{"id":21947,"date":"2018-11-20T14:28:54","date_gmt":"2018-11-20T08:58:54","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=21947"},"modified":"2018-12-17T14:30:18","modified_gmt":"2018-12-17T09:00:18","slug":"cbse-question-paper-2012-class-12-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/","title":{"rendered":"CBSE Question Paper 2012 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-2012-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-2012-class-12-mathematics\/#CBSE_Question_Paper_2012_class_12_Mathematics\" >CBSE Question Paper 2012 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-2012-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-2012-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-2012-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-2012-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-7\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-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-8\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-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-9\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#Section_-C\" >Section -C<\/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-2012-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-11\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-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-12\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-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-13\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#Last_Year_Question_Paper_2012\" >Last Year Question Paper 2012<\/a><\/li><\/ul><\/nav><\/div>\n<p><strong>CBSE Question Paper 2012 class 12 Mathematics<\/strong>\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2012. 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 2012 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 2012 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>Matrices<\/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_2012_class_12_Mathematics\"><\/span>CBSE Question Paper 2012 class 12 Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"text-align: left;\">\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 section 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 question in Section A are to be answered in one word, 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.<strong>\u00a0<\/strong><\/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. If a line has direction ratios 2, -1, -2, then what are its direction cosines ?<\/p>\n<p>2. Find <img decoding=\"async\" style=\"height: 19px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image001.png\" \/>\u00a0when the projection of <img decoding=\"async\" style=\"height: 25px; width: 99px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image002.png\" \/>\u00a0on <img decoding=\"async\" style=\"height: 25px; width: 104px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image003.png\" \/>\u00a0is 4 units.<\/p>\n<p>3. Find the sum of vectors <img decoding=\"async\" style=\"height: 25px; width: 204px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image004.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 25px; width: 96px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image005.png\" \/>.<\/p>\n<p>4. Evaluate: <img decoding=\"async\" style=\"height: 48px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image006.png\" \/><\/p>\n<p>5. Evaluate <img decoding=\"async\" style=\"height: 29px; width: 90px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image007.png\" \/><\/p>\n<p>6. If <img decoding=\"async\" style=\"height: 75px; width: 89px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image008.png\" \/>\u00a0write the minor of the element a<sub>23<\/sub>.<\/p>\n<p>7. If<img decoding=\"async\" style=\"height: 48px; width: 195px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image009.png\" \/>\u00a0write the value of x.<\/p>\n<p>8. Simplify: <img decoding=\"async\" style=\"height: 48px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image010.png\" \/><img decoding=\"async\" style=\"height: 48px; width: 153px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image011.png\" \/><\/p>\n<p>9. Write the principal value of <img decoding=\"async\" style=\"height: 45px; width: 159px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image012.png\" \/>.<\/p>\n<p>10.\u00a0 Let <img decoding=\"async\" style=\"height: 15px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image013.png\" \/>\u00a0be a \u2018binary\u2019 operation on N given a<img decoding=\"async\" style=\"height: 15px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image013.png\" \/>\u00a0b = LCM (a, b) for all <img decoding=\"async\" style=\"height: 21px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image014.png\" \/>\u00a0Find 5<img decoding=\"async\" style=\"height: 15px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image013.png\" \/>\u00a07.<\/p>\n<p>&nbsp;<\/p>\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.\u00a0 If <img decoding=\"async\" style=\"height: 25px; width: 124px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image015.png\" \/>\u00a0find <img decoding=\"async\" style=\"height: 44px; width: 111px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image016.png\" \/>.<\/p>\n<p style=\"text-align: center;\"><strong>OR<\/strong><\/p>\n<p><strong>\u00a0 <\/strong>If sin y = x sin(a + y), prove that <img decoding=\"async\" style=\"height: 44px; width: 115px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image017.png\" \/><\/p>\n<p>12.\u00a0 How many times must a man toss a fair coin, so that the probability of having at least one head is more than 80%?<\/p>\n<p>13.\u00a0 Find the vector and cartesian equations of the line passing through the point (1, 2, -4) and perpendicular to the two lines <img decoding=\"async\" style=\"height: 41px; width: 148px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image018.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 41px; width: 160px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image019.png\" \/><\/p>\n<p>14.\u00a0 If <img decoding=\"async\" style=\"height: 25px; width: 40px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image020.png\" \/>\u00a0are three vectors such that <img decoding=\"async\" style=\"height: 32px; width: 90px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image021.png\" \/>\u00a0and<img decoding=\"async\" style=\"height: 32px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image022.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 25px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image023.png\" \/>\u00a0find the value of <img decoding=\"async\" style=\"height: 23px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image024.png\" \/><\/p>\n<p>15.\u00a0 Solve the following differential equation:<\/p>\n<p><img decoding=\"async\" style=\"height: 41px; width: 144px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image025.png\" \/><\/p>\n<p>16.\u00a0 Find the particular solution of the following differential equations;<\/p>\n<p><img decoding=\"async\" style=\"height: 41px; width: 152px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image026.png\" \/>\u00a0given that y=1 when x = 0.<\/p>\n<p>17.\u00a0 Evaluate: <img decoding=\"async\" style=\"height: 29px; width: 140px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image027.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>Evaluate: <img decoding=\"async\" style=\"height: 44px; width: 115px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image028.png\" \/><\/p>\n<p>18.\u00a0 Find the point on the curve y = x<sup>3<\/sup> \u2013 11x + 5 at which the equation of tangent is y = x \u2013 11.<\/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>Using differentials, find the approximate value of <img decoding=\"async\" style=\"height: 25px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image029.png\" \/><\/p>\n<p>19.\u00a0 If <img decoding=\"async\" style=\"height: 25px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image030.png\" \/>\u00a0show that<\/p>\n<p><img decoding=\"async\" style=\"height: 44px; width: 211px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image031.png\" \/><\/p>\n<p>20.\u00a0 Using properties of determinants, prove that<\/p>\n<p><img decoding=\"async\" style=\"height: 75px; width: 136px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image032.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 75px; width: 90px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image033.png\" \/><\/p>\n<p>21.\u00a0 prove that <img decoding=\"async\" style=\"height: 45px; width: 232px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image034.png\" \/><\/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>Prove that <img decoding=\"async\" style=\"height: 45px; width: 229px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image035.png\" \/><\/p>\n<p>22.\u00a0 Let A = R \u2013 {3} and B = R \u2013 {1}. Consider the function <img decoding=\"async\" style=\"height: 21px; width: 69px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image036.png\" \/>\u00a0defined by <img decoding=\"async\" style=\"height: 45px; width: 104px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image037.png\" \/>\u00a0\u00a0Show that f is one-one and onto and hence find f<sup>-1<\/sup>.<\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Section_-C\"><\/span><strong>Section -C<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>23.\u00a0 Find the equation of the plane determined by the points A(3, -1, 2), B(5, 2, 4) and C(-1, -1, 6) and hence find the distance between the plane and the point P(6, 5, 9).<\/p>\n<p>24.\u00a0 Of the students in a college, it known that 60% reside in hostel and 40% are day scholars (not residing in hostel). Previous year results report that 30% of all students who reside in hostel attain \u2018A\u2019 grade and 20% of day scholars attain \u2018A\u2019 grade in their annual examination. At the end of the year, one student is chosen at random from the college and he has an \u2018A\u2019 grade, what is the probability that the students is a hostlier?<\/p>\n<p>25.\u00a0 A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts. He earns a profit of Rs.17.50 per package onnuts and Rs.7 per package of bots. How many packages of each should be produced each day so as to maximize his profits if he operates his machines for at the most 12 hours a day? Form the above as a linear programming problem and solve it graphically.<\/p>\n<p>26.\u00a0 prove that <img decoding=\"async\" style=\"height: 49px; width: 195px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image038.png\" \/><\/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>Evaluate <img decoding=\"async\" style=\"height: 48px; width: 95px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image039.png\" \/>\u00a0as a limit of a sum.<\/p>\n<p>27.\u00a0 Using the method of integration, find the area of the region bounded by the lines<\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 99px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image040.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 21px; width: 105px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image041.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 21px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image042.png\" \/><\/p>\n<p>28.\u00a0 Show that the height of a closed right circular cylinder of given surface and maximum volume, is equal to the diameter of its base.<\/p>\n<p>29.\u00a0 using matrices, solve the following system of linear equations:<\/p>\n<p>X \u2013 y + 2z = 7<\/p>\n<p>3x + 4y \u2013 5z = -5<\/p>\n<p>2x \u2013 y + 3z = 12<\/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>Using elementary operations, find the inverse of the following matrix:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"height: 75px; width: 83px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2012\/set5_S\/image043.png\" alt=\"CBSE Question Paper 2012 class 12 Mathematics\" width=\"83\" height=\"75\" \/><\/p>\n<\/div>\n<p><!-- The polyfills js is generated during the build process --><!-- The vendor js is generated during the build process It contains all of the dependencies in node_modules --><!-- The main bundle js is generated during the build process --><\/p>\n<div>\n<div style=\"text-align: left;\">\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<\/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 2012 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 2012 for class 12 Mathematics have 28 questions with solution.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Last_Year_Question_Paper_2012\"><\/span>Last Year Question Paper 2012<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 2012 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 2012 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2012. 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 2012 class 12 Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/\" aria-label=\"More on CBSE Question Paper 2012 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":[1527,1342,80,1485,1566],"class_list":["post-21947","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"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>CBSE Question Paper 2012 class 12 Mathematics<\/title>\n<meta name=\"description\" content=\"CBSE Question Paper 2012 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2012.\" \/>\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\/cbse-question-paper-2012-class-12-mathematics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"CBSE Question Paper 2012 class 12 Mathematics\" \/>\n<meta property=\"og:description\" content=\"CBSE Question Paper 2012 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2012.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/\" \/>\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=\"2018-11-20T08:58:54+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2018-12-17T09:00:18+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/12%20Maths%20Book%20pic.jpg\" \/>\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=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/\"},\"author\":{\"name\":\"myCBSEguide\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/f67796d5f5c5a468e8c680aaaad21519\"},\"headline\":\"CBSE Question Paper 2012 class 12 Mathematics\",\"datePublished\":\"2018-11-20T08:58:54+00:00\",\"dateModified\":\"2018-12-17T09:00:18+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/\"},\"wordCount\":969,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/12%20Maths%20Book%20pic.jpg\",\"keywords\":[\"CBSE Question Paper\",\"class 12\",\"Last Year Papers\",\"maths\",\"previous question paper\"],\"articleSection\":[\"CBSE\",\"CBSE Question Papers\",\"Mathematics\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/\",\"url\":\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/\",\"name\":\"CBSE Question Paper 2012 class 12 Mathematics\",\"isPartOf\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/12%20Maths%20Book%20pic.jpg\",\"datePublished\":\"2018-11-20T08:58:54+00:00\",\"dateModified\":\"2018-12-17T09:00:18+00:00\",\"description\":\"CBSE Question Paper 2012 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2012.\",\"breadcrumb\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#primaryimage\",\"url\":\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/12%20Maths%20Book%20pic.jpg\",\"contentUrl\":\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/12%20Maths%20Book%20pic.jpg\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mycbseguide.com\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"CBSE Question Papers\",\"item\":\"https:\/\/mycbseguide.com\/blog\/category\/cbse-question-papers\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"CBSE Question Paper 2012 class 12 Mathematics\"}]},{\"@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\/f67796d5f5c5a468e8c680aaaad21519\",\"name\":\"myCBSEguide\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"CBSE Question Paper 2012 class 12 Mathematics","description":"CBSE Question Paper 2012 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2012.","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\/cbse-question-paper-2012-class-12-mathematics\/","og_locale":"en_US","og_type":"article","og_title":"CBSE Question Paper 2012 class 12 Mathematics","og_description":"CBSE Question Paper 2012 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2012.","og_url":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/","og_site_name":"myCBSEguide","article_publisher":"https:\/\/www.facebook.com\/mycbseguide\/","article_published_time":"2018-11-20T08:58:54+00:00","article_modified_time":"2018-12-17T09:00:18+00:00","og_image":[{"url":"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/12%20Maths%20Book%20pic.jpg","type":"","width":"","height":""}],"author":"myCBSEguide","twitter_card":"summary_large_image","twitter_creator":"@mycbseguide","twitter_site":"@mycbseguide","twitter_misc":{"Written by":"myCBSEguide","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#article","isPartOf":{"@id":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/"},"author":{"name":"myCBSEguide","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/f67796d5f5c5a468e8c680aaaad21519"},"headline":"CBSE Question Paper 2012 class 12 Mathematics","datePublished":"2018-11-20T08:58:54+00:00","dateModified":"2018-12-17T09:00:18+00:00","mainEntityOfPage":{"@id":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/"},"wordCount":969,"commentCount":0,"publisher":{"@id":"https:\/\/mycbseguide.com\/blog\/#organization"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#primaryimage"},"thumbnailUrl":"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/12%20Maths%20Book%20pic.jpg","keywords":["CBSE Question Paper","class 12","Last Year Papers","maths","previous question paper"],"articleSection":["CBSE","CBSE Question Papers","Mathematics"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/","url":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/","name":"CBSE Question Paper 2012 class 12 Mathematics","isPartOf":{"@id":"https:\/\/mycbseguide.com\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#primaryimage"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#primaryimage"},"thumbnailUrl":"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/12%20Maths%20Book%20pic.jpg","datePublished":"2018-11-20T08:58:54+00:00","dateModified":"2018-12-17T09:00:18+00:00","description":"CBSE Question Paper 2012 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2012.","breadcrumb":{"@id":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#primaryimage","url":"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/12%20Maths%20Book%20pic.jpg","contentUrl":"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/12%20Maths%20Book%20pic.jpg"},{"@type":"BreadcrumbList","@id":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2012-class-12-mathematics\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mycbseguide.com\/blog\/"},{"@type":"ListItem","position":2,"name":"CBSE Question Papers","item":"https:\/\/mycbseguide.com\/blog\/category\/cbse-question-papers\/"},{"@type":"ListItem","position":3,"name":"CBSE Question Paper 2012 class 12 Mathematics"}]},{"@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\/f67796d5f5c5a468e8c680aaaad21519","name":"myCBSEguide"}]}},"_links":{"self":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/21947","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\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/comments?post=21947"}],"version-history":[{"count":7,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/21947\/revisions"}],"predecessor-version":[{"id":22153,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/21947\/revisions\/22153"}],"wp:attachment":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/media?parent=21947"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/categories?post=21947"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/tags?post=21947"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}