{"id":22052,"date":"2018-11-20T16:53:15","date_gmt":"2018-11-20T11:23:15","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=22052"},"modified":"2018-12-17T14:27:09","modified_gmt":"2018-12-17T08:57:09","slug":"cbse-question-paper-2005-class-12-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2005-class-12-mathematics\/","title":{"rendered":"CBSE Question Paper 2005 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-2005-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-2005-class-12-mathematics\/#CBSE_Question_Paper_2005_class_12_Mathematics\" >CBSE Question Paper 2005 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-2005-class-12-mathematics\/#SECTION_%E2%80%93_A\" >SECTION &#8211; A<\/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-2005-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-5\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2005-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-6\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2005-class-12-mathematics\/#SECTION_%E2%80%93_B\" >SECTION &#8211; B<\/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-2005-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-8\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2005-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-9\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2005-class-12-mathematics\/#SECTION_%E2%80%93_C\" >SECTION &#8211; 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-2005-class-12-mathematics\/#Or-5\" >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-2005-class-12-mathematics\/#Or-6\" >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-2005-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-2005-class-12-mathematics\/#Last_Year_Question_Paper_2005\" >Last Year Question Paper 2005<\/a><\/li><\/ul><\/nav><\/div>\n<p>CBSE Question Paper 2005 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2005. 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 2005 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 2005 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_2005_class_12_Mathematics\"><\/span>CBSE Question Paper 2005 class 12 Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div>\n<div>\n<p><strong><strong>General Instructions:<\/strong><\/strong><\/p>\n<p><strong>The question paper consists of three Sections A, B and C. Section. In addition to Section<br \/>\nas, every student has to attempt either Section B or Section C.<br \/>\n1. For Section A (Question numbers)<br \/>\n<\/strong>1 to 8 are of 3 marks each.<br \/>\n9 to 15 are of 4 marks each.<br \/>\n16 to 18 are of 6 marks each.<strong><br \/>\n2. For Section B\/Section C\u00a0(Question numbers)<br \/>\n<\/strong>19 to 22 are of 3 marks each.<br \/>\n23 to 25 are of 4 marks each.<br \/>\n26 is of 6 marks.<strong><br \/>\n3. All questions are compulsory.<br \/>\n4. Internal choices have been provided in some questions. You have to attempt only one of the choices in such questions.<br \/>\n5. Use of calculator is not permitted. However, you may ask for logarithmic and statistical tables, if required.<\/strong><\/p>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"SECTION_%E2%80%93_A\"><\/span><strong><strong>SECTION &#8211; A<\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong><strong>Q. 1. <\/strong>If <strong><img decoding=\"async\" style=\"height: 43px; width: 70px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image001.png\" \/><\/strong>prove that <strong><img decoding=\"async\" style=\"height: 21px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image002.gif\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>\u00a0Q. 2. <\/strong>Show that <strong><img decoding=\"async\" style=\"height: 75px; width: 172px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image003.gif\" \/><\/strong>where <strong><img decoding=\"async\" style=\"height: 21px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image004.gif\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>\u00a0Q. 3. <\/strong>In a single throw of three dice, determine the probability of getting (a<\/strong><\/p>\n<p><strong><strong>Q. 4. <\/strong>A class consists of 10 boys and 8 girls. Three students are selected at random. Find the probability that the selected group has<\/strong><\/p>\n<p><strong>(a) All boys,<\/strong><\/p>\n<p><strong>(b) All girls,<\/strong><\/p>\n<p><strong>(c) 2 boys and 1 girl.<\/strong><\/p>\n<p><strong><strong>Q. 5. <\/strong>Evaluate: <strong><img decoding=\"async\" style=\"height: 41px; width: 163px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image005.gif\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>\u00a0Q. 6. <\/strong>Evaluate: <strong><img decoding=\"async\" style=\"height: 49px; width: 124px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image006.gif\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>Q. 7. <\/strong>Form the differential equation representing the family <img decoding=\"async\" style=\"height: 22px; width: 125px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image007.png\" \/>where a is an arbitrary constant.<\/strong><\/p>\n<p><strong><strong>Q. 8. <\/strong>Solve the following differential equation: <strong><img decoding=\"async\" style=\"height: 41px; width: 229px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image008.gif\" \/><\/strong><\/strong><\/p>\n<p><strong>Solve the following differential equation: <strong><img decoding=\"async\" style=\"height: 41px; width: 139px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image009.gif\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>Q. 9. <\/strong>Prove that: <img decoding=\"async\" style=\"height: 21px; width: 183px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image010.gif\" \/><\/strong><\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Or\"><\/span><strong><strong>Or<\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Text the validity of the following argument:<\/strong><\/p>\n<p><strong><strong><img decoding=\"async\" style=\"height: 72px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image011.gif\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>\u00a0Q. 10. <\/strong>Evaluate: <img decoding=\"async\" style=\"height: 44px; width: 195px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image012.gif\" \/><\/strong><\/p>\n<p><strong><strong>Q. 11. <\/strong>Differentiate sin <img decoding=\"async\" style=\"height: 21px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image013.png\" \/>from first principles.<\/strong><\/p>\n<p><strong><strong>Q. 12. <\/strong>If <img decoding=\"async\" style=\"height: 51px; width: 191px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image014.gif\" \/>find <img decoding=\"async\" style=\"height: 41px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image015.gif\" \/><\/strong><\/p>\n<p><strong><strong>Q. 13. <\/strong>The surface area of a spherical bubble is increasing at the rate of 2 cm<sup>2<\/sup>\/sec. find the rate at which the volume of the bubble is increasing at the instant its radius is 6 cm.<\/strong><\/p>\n<p><strong><strong>Q. 14. <\/strong>Evaluate: <img decoding=\"async\" style=\"height: 44px; width: 157px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image016.gif\" \/><\/strong><\/p>\n<p><strong><strong>Q. 15. <\/strong>Evaluate: <img decoding=\"async\" style=\"height: 51px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image017.gif\" \/><\/strong><\/p>\n<p><strong><strong>Q. 16. <\/strong>Using matrices, solve the following system of linear equations:<\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 69px; width: 109px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image018.gif\" \/><\/strong><\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Or-2\"><\/span><strong><strong>Or<\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>If <img decoding=\"async\" style=\"height: 48px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image019.gif\" \/>find x and y such that <img decoding=\"async\" style=\"height: 21px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image020.gif\" \/>Hence find A -1.<\/strong><\/p>\n<p><strong><strong>Q. 17. <\/strong>A wire of length 36 cm is cut into two pieces. One of the pieces is turned in the form of a square and the other in the form of an equilateral triangle. Find the length of each piece so that the sum of the areas of the two be minimum.<\/strong><\/p>\n<p><strong><strong>Q. 18. <\/strong>Find the area bounded by the curve <img decoding=\"async\" style=\"height: 24px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image021.gif\" \/>and the straight line <img decoding=\"async\" style=\"height: 21px; width: 73px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image022.gif\" \/><\/strong><\/p>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"SECTION_%E2%80%93_B\"><\/span><strong><strong>SECTION &#8211; B<\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong><strong>Q. 19. <\/strong>Express the vector <img decoding=\"async\" style=\"height: 25px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image023.gif\" \/>as sum of two vectors such that one is parallel to the vector <img decoding=\"async\" style=\"height: 24px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image024.gif\" \/>and the other is perpendicular to <img decoding=\"async\" style=\"height: 23px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image025.gif\" \/><\/strong><\/p>\n<p><strong><strong>Q. 20. <\/strong>If the vectors <img decoding=\"async\" style=\"height: 27px; width: 220px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image026.gif\" \/>be coplanar, show that <img decoding=\"async\" style=\"height: 21px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image027.gif\" \/><\/strong><\/p>\n<p><strong><strong>Q. 21. <\/strong>A car, traveling with a uniform acceleration, has a velocity of 18 km\/hour at a certain time and 54 km\/hour after covering a distance of 500m. How much further will it travel to attain a velocity of 72 km\/hour?<\/strong><\/p>\n<p><strong><strong>Q. 22. <\/strong>A body falls freely from the top of a tower; It covers <img decoding=\"async\" style=\"height: 41px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image028.gif\" \/>of the whole distance in the last second. Find the height of the tower and the total by the body to fall down.<\/strong><\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Or-3\"><\/span><strong><strong>Or<\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>A cricket ball is project with a velocity of 29.4 m\/sec. Find<\/strong><\/p>\n<p><strong>(a) The greatest range on the horizontal plane; and<\/strong><\/p>\n<p><strong>(b) The angle of projection to give a range of 44.10 m.<\/strong><\/p>\n<p><strong><strong>Q. 23. <\/strong>Find the co-ordinates of the foot of the perpendicular drawn from the point A(1,8,4,) to the line joining the points B(0,-1,3) and C(2,-3,-1).<\/strong><\/p>\n<p><strong><strong>Q. 24. <\/strong>The resultant of two forces <img decoding=\"async\" style=\"height: 21px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image029.gif\" \/>and <img decoding=\"async\" style=\"height: 25px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image030.gif\" \/>acting at a point is at right angles to force <img decoding=\"async\" style=\"height: 16px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image031.png\" \/>while the resultant of forces <img decoding=\"async\" style=\"height: 21px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image029.gif\" \/>and <img decoding=\"async\" style=\"height: 23px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image032.gif\" \/>,acting at the same angle, is at right angles to force <img decoding=\"async\" style=\"height: 23px; width: 17px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image033.gif\" \/>Prove that <img decoding=\"async\" style=\"height: 27px; width: 79px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image034.gif\" \/><\/strong><\/p>\n<p><strong><strong>Q. 25. <\/strong><img decoding=\"async\" style=\"height: 25px; width: 61px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image035.gif\" \/>are two unlike parallel forces. When the magnitude of <img decoding=\"async\" style=\"height: 21px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image029.gif\" \/>is doubled, it is found that the line of action of <img decoding=\"async\" style=\"height: 25px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image030.gif\" \/>is midway between the lines of action of the new and the original resultants, find the ratio of P and Q.<\/strong><\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Or-4\"><\/span><strong><strong>Or<\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Three forces acting on a particle, are in equilibrium. If the angle between the first force and the second force be 120 0 and that between the second force and the third force be 135 0 , find the ratio of their magnitudes.<\/strong><\/p>\n<p><strong><strong>Q. 26. <\/strong>Find the Cartesian as well as the vector equation of the plants passing through the intersection of the plants<\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 27px; width: 273px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image036.gif\" \/>which are at unit distance from the origin.<\/strong><\/p>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"SECTION_%E2%80%93_C\"><\/span><strong><strong>SECTION &#8211; C<\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong><strong>Q. 19. <\/strong>Solve the following linear programming problem graphically:<\/strong><\/p>\n<p><strong>Maximize <img decoding=\"async\" style=\"height: 21px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image037.gif\" \/><\/strong><\/p>\n<p><strong>Subject to constraints<\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 69px; width: 77px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image038.gif\" \/><\/strong><\/p>\n<p><strong><strong>Q. 20. <\/strong>Two tailors A and B earn Rs.150 and Rs.200 per day respectively. A can stitch 6 shirts and 4 plants per day while B can stitch 10 shirts and 4 pants per day. Form a linear programming problem to minimise the labour cost to produce at lest 60 shirts and 32 pants.<\/strong><\/p>\n<p><strong><strong>Q. 21. <\/strong>A company has two plants to manufacture motor cycled. 70% motor cycles are manufactured at the first plant, while 30% are manufactured at the second plant. At the first plant, 80% motor cycles are rated of the standard quality while at the second plant, 90% are rated of standard quality. A motor cycle, randomly picked up, is found to be of standard quality. Find the probability that it has come out from the second plant.<\/strong><\/p>\n<p><strong><strong>Q. 22. <\/strong>The probability that student entering a university will graduate is 0.4. Find the probability that out of 3 students of the university:<br \/>\n\u2022\u00a0 None will graduate,<br \/>\n\u2022\u00a0 Only one will graduate,<br \/>\n\u2022\u00a0 All will graduate.<\/strong><\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Or-5\"><\/span><strong><strong>Or<\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>In a book of 200 pages, 200 misprints are randomly distributed. Using Poisson&#8217;s distribution calculate the probability that a randomly observed page of the book will be found to have at lest 3 errors. [Use: e -1 =0.3679]<\/strong><\/p>\n<p><strong><strong>Q. 23. <\/strong>A, B and C are engaged in a printing business. A being the working partner, receives 10% of the net profit as salary. The remaining profit is divided among themselves in the ratio 4:5:9. If A gets in total Rs. 3,00,000, find the total profit in the business and the shares of B and C in it.<\/strong><\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Or-6\"><\/span><strong><strong>Or<\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>A and B are partners in a business sharing profits and losses equality. They admit a new partner C and it is agreed that now the profit and losses will be shared amongst A, B and C in the ratio 9 : 8 : 7 respectively. If C paid Rs. 2.10 lakh as premium for the good will, find the shares of A and B in the premium.<\/strong><\/p>\n<p><strong><strong>Q. 24. <\/strong>Find the present worth of an ordinary annuity of Rs. 1,200 per annum for 10 years at 12% per annum, compounded annually. [Use (1.12) -10 =0.3221]<\/strong><\/p>\n<p><strong><strong>Q. 25. <\/strong>A calculator manufacturing company finds that the daily cost of producing<\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 7px; width: 7px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image039.png\" \/>calculators is given by <img decoding=\"async\" style=\"height: 21px; width: 136px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/12\/maths\/2005\/set1\/image040.gif\" \/><br \/>\n\u2022\u00a0 If each calculator is sold for Rs. 350, find the minimum number of calculators that must be produced daily and sold to ensure no loss.<br \/>\n\u2022\u00a0 If the selling price is in creased by Rs. 150, what would be the break-even point?<\/strong><\/p>\n<p><strong><strong>Q. 26. <\/strong>A bill was drawn on April 4, 2004 at 8 months after date and was discounted on July 14, 2004 at 5% per annum. If the Banker&#8217;s gain is Rs.200, find the face value of the bill.<\/strong><\/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 2005 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 2005.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Last_Year_Question_Paper_2005\"><\/span>Last Year Question Paper 2005<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 2005 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<\/div>\n","protected":false},"excerpt":{"rendered":"<p>CBSE Question Paper 2005 class 12 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2005. 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 2005 class 12 Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2005-class-12-mathematics\/\" aria-label=\"More on CBSE Question Paper 2005 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-22052","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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