{"id":22030,"date":"2018-11-20T15:22:15","date_gmt":"2018-11-20T09:52:15","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=22030"},"modified":"2018-12-17T14:29:58","modified_gmt":"2018-12-17T08:59:58","slug":"cbse-question-paper-2009-class-12-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2009-class-12-mathematics\/","title":{"rendered":"CBSE Question Paper 2009 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-2009-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-2009-class-12-mathematics\/#CBSE_Question_Paper_2009_class_12_Mathematics\" >CBSE Question Paper 2009 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-2009-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-2009-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-2009-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-2009-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-2009-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-2009-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-2009-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-2009-class-12-mathematics\/#OR-4\" >OR<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2009-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-12\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2009-class-12-mathematics\/#Last_Year_Question_Paper_2009\" >Last Year Question Paper 2009<\/a><\/li><\/ul><\/nav><\/div>\n<p><strong>CBSE Question Paper 2009 class 12 Mathematics<\/strong>\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2009. 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 2009 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 2009 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_2009_class_12_Mathematics\"><\/span>CBSE Question Paper 2009 class 12 Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><!-- Ionic's root component and where the app will load --><\/p>\n<div>\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>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.<\/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. Find the value of x, if<\/p>\n<p><img decoding=\"async\" style=\"height: 48px; width: 168px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image001.png\" \/><\/p>\n<p>2. Let <img decoding=\"async\" style=\"height: 15px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image002.png\" \/>\u00a0be a binary operation on N given by a<img decoding=\"async\" style=\"height: 15px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image002.png\" \/>b = HCF (a, b), a, <img decoding=\"async\" style=\"height: 19px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image003.png\" \/>\u00a0Write the value of 22<img decoding=\"async\" style=\"height: 15px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image002.png\" \/>4.<\/p>\n<p>3. Evaluate:<\/p>\n<p><img decoding=\"async\" style=\"height: 52px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image004.png\" \/><\/p>\n<p>4. Evaluate:<\/p>\n<p><img decoding=\"async\" style=\"height: 48px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image005.png\" \/><\/p>\n<p>5. Write the principal value of <img decoding=\"async\" style=\"height: 45px; width: 97px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image006.png\" \/>.<\/p>\n<p>6. Write the value of the following determinant:<\/p>\n<p><img decoding=\"async\" style=\"height: 75px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image007.png\" \/><\/p>\n<p>7. Find the value of x from the following:<\/p>\n<p><img decoding=\"async\" style=\"height: 48px; width: 73px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image008.png\" \/><\/p>\n<p>8. Find the value of p if<\/p>\n<p><img decoding=\"async\" style=\"height: 25px; width: 219px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image009.png\" \/><\/p>\n<p>9. Write the direction cosines of a line equally inclined to the three coordinate axes.<\/p>\n<p>10.\u00a0 If <img decoding=\"async\" style=\"height: 21px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image010.png\" \/>\u00a0is a unit vector and <img decoding=\"async\" style=\"height: 25px; width: 132px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image011.png\" \/>\u00a0then find <img decoding=\"async\" style=\"height: 32px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image012.png\" \/>.<\/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 The length x of a rectangle is decreasing at the rate of 5 cm\/minute and the width y is increasing at the rate of 4cm\/minute. When (b) the area of the rectangle.<\/p>\n<p style=\"text-align: center;\"><strong>OR<\/strong><\/p>\n<p><strong>\u00a0 <\/strong>Find the intervals in which the function f given by<\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image013.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 21px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image014.png\" \/><\/p>\n<p>Is strictly increasing or strictly decreasing.<\/p>\n<p>12.\u00a0 If sing 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\/2009\/set1_S\/image015.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>If <img decoding=\"async\" style=\"height: 25px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image016.png\" \/>\u00a0find<img decoding=\"async\" style=\"height: 41px; width: 28px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image017.png\" \/><\/p>\n<p>13.\u00a0 Let <img decoding=\"async\" style=\"height: 21px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image018.png\" \/>\u00a0be defined by<\/p>\n<p><img decoding=\"async\" style=\"height: 88px; width: 181px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image019.png\" \/>\u00a0for all <img decoding=\"async\" style=\"height: 19px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image020.png\" \/><\/p>\n<p>14.\u00a0 Evaluate:<\/p>\n<p><img decoding=\"async\" style=\"height: 45px; width: 104px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image021.png\" \/><\/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>Evaluate:<\/p>\n<p><img decoding=\"async\" style=\"height: 29px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image022.png\" \/><\/p>\n<p>15.\u00a0 If <img decoding=\"async\" style=\"height: 48px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image023.png\" \/>\u00a0Show that<\/p>\n<p><img decoding=\"async\" style=\"height: 44px; width: 176px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image024.png\" \/><\/p>\n<p>16.\u00a0 On a multiple choice examination with three possible answers (out of which only one is correct) for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing ?<\/p>\n<p>17.\u00a0 Using properties of determinants, prove the following:<\/p>\n<p><img decoding=\"async\" style=\"height: 75px; width: 176px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image025.png\" \/><\/p>\n<p>18.\u00a0 Solve the following differential equation:<\/p>\n<p><img decoding=\"async\" style=\"height: 45px; width: 133px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image026.png\" \/><\/p>\n<p>19.\u00a0 Solve the following differential equation:<\/p>\n<p><img decoding=\"async\" style=\"height: 41px; width: 133px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image027.png\" \/><\/p>\n<p>20.\u00a0 Find the shortest distance between the following two lines:<\/p>\n<p><img decoding=\"async\" style=\"height: 25px; width: 208px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image028.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 25px; width: 205px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image029.png\" \/><\/p>\n<p>21.\u00a0 Prove the following:<\/p>\n<p><img decoding=\"async\" style=\"height: 52px; width: 224px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image030.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 45px; width: 71px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image031.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>Solve for x:<\/p>\n<p><img decoding=\"async\" style=\"height: 25px; width: 208px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image032.png\" \/><\/p>\n<p>22.\u00a0 The scalar product of the vector <img decoding=\"async\" style=\"height: 25px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image033.png\" \/>\u00a0with the unit vector along the sum of vectors <img decoding=\"async\" style=\"height: 25px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image034.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 25px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image035.png\" \/>\u00a0is equal to one. Find the value of <img decoding=\"async\" style=\"height: 19px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image036.png\" \/>.<\/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). Also find the distance of the point P(6, 5, 9) from the plane.<\/p>\n<p>24.\u00a0 Find the area of the region included between the parabola y<sup>2<\/sup> = x and the line x + y = 2.<\/p>\n<p>25.\u00a0 Evaluate:<\/p>\n<p><img decoding=\"async\" style=\"height: 49px; width: 140px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image037.png\" \/><\/p>\n<p>26.\u00a0 Using matrices, solves the following system of equations:<\/p>\n<p>X + y + z = 6<\/p>\n<p>X + 2z = 7<\/p>\n<p>3x + y + z = 12<\/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>Obtain the inverse of the following matrix using elementary operations:<\/p>\n<p><img decoding=\"async\" style=\"height: 75px; width: 99px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image038.png\" \/><\/p>\n<p>27.\u00a0 Coloured balls are distributed in three bags as shown in the following table:<\/p>\n<p>&nbsp;<\/p>\n<table class=\"mobile\" border=\"1\" cellspacing=\"0\" cellpadding=\"3\">\n<tbody>\n<tr>\n<td style=\"width: 83.8pt;\" rowspan=\"2\">\n<p style=\"text-align: center;\">Bag<\/p>\n<\/td>\n<td style=\"width: 292.9pt;\" colspan=\"3\">\n<p style=\"text-align: center;\">Colour of the ball<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 99.6pt;\">\n<p style=\"text-align: center;\">Black<\/p>\n<\/td>\n<td style=\"width: 96.65pt;\">\n<p style=\"text-align: center;\">White<\/p>\n<\/td>\n<td style=\"width: 96.65pt;\">\n<p style=\"text-align: center;\">Red<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 83.8pt;\">\n<p style=\"text-align: center;\">I<\/p>\n<\/td>\n<td style=\"width: 99.6pt;\">\n<p style=\"text-align: center;\">1<\/p>\n<\/td>\n<td style=\"width: 96.65pt;\">\n<p style=\"text-align: center;\">2<\/p>\n<\/td>\n<td style=\"width: 96.65pt;\">\n<p style=\"text-align: center;\">3<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 83.8pt;\">\n<p style=\"text-align: center;\">II<\/p>\n<\/td>\n<td style=\"width: 99.6pt;\">\n<p style=\"text-align: center;\">2<\/p>\n<\/td>\n<td style=\"width: 96.65pt;\">\n<p style=\"text-align: center;\">4<\/p>\n<\/td>\n<td style=\"width: 96.65pt;\">\n<p style=\"text-align: center;\">1<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 83.8pt;\">\n<p style=\"text-align: center;\">III<\/p>\n<\/td>\n<td style=\"width: 99.6pt;\">\n<p style=\"text-align: center;\">4<\/p>\n<\/td>\n<td style=\"width: 96.65pt;\">\n<p style=\"text-align: center;\">5<\/p>\n<\/td>\n<td style=\"width: 96.65pt;\">\n<p style=\"text-align: center;\">3<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>A bag is selected at random and then two balls are randomly drawn from the selected bag. They happen to be black and red. What is the probability that they came from bag I ?<\/p>\n<p>28.\u00a0A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5,760 to invest and has a space for at most 20 items. A fan costs him Rs. 360 and a sewing machine Rs. 240. His expectation is that he can sell a fan at a profit of Rs. 22 and sewing machine at a profit of Rs. 18. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize the profit ? Formulate this as a linear programming problem and solve it graphically.<\/p>\n<p>29.\u00a0If the sum of the length of the hypotenuse and a side of a right-angled triangle is given, show that the area of the triangle is maximum when the angle between them is <img decoding=\"async\" style=\"height: 41px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image039.png\" \/><\/p>\n<p style=\"text-align: center;\"><strong>OR<\/strong><\/p>\n<p>\u00a0 A manufacturer can sell x items at a price of Rs. <img decoding=\"async\" style=\"height: 45px; width: 67px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image040.png\" \/>\u00a0each. The cost price of x items is Rs. <img decoding=\"async\" style=\"height: 45px; width: 73px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2009\/set1_S\/image041.png\" \/>\u00a0Find the number of items he should sell to earn maximum profit.<\/p>\n<div>\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<\/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 2009 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 2009 for class 12 Mathematics have 29 questions with solution.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Last_Year_Question_Paper_2009\"><\/span>Last Year Question Paper 2009<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<\/div>\n","protected":false},"excerpt":{"rendered":"<p>CBSE Question Paper 2009 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2009. 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 2009 class 12 Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2009-class-12-mathematics\/\" aria-label=\"More on CBSE Question Paper 2009 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":[1527,1342,80,321,1566],"class_list":["post-22030","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-mathematics","tag-previous-question-paper"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - 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