{"id":21890,"date":"2018-11-19T14:31:43","date_gmt":"2018-11-19T09:01:43","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=21890"},"modified":"2018-12-17T14:36:40","modified_gmt":"2018-12-17T09:06:40","slug":"cbse-question-paper-2016-class-12-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2016-class-12-mathematics\/","title":{"rendered":"CBSE Question Paper 2016 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-2016-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-2016-class-12-mathematics\/#CBSE_Question_Paper_2016_class_12_Mathematics\" >CBSE Question Paper 2016 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-2016-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-2016-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-2016-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-2016-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-2016-class-12-mathematics\/#OR-2\" >OR<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2016-class-12-mathematics\/#Previous_Year_Questions_Papers_for_class_12_Maths\" >Previous Year Questions Papers for class 12 Maths<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2016-class-12-mathematics\/#CBSE_Question_Paper_2016\" >CBSE Question Paper 2016<\/a><\/li><\/ul><\/nav><\/div>\n<p><strong>CBSE Question Paper 2016 class 12 Mathematics<\/strong>\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2016. 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 2016 class 12 Mathematics<\/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 2016 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_2016_class_12_Mathematics\"><\/span>CBSE Question Paper 2016 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<ul>\n<li>All question are compulsory.<\/li>\n<li>Please check that this Question Paper contains 26 Questions.<\/li>\n<li>Questions 1 to 6 in Section-A are Very Short Answer Type Questions carrying one mark each.<\/li>\n<li>Questions 7 to 19 in Section-B are Long Answer I Type Questions carrying 4 marks each.<\/li>\n<li>Questions 20 to 26 in Section-C are Long Answer II Type Questions carrying 6 marks each.<\/li>\n<li>Please write down the serial number of the Question before attempting it.<\/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. Matrix <img decoding=\"async\" style=\"height: 76px; width: 116px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image001.png\" \/>\u00a0is given to be symmetric, find value of a and b.<\/p>\n<p>2. Find the position vector of a point which divides the join of points with position vectors <img decoding=\"async\" style=\"height: 23px; width: 43px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image002.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 23px; width: 47px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image003.png\" \/>\u00a0externally in the ratio 2:1.<\/p>\n<p>3. The two vectors <img decoding=\"async\" style=\"height: 25px; width: 37px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image004.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 25px; width: 73px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image005.png\" \/>\u00a0represent the two sides AB and AC, respectively of a. Find the length of the median through A.<\/p>\n<p>4. Find the vector equation of plane which is at a distance of 5 units from the origin and its<br \/>\nnormal vector is <img decoding=\"async\" style=\"height: 23px; width: 81px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image006.png\" \/>.<\/p>\n<p>5. Find the maximum value of<\/p>\n<p><img decoding=\"async\" style=\"height: 76px; width: 149px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image007.png\" \/><\/p>\n<p>6. If A is a square matrix such that A<sup>2<\/sup> = I, then find the simplified value of<br \/>\n<img decoding=\"async\" style=\"height: 24px; width: 158px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image008.png\" \/><\/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>7. Show that the equation of normal at any point t on the curve x = 3 cost t \u2013 cos<sup>3<\/sup>t and<br \/>\ny = 3 sin t \u2013 sin<sup>3<\/sup>t is \u00a04(y cos<sup>3<\/sup>t \u2013 sin<sup>3<\/sup>t) = 3 sin 4t.<\/p>\n<p>&nbsp;<\/p>\n<p>8. Find <img decoding=\"async\" style=\"height: 42px; width: 145px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image009.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<\/p>\n<p><img decoding=\"async\" style=\"height: 47px; width: 139px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image010.png\" \/><\/p>\n<p>9. Find <img decoding=\"async\" style=\"height: 49px; width: 95px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image011.png\" \/><\/p>\n<p>10. Evaluate <img decoding=\"async\" style=\"height: 29px; width: 101px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image012.png\" \/><\/p>\n<p>11. Find the particular solution of the differential equation<\/p>\n<p><img decoding=\"async\" style=\"height: 29px; width: 215px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image013.png\" \/><\/p>\n<p>Given that y = 0 when x = 1.<\/p>\n<p>12. Find the general solution of the following differential equation:<\/p>\n<p><img decoding=\"async\" style=\"height: 42px; width: 187px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image014.png\" \/><\/p>\n<p>13. Show that the vector <img decoding=\"async\" style=\"height: 25px; width: 28px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image015.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 23px; width: 13px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image016.png\" \/>\u00a0are coplanar if <img decoding=\"async\" style=\"height: 25px; width: 62px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image017.png\" \/>and <img decoding=\"async\" style=\"height: 23px; width: 35px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image018.png\" \/>\u00a0are coplanar.<\/p>\n<p>14. Find the vector and Cartesian equations of the line through the point (1, 2, -4) perpendicular to the two lines.<\/p>\n<p><img decoding=\"async\" style=\"height: 33px; width: 254px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image019.png\" \/>\u00a0and<\/p>\n<p><img decoding=\"async\" style=\"height: 33px; width: 253px;\" src=\"http:\/\/media-mycbseguide.s3.amazonaws.com\/images\/cbse\/12\/maths\/set5\/image020.png\" \/><\/p>\n<p>15. Three persons A, B and C apply for a job of manager in a Private Company. Chances of their selection (A, B and C) are in the ratio 1:2:4. The probabilities that A, B and C can introduce changes to improve profits of the company are 0.8, 0.5 and 0.3, respectively. If the change does not take place, find the probability that it is due to the appointment of C.<\/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>A and B throw a pair of dice alternately. A wins the game if he gets a total of 7 and B wins the game if he gets a total of 10. If A starts the game, then find the probability that B wins.<\/p>\n<p style=\"text-align: center;\"><strong>These are 15 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<h2 style=\"text-align: left;\"><span class=\"ez-toc-section\" id=\"Previous_Year_Questions_Papers_for_class_12_Maths\"><\/span>Previous Year Questions Papers for class 12 Maths<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Previous Year Questions Papers for class 12 Maths\u00a0with 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 2016 for class 12 Mathematics have 15 questions with solution.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Question_Paper_2016\"><\/span>CBSE Question Paper 2016<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 2016 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 2016 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2016. 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 2016 class 12 Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2016-class-12-mathematics\/\" aria-label=\"More on CBSE Question Paper 2016 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":[1527,1342,80,1485,1016],"class_list":["post-21890","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-year-questions-papers"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - 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