematics\"><\/span>CBSE Question Paper 2013 class 12 Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"General_Instruction\"><\/span><strong>General Instruction:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div>\n<div>\n<ul>\n<li>All question are compulsory.<\/li>\n<li>The question paper consists of 29 questions divided into three sections A, B and C. Section A comprises of 10 questions of one mark each, Section B comprises of 12 questions of four marks each and Section C comprises of 7 questions of six marks each.<\/li>\n<li>All questions in Section A are to be answered in one words, one sentence or as per the exact requirement of the questions.<\/li>\n<li>There is no overall choice. However, internal choice has been provided in 4 questions of four marks each and 2 questions of six marks each. You have to attempt only one of the alternatives in all such questions.<\/li>\n<li>Use of calculators is not permitted. You may ask for logarithmic tables, if required.<\/li>\n<\/ul>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Section_A\"><\/span><strong>Section A<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>1. Write the differential equation representing the family of curves y = mx, where m is an arbitrary constant.<\/p>\n<p>2. If A<sub>ij<\/sub> is the cofactor of the element a<sub>ij <\/sub>of the determinant <img decoding=\"async\" style=\"height: 75px; width: 87px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image001.png\" \/>\u00a0then write the value of a<sub>32<\/sub>.A<sub>32<\/sub>.<\/p>\n<p>3. Write the value of <img decoding=\"async\" style=\"height: 55px; width: 166px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image002.png\" \/><strong>.<\/strong><\/p>\n<p>4. For what value of x, is the matrix <img decoding=\"async\" style=\"height: 75px; width: 124px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image003.png\" \/>\u00a0a skew-symmetric matrix ?<\/p>\n<p>5. Write the principal value of <img decoding=\"async\" style=\"height: 25px; width: 155px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image004.png\" \/><\/p>\n<p>6. The money to be spent for the welfare of the employees of a firm is proportional to the rate of change of its total revenue (marginal revenue). If the total revenue (in rupees) received from the sale of x units of a product is given by R(x) = 3x<sup>2<\/sup> + 36x + 5, find the marginal revenue, when x = 5, and write which value does the question indicate.<\/p>\n<p>7. Find the length of the perpendicular drawn from the origin to the plane 2x \u2013 3y + 6z + 21 = 0.<\/p>\n<p>8. Find <img decoding=\"async\" style=\"height: 33px; width: 18px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image005.png\" \/>, if for a unit vector <img decoding=\"async\" style=\"height: 25px; width: 140px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image006.png\" \/><\/p>\n<p>9. If matrix <img decoding=\"async\" style=\"height: 49px; width: 95px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image007.png\" \/>\u00a0and A<sup>2<\/sup> = pA, then write the value of p.<\/p>\n<p>10. A and B are two points with position vectors <img decoding=\"async\" style=\"height: 23px; width: 51px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image008.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 23px; width: 43px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image009.png\" \/>\u00a0respectively. Write the position vector of a point P which divides the line segment AB internally in the ratio 1:2.<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Section_B\"><\/span><strong>Section B<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>11. Differentiate the following with respect to x:<\/p>\n<p><img decoding=\"async\" style=\"height: 51px; width: 108px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image010.png\" \/><\/p>\n<p>12. Evaluate:<\/p>\n<p><img decoding=\"async\" style=\"height: 42px; width: 129px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image011.png\" \/><\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"_OR\"><\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <strong>OR<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Evaluate:<\/p>\n<p><img decoding=\"async\" style=\"height: 45px; width: 113px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image012.png\" \/><\/p>\n<p>13. Using properties of determinants, prove the following:<\/p>\n<p><img decoding=\"async\" style=\"height: 75px; width: 243px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image013.png\" \/><\/p>\n<p>14. Show that:<\/p>\n<p><img decoding=\"async\" style=\"height: 49px; width: 158px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image014.png\" \/><\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"OR\"><\/span><strong>OR<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Solve the following equation:<\/p>\n<p><img decoding=\"async\" style=\"height: 45px; width: 178px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image015.png\" \/><\/p>\n<p>15. Consider <img decoding=\"async\" style=\"height: 24px; width: 100px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image016.png\" \/>\u00a0given by f(x) = x<sup>2<\/sup> + 4. Show that f is invertible with the inverse f<sup>-1<\/sup> of f given by <img decoding=\"async\" style=\"height: 26px; width: 111px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image017.png\" \/>where R<sub>+<\/sub> is the set all non-negative real numbers.<\/p>\n<p>16. Find the value of k, for which<\/p>\n<p>f(x)=<img decoding=\"async\" style=\"height: 92px; width: 221px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image018.png\" \/><\/p>\n<p>is continuous at x = 0.<\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"OR-2\"><\/span><strong>OR<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>If <img decoding=\"async\" style=\"height: 21px; width: 79px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image019.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 24px; width: 83px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image020.png\" \/>\u00a0then find the value of <img decoding=\"async\" style=\"height: 44px; width: 33px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image021.png\" \/>\u00a0at <img decoding=\"async\" style=\"height: 42px; width: 46px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image022.png\" \/><\/p>\n<p>17. Show that the lines<\/p>\n<p><img decoding=\"async\" style=\"height: 25px; width: 210px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image023.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 25px; width: 184px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image024.png\" \/><\/p>\n<p>are intersecting. Hence find their point of intersection.<\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"OR-3\"><\/span><strong>OR<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Find the vector equation of the plane through the point (2, 1, -1) and (-1, 3, 4) and perpendicular to the plane x \u2013 2y + 4z = 10.<\/p>\n<p>18. The probabilities of two students A and B coming to the school in time are <img decoding=\"async\" style=\"height: 42px; width: 16px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image025.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 42px; width: 16px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image026.png\" \/>\u00a0respectively. Assuming that the events, \u2018A coming in time\u2019 and \u2018B coming in time\u2019 are independent, find the probability of only one of them coming to the school in time.<\/p>\n<p>Write at least one advantage of coming to school in time.<\/p>\n<p>19. If <img decoding=\"async\" style=\"height: 24px; width: 66px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image027.png\" \/>\u00a0prove that <img decoding=\"async\" style=\"height: 44px; width: 113px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image028.png\" \/><\/p>\n<p>20. Evaluate:<\/p>\n<p><img decoding=\"async\" style=\"height: 44px; width: 71px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image029.png\" \/><\/p>\n<p>21. Evaluate:<\/p>\n<p><img decoding=\"async\" style=\"height: 50px; width: 89px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image030.png\" \/><\/p>\n<p>22. If <img decoding=\"async\" style=\"height: 25px; width: 107px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image031.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 25px; width: 99px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image032.png\" \/>\u00a0then find the value of <img decoding=\"async\" style=\"height: 21px; width: 18px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image033.png\" \/>so that <img decoding=\"async\" style=\"height: 25px; width: 38px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image034.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 25px; width: 37px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image035.png\" \/>\u00a0are perpendicular vectors.<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Sector_C\"><\/span><strong>Sector C<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>23. Find the equation of the plane passing through the line of intersection of the planes<img decoding=\"async\" style=\"height: 25px; width: 117px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image036.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 25px; width: 121px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image037.png\" \/>\u00a0whose perpendicular distance from origin is unity.<\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"OR-4\"><\/span><strong>OR<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Find the vector equation of the line passing through the point (1, 2, 3) and parallel to the planes <img decoding=\"async\" style=\"height: 25px; width: 110px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image038.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 25px; width: 112px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image039.png\" \/><\/p>\n<p>24. In a hockey match, both teams A and B scored same number of goals up to the end of the game, so to the game, so to decide the winner, the referee asked both the captain to throw a die alternately and decided that the team, whose captain gets a six first, will be declared the winner. If the captain\u00a0of team A was asked to start, find their respective probabilities of winning the match and state whether the decision of the referee was fair or not.<\/p>\n<p>25. A manufacturer considers that men and women workers are equally efficient and so he pays them at the same rate. He has 30 and 17 units of workers (male and female) and capital respectively, which he uses to produce two types of goods A and B. To produce one unit of A, 2 workers and 3 units of capital are required while 3 workers and 1 unit of capital is required to produce one unit of B. If A and B are priced at Rs 100 and Rs 120 per unit respectively, how should he use his resources to maximize the total revenue? Form the above as an LPP and solve graphically.<\/p>\n<p>Do you agree with this view of the manufacturer that men and women workers are equally efficient and so should be paid at the same rate?<\/p>\n<p>26. Find the area of the greatest rectangle that can be inscribed in an ellipse <img decoding=\"async\" style=\"height: 44px; width: 81px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image040.png\" \/><\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"OR-5\"><\/span><strong>OR<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Find the equations of tangents to the curve 3x<sup>2<\/sup> \u2013 y<sup>2<\/sup> = 8, which pass through the point<\/p>\n<p>27. The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping other and some others (say z) for supervising the works to keep the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. If the sum of the number of awardees for honesty and supervision is twice the number of awardees for helping others, using matrix method, find the number of each category. Apart from these values, namely, honesty cooperation and supervision, suggest one more value which the management of the colony must include for awards.<\/p>\n<p>28. Find the area of the region <img decoding=\"async\" style=\"height: 24px; width: 111px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image042.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 24px; width: 102px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image043.png\" \/>\u00a0using method of integration.<\/p>\n<p>29. Show that the differential equation is homogeneous. Find the particular solution of this differential equation, given that <img decoding=\"async\" style=\"height: 42px; width: 43px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set8\/image045.png\" \/>\u00a0when x = 1.<\/p>\n<\/div>\n<p style=\"text-align: center;\"><strong>These are questions only. To view and download complete question paper with solution install myCBSEguide App from google play store or login to our\u00a0<a href=\"https:\/\/mycbseguide.com\/dashboard\/\">student dashboard<\/a>.<\/strong><\/p>\n<p style=\"text-align: center;\"><b><strong><a class=\"button\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\">Download myCBSEguide App<\/a><\/strong><\/b><\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Previous_Question_Paper_for_Class_12_Mathematics\"><\/span>Previous Question Paper for Class 12 Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Download class 12 Mathematics question paper with solution from best CBSE App the myCBSEguide. CBSE class 12 Mathematics question paper 2018 in PDF format with solution will help you to understand the latest question paper pattern and marking scheme of the CBSE board examination. You will get to know the difficulty level of the question paper. CBSE question papers 2013 for class 12 Mathematics have 29 questions with solution.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Last_Year_Question_Paper_2013\"><\/span>Last Year Question Paper 2013<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>CBSE question papers 2018, 2017, 2016, 2015, 2014, 2013, 2012, 2011, 2010, 209, 2008, 2007, 2006, 2005 and so on for all the subjects are available under this download link. Practicing real question paper certainly helps students to get confidence and improve performance in weak areas.<\/p>\n<ul>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-physics\/1251\/cbse-last-year-papers\/3\/\">Physics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-chemistry\/1267\/cbse-last-year-papers\/3\/\">Chemistry<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-mathematics\/1284\/cbse-last-year-papers\/3\/\">Mathematics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-biology\/1298\/cbse-last-year-papers\/3\/\">Biology<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-accountancy\/1315\/cbse-last-year-papers\/3\/\">Accountancy<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-business-studies\/1727\/cbse-last-year-papers\/3\/\">Business Studies<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-economics\/1327\/cbse-last-year-papers\/3\/\">Economics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-history\/1869\/cbse-last-year-papers\/3\/\">History<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-geography\/1863\/cbse-last-year-papers\/3\/\">Geography<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-political-science\/1879\/cbse-last-year-papers\/3\/\">Political Science<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-physical-education\/1877\/cbse-last-year-papers\/3\/\">Physical Education<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-computer-science\/1851\/cbse-last-year-papers\/3\/\">Computer Science<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-informatics-practices\/1873\/cbse-last-year-papers\/3\/\">Informatics Practices<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-english-core\/1855\/cbse-last-year-papers\/3\/\">English Core<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-hindi-core\/1865\/cbse-last-year-papers\/3\/\">Hindi Core<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-hindi-elective\/1867\/cbse-last-year-papers\/3\/\">Hindi Elective<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12\/1250\/\">Other Subjects<\/a><\/li>\n<\/ul>\n<p>To download CBSE Question Paper 2013 class 12 Accountancy, Chemistry, Physics, History, Political Science, Economics, Geography, Computer Science, Home Science, Accountancy, Business Studies and Home 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>CBSE Question Paper 2013 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2013. CBSE previous year question papers with solution are available in myCBSEguide mobile app and cbse guide website. The Best CBSE App for students and teachers is myCBSEguide which provides complete study material and practice &#8230; <a title=\"CBSE Question Paper 2013 class 12 Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2013-class-12-mathematics\/\" aria-label=\"More on CBSE Question Paper 2013 class 12 Mathematics\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1346,1014,1432],"tags":[1527,1342,80,1485,1562],"class_list":["post-21939","post","type-post","status-publish","format-standard","hentry","category-cbse","category-cbse-question-papers","category-mathematics-cbse-class-12","tag-cbse-question-paper","tag-class-12","tag-last-year-papers","tag-maths","tag-previous-question-paper-physics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - 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