{"id":21918,"date":"2018-11-19T15:23:57","date_gmt":"2018-11-19T09:53:57","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=21918"},"modified":"2018-12-17T14:33:58","modified_gmt":"2018-12-17T09:03:58","slug":"cbse-question-paper-2015-class-12-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2015-class-12-mathematics\/","title":{"rendered":"CBSE Question Paper 2015 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-2015-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-2015-class-12-mathematics\/#CBSE_Question_Paper_2015_class_12_Mathematics\" >CBSE Question Paper 2015 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-2015-class-12-mathematics\/#General_Instructions\" >General Instructions:<\/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-2015-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-2015-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-2015-class-12-mathematics\/#OR\" >OR<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2015-class-12-mathematics\/#Class_12_Mathematics_Last_Year_Paper\" >Class 12 Mathematics Last Year Paper<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2015-class-12-mathematics\/#Previous_Year_Questions_Papers_2015\" >Previous Year Questions Papers 2015<\/a><\/li><\/ul><\/nav><\/div>\n<p><strong>CBSE Question Paper 2015 class 12 Mathematics<\/strong>\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2015. 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 2015 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 2015 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_2015_class_12_Mathematics\"><\/span>CBSE Question Paper 2015 class 12 Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"General_Instructions\"><\/span><strong>General Instructions:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>(i)<\/strong> There ae total of 26 questions in all. All questions are compulsory.<\/p>\n<p><strong>(ii)<\/strong> The question paper consists of 26 questions divided into three sections A, B and C. Section \u2018A\u2019 comprises of 6 questions of one mark each. Section \u2018B\u2019 comprises of 13 questions of four marks each. Section \u2018C\u2019 comprises of 7 question of six marks each.<\/p>\n<p><strong>(iii)<\/strong> All questions in Section \u2018A\u2019 are to be answered in one word, one sentence or as per the exact requirement of the question.<\/p>\n<p><strong>(iv)<\/strong> There is no overall choice. However, an 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.<\/p>\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><strong>1. <\/strong>For what value of x, the matrix <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image001.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image001.png\" \/>\u00a0is skew symmetric matrix?<\/p>\n<p><strong>2.<\/strong> If <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image002.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image002.png\" \/>\u00a0=<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image003.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image003.png\" \/>\u00a0=<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image004.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image004.png\" \/>=1, then find the value of\u00a0\u00a0 <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image005.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image005.png\" \/>.<\/p>\n<p><strong>3.<\/strong> Write the equation of a line perpendicular to <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image006.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image006.png\" \/>\u00a0and passing through point (1, 0 , 3).<\/p>\n<p><strong>4.<\/strong> If <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image002.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image002.png\" \/>\u00a0= 3 and <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image007.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image007.png\" \/>, for what angle between <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image008.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image008.png\" \/>\u00a0and <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image009.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image009.png\" \/>\u00a0, <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image010.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image010.png\" \/>\u00a0=1 ?<\/p>\n<p><strong>5.<\/strong> Write the integrating factor of the differential equation <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image011.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image011.png\" \/>.<\/p>\n<p><strong>6.<\/strong> Write the sum of the order and degree of the differential equation <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image012.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image012.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><strong>7.<\/strong> Prove that <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image013.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image013.png\" \/><\/p>\n<p style=\"text-align: center;\"><strong>OR<\/strong><\/p>\n<p>Prove that <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image014.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image014.png\" \/><\/p>\n<p><strong>8.<\/strong> Evaluate: <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image015.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image015.png\" \/><\/p>\n<p><strong>9.<\/strong> Evaluate: <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image016.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image016.png\" \/><\/p>\n<p><strong>10.<\/strong> Let <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image008.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image008.png\" \/>, <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image009.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image009.png\" \/>, <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image017.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image017.png\" \/>\u00a0be unit vectors such that <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image008.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image008.png\" \/>.<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image009.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image009.png\" \/>= <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image008.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image008.png\" \/>.<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image017.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image017.png\" \/>= 0 and the angle between <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image009.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image009.png\" \/>and <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image017.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image017.png\" \/>is <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image018.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image018.png\" \/>\u00a0, prove that: <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image019.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image019.png\" \/><\/p>\n<p><strong>11.<\/strong> If y = <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image020.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image020.png\" \/>\u00a0= <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image021.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image021.png\" \/>, then prove that: sin y = <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image022.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image022.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 equation: <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image023.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image023.png\" \/>\u00a0(1-x)<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image024.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image024.png\" \/><\/p>\n<p><strong>12.<\/strong> If A = <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image025.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image025.png\" \/>and A\u2019A = I, then find the value of x, y and z.<\/p>\n<p><strong>13.<\/strong> Using properties of determinants, prove that:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image026.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image026.png\" \/>\u00a0= <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image027.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image027.png\" \/><\/p>\n<p><strong>14.<\/strong> If x=a <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image028.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image028.png\" \/>, y = a <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image029.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image029.png\" \/>\u00a0, then find the value of <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image030.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image030.png\" \/>\u00a0at <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image031.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image031.png\" \/>.<\/p>\n<p>OR<\/p>\n<p>Find the value of \u2018k\u2019 for which the function defined as:<\/p>\n<p>F(x) =<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image032.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image032.png\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image033.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2015_02\/image033.png\" \/><\/p>\n<p>Is continuous at x=0.<\/p>\n<p><strong>15.<\/strong> A trust fund has Rs. 60000 that must be invested in two different types of bonds. The first bond pays 3% interest per year and the second bond pays 5% interest per year. Using matrix multiplication, determine how to divide Rs. 60000 among the two types of bonds, if the trust fund must obtain an annual total interest of Rs. 2000.<\/p>\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<h2><span class=\"ez-toc-section\" id=\"Class_12_Mathematics_Last_Year_Paper\"><\/span>Class 12 Mathematics Last Year Paper<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Download Mathematics Last Year Paper 2015 with solution from best CBSE App the myCBSEguide. CBSE class 12 Mathematics question paper 2015 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 2015 for class 12 Mathematics have 29 questions with solution.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Previous_Year_Questions_Papers_2015\"><\/span>Previous Year Questions Papers 2015<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 2015 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 2015 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2015. 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 2015 class 12 Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2015-class-12-mathematics\/\" aria-label=\"More on CBSE Question Paper 2015 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-21918","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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