{"id":8839,"date":"2017-12-29T16:11:47","date_gmt":"2017-12-29T10:41:47","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=8839"},"modified":"2018-10-10T16:52:49","modified_gmt":"2018-10-10T11:22:49","slug":"sample-paper-for-class-11-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/","title":{"rendered":"Sample paper for class 11 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\/sample-paper-for-class-11-mathematics\/#Sample_paper_for_class_11_Mathematics\" >Sample paper for class 11 Mathematics<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#1_Find_the_domain_of_the_function\" >1. Find the domain of the function .<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#2_If\" >2. If<\/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\/sample-paper-for-class-11-mathematics\/#3_What_is_the_maximum_value_of_if\" >3. What is the maximum value of  if.<\/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\/sample-paper-for-class-11-mathematics\/#4_Name_the_locus_of_points_the_sum_of_whose_distance_from_two_given_points_is_a_constant\" >4. Name the locus of points, the sum of whose distance from two given points is a constant.<\/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\/sample-paper-for-class-11-mathematics\/#5_Check_whether_the_three_points_2_0_5_3_2_6_are_collinear\" >5. Check whether the three points (2, 0), (5, 3), (2, 6) are collinear.<\/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\/sample-paper-for-class-11-mathematics\/#6_Write_the_condition_so_that_the_equation_represents_a_circle\" >6. Write the condition so that the equation  represents a circle.<\/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\/sample-paper-for-class-11-mathematics\/#7_Find_the_inverse_of_the_function\" >7. Find the inverse of the function<\/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\/sample-paper-for-class-11-mathematics\/#8_Find_the_vertex_axis_Focus_Directrix_and_latus_rectum_of_the_parabola\" >8. Find the vertex, axis , Focus , Directrix and latus rectum of the parabola\u00a0<\/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\/sample-paper-for-class-11-mathematics\/#9_Express_in_the_form\" >9. Express  in the form .<\/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\/sample-paper-for-class-11-mathematics\/#10_Solve_the_inequality\" >10. Solve the inequality  .<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#11_Find_the_general_value_of_if\" >11. Find the general value of  if .<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#12_In_a_single_throw_of_2_dies_what_is_the_probability_of_getting_a_prime_number_on_each_die\" >12. In a single throw of 2 dies what is the probability of getting a prime number on each die.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#13_If_Find_the_value\" >13. If Find the value .<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#14_If_prove_that\" >14. If  prove that .<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#15_If_is_defined_as_follows_Find\" >15. If  is defined as follows:  Find .<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#16_Prove_that_the_equation_is_impossible_if_x_is_real\" >16. Prove that the equation  is impossible if x is real<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#17_Find_the_domain_of_the_function_for_which\" >17. Find the domain of the function for which .<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#18_Find_the_limit\" >18. Find the limit .<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#19_Solve\" >19. Solve<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#20_Differentiate_from_the_first_principle_wrt_x\" >20. Differentiate  from the first principle w.r.t. x.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#Numbers_that_are_divisible_by_2_3_5_are\" >Numbers that are divisible by 2, 3, 5 are<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#Sample_Paper_for_class_11\" >Sample Paper for class 11\u00a0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#Marking_Scheme_for_Class_11_exam\" >Marking Scheme for Class 11 exam<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-25\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/#Download_CBSE_Sample_Papers_Class_11\" >Download CBSE Sample Papers Class 11<\/a><\/li><\/ul><\/nav><\/div>\n<p>Download CBSE sample paper for class 11 Mathematics from myCBSEguide. Sample paper for class 11 Mathematics are available for download in myCBSEguide app, the best app for CBSE students. Sample Paper for class 11 Mathematics includes questions from Sets and Functions, Algebra, Coordinate Geometry, Calculus, Mathematical Reasoning, Statistics and Probability.<\/p>\n<p style=\"text-align: center;\"><strong>Sample paper for Class 11 Maths\u00a0<a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-11-mathematics\/1371\/cbse-sample-papers\/2\/\">Download as PDF<\/a><\/strong><\/p>\n<p><strong>For study on the go download <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\">myCBSEguide app<\/a> for android phones. Sample paper for class 11 Mathematics and other subjects are available for download as PDF in app too.<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Sample_paper_for_class_11_Mathematics\"><\/span>Sample paper for class 11 Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Here is Sample paper for class 11 Mathematics. To get the answers and more sample papers, visit myCBSEguide App or website stated above.<\/p>\n<h3 style=\"text-align: center;\"><\/h3>\n<p><strong>Time allowed: 3 hours, Maximum Marks: 100<\/strong><\/p>\n<p><strong>General Instructions:<\/strong><br \/>\na) All questions are compulsory.<br \/>\nb) The question paper consists of 26 questions divided into three sections A, B and C. Section A comprises of 6 questions of one mark each, Section B comprises of 13 questions of four marks each and Section C comprises of 7 questions of six marks each.<br \/>\nc) All questions in Section A are to be answered in one word, one sentence or as per the exact requirement of the question.<br \/>\nd) Use of calculators is not permitted.<\/p>\n<hr \/>\n<p style=\"text-align: center;\"><strong>Section A<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"1_Find_the_domain_of_the_function\"><\/span><strong>1. Find the domain of the function <\/strong><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image001.png\" \/>.<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong> Domain of is in the open interval <img decoding=\"async\" style=\"height: 21px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image002.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"2_If\"><\/span><strong>2. If <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image003.png\" \/><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong> <img decoding=\"async\" style=\"height: 21px; width: 91px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image005.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"3_What_is_the_maximum_value_of_if\"><\/span><strong>3. What is the maximum value of <img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image006.png\" \/> <img decoding=\"async\" style=\"height: 19px; width: 77px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image007.png\" \/>if.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong> Max value is 2.<\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"4_Name_the_locus_of_points_the_sum_of_whose_distance_from_two_given_points_is_a_constant\"><\/span><strong>4. Name the locus of points<img decoding=\"async\" style=\"height: 21px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image008.png\" \/>, the sum of whose distance from two given points is a constant.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong> Ellipse<\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"5_Check_whether_the_three_points_2_0_5_3_2_6_are_collinear\"><\/span><strong>5. Check whether the three points (2, 0), (5, 3), (2, 6) are collinear.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong> Condition for collinearity is not satisfied here since<br \/>\n<img decoding=\"async\" style=\"height: 42px; width: 74px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image009.png\" \/> = <img decoding=\"async\" style=\"height: 42px; width: 43px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image010.png\" \/> <img decoding=\"async\" style=\"height: 21px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image011.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"6_Write_the_condition_so_that_the_equation_represents_a_circle\"><\/span><strong>6. Write the condition so that the equation <img decoding=\"async\" style=\"height: 24px; width: 169px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image012.png\" \/> represents a circle.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong> <img decoding=\"async\" style=\"height: 21px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image013.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\"><strong>Section B<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_Find_the_inverse_of_the_function\"><\/span><strong>7. Find the inverse of the function <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image014.png\" \/><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong><br \/>\n<img decoding=\"async\" style=\"height: 180px; width: 117px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image015.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"8_Find_the_vertex_axis_Focus_Directrix_and_latus_rectum_of_the_parabola\"><\/span><strong>8. Find the vertex, axis , Focus , Directrix and latus rectum of the parabola\u00a0<img decoding=\"async\" style=\"height: 24px; width: 167px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image016.png\" \/><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong><br \/>\n<img decoding=\"async\" style=\"height: 140px; width: 217px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image017.png\" \/><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image018.png\" \/><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image019.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"9_Express_in_the_form\"><\/span><strong>9. Express <img decoding=\"async\" style=\"height: 41px; width: 43px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image020.png\" \/> in the form <img decoding=\"async\" style=\"height: 19px; width: 40px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image021.png\" \/>.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image022.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"10_Solve_the_inequality\"><\/span><strong>10. Solve the inequality <\/strong> <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image023.png\" \/>.<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong> Either both factors are negative or both factors are positive to have this in equality. if <img decoding=\"async\" style=\"height: 19px; width: 37px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image024.png\" \/> both factors are negative and if <img decoding=\"async\" style=\"height: 19px; width: 36px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image025.png\" \/> both factors are positive. Hence the solution is<img decoding=\"async\" style=\"height: 21px; width: 139px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image026.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"11_Find_the_general_value_of_if\"><\/span><strong>11. Find the general value of <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image027.png\" \/> if <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"height: 41px; width: 101px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image028.png\" alt=\"Sample paper for class 11 Mathematics\" width=\"101\" height=\"41\" \/>.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image029.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"12_In_a_single_throw_of_2_dies_what_is_the_probability_of_getting_a_prime_number_on_each_die\"><\/span><strong>12. In a single throw of 2 dies what is the probability of getting a prime number on each die.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong> Total number of occurrence = <img decoding=\"async\" style=\"height: 19px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image030.png\" \/><br \/>\nOn each die there are 3 prime numbers <img decoding=\"async\" style=\"height: 21px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image031.png\" \/><br \/>\nHence total number of favorable cases <img decoding=\"async\" style=\"height: 19px; width: 55px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image032.png\" \/><br \/>\nProbability of getting a prime in each die = <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image033.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"13_If_Find_the_value\"><\/span><strong>13. If <img decoding=\"async\" style=\"height: 24px; width: 179px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image034.png\" \/>Find the value <img decoding=\"async\" style=\"height: 41px; width: 63px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image035.png\" \/>.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image036.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"14_If_prove_that\"><\/span><strong>14. If <img decoding=\"async\" style=\"height: 41px; width: 212px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image037.png\" \/> prove that <img decoding=\"async\" style=\"height: 19px; width: 189px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image038.png\" \/>.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image039.png\" \/><br \/>\n<img decoding=\"async\" style=\"height: 61px; width: 189px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image040.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"15_If_is_defined_as_follows_Find\"><\/span><strong>15. If <img decoding=\"async\" style=\"height: 21px; width: 69px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image041.png\" \/> is defined as follows: <img decoding=\"async\" style=\"height: 48px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image042.png\" \/> Find <img decoding=\"async\" style=\"height: 25px; width: 149px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image043.png\" \/>.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong><br \/>\n<img decoding=\"async\" style=\"height: 25px; width: 79px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image044.png\" \/><br \/>\n<img decoding=\"async\" style=\"height: 21px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image045.png\" \/><br \/>\n<img decoding=\"async\" style=\"height: 25px; width: 87px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image046.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"16_Prove_that_the_equation_is_impossible_if_x_is_real\"><\/span><strong>16. Prove that the equation <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image047.png\" \/> is impossible if x is real<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Sol : Use the inequality<br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image048.png\" \/><br \/>\n<img decoding=\"async\" style=\"height: 200px; width: 162px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image049.png\" \/><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image050.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"17_Find_the_domain_of_the_function_for_which\"><\/span><strong>17. Find the domain of the function for which <img decoding=\"async\" style=\"height: 24px; width: 309px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image051.png\" \/>.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image052.png\" \/><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image053.png\" \/><br \/>\nHence f(x) and {tex}\\phi {\/tex}(x) are equal when the domain is in the set {tex}\\{\\frac{1}{3},2\\}{\/tex}<\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"18_Find_the_limit\"><\/span><strong>18. Find the limit <img decoding=\"async\" style=\"height: 41px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image054.png\" \/>.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong><br \/>\n<img decoding=\"async\" style=\"height: 250px; width: 124px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image055.png\" \/><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image056.png\" \/><\/p>\n<hr \/>\n<h3><span class=\"ez-toc-section\" id=\"19_Solve\"><\/span><strong>19. Solve <img decoding=\"async\" style=\"height: 21px; width: 247px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image057.png\" \/><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong><br \/>\n<img decoding=\"async\" style=\"height: 150px; width: 311px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image058.png\" \/><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image059.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\"><strong>Section C<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"20_Differentiate_from_the_first_principle_wrt_x\"><\/span><strong>20. Differentiate <img decoding=\"async\" style=\"height: 19px; width: 35px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image060.png\" \/> from the first principle w.r.t. x.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Sol:<\/strong><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image061.png\" \/><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image062.png\" \/><br \/>\n<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image063.png\" \/><br \/>\n<img decoding=\"async\" style=\"height: 41px; width: 71px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image064.png\" \/><br \/>\nNote: As <img decoding=\"async\" style=\"height: 41px; width: 143px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image065.png\" \/><\/p>\n<hr \/>\n<p><strong>21. <\/strong><strong>Find the sum of <img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image066.png\" \/> terms of the series <img decoding=\"async\" style=\"height: 19px; width: 168px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image067.png\" \/><\/strong><\/p>\n<p><strong>Sol: <\/strong>The successive First order of difference is <img decoding=\"async\" style=\"height: 21px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image068.png\" \/>this is an AP.<br \/>\nThe second order difference is(Difference of the first difference) <img decoding=\"async\" style=\"height: 21px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image069.png\" \/><br \/>\nThird order difference (Difference of second order differences) is all <img decoding=\"async\" style=\"height: 19px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image070.png\" \/><br \/>\nn <sup>th<\/sup> term<br \/>\n<img decoding=\"async\" style=\"height: 45px; width: 405px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image071.png\" \/><br \/>\n= <img decoding=\"async\" style=\"height: 41px; width: 185px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image072.png\" \/><br \/>\n=<img decoding=\"async\" style=\"height: 44px; width: 83px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image073.png\" \/><br \/>\nSum = <img decoding=\"async\" style=\"height: 41px; width: 137px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image074.png\" \/><br \/>\n= <img decoding=\"async\" style=\"height: 41px; width: 243px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image075.png\" \/><br \/>\n= <img decoding=\"async\" style=\"height: 41px; width: 116px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image076.png\" \/><\/p>\n<hr \/>\n<p><strong>22. <\/strong><strong>Find the equation of a circle whose diameter is the line joining the points <img decoding=\"async\" style=\"height: 24px; width: 127px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image077.png\" \/>.<\/strong><\/p>\n<p><strong>Sol: <\/strong>Let the point A be <img decoding=\"async\" style=\"height: 24px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image078.png\" \/>and B be <img decoding=\"async\" style=\"height: 24px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image079.png\" \/><\/p>\n<p>Let the point C be a point be (x, y) on the circle<\/p>\n<p>Then AC and BC are perpendicular<\/p>\n<p>Product of Slopes of line AC and BC =-1<\/p>\n<p><img decoding=\"async\" style=\"height: 47px; width: 127px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image080.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 24px; width: 241px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image081.png\" \/><\/p>\n<hr \/>\n<p><strong>23. Calculate the mean deviation about the mean from the following data<\/strong><\/p>\n<table border=\"1\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr>\n<td>xi<\/td>\n<td>5<\/td>\n<td>7<\/td>\n<td>9<\/td>\n<td>10<\/td>\n<td>12<\/td>\n<td>15<\/td>\n<\/tr>\n<tr>\n<td>fi<\/td>\n<td>14<\/td>\n<td>6<\/td>\n<td>2<\/td>\n<td>2<\/td>\n<td>2<\/td>\n<td>4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Sol:<\/strong><\/p>\n<table border=\"1\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr>\n<td><img decoding=\"async\" style=\"height: 24px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image082.png\" \/><\/td>\n<td><img decoding=\"async\" style=\"height: 24px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image083.png\" \/><\/td>\n<td><img decoding=\"async\" style=\"height: 24px; width: 27px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image084.png\" \/><\/td>\n<td><img decoding=\"async\" style=\"height: 27px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image085.png\" \/><\/td>\n<td><img decoding=\"async\" style=\"height: 27px; width: 59px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image086.png\" \/><\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>14<\/td>\n<td>70<\/td>\n<td>4<\/td>\n<td>56<\/td>\n<\/tr>\n<tr>\n<td>7<\/td>\n<td>6<\/td>\n<td>42<\/td>\n<td>2<\/td>\n<td>12<\/td>\n<\/tr>\n<tr>\n<td>9<\/td>\n<td>2<\/td>\n<td>18<\/td>\n<td>0<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td>10<\/td>\n<td>2<\/td>\n<td>20<\/td>\n<td>1<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>12<\/td>\n<td>2<\/td>\n<td>24<\/td>\n<td>3<\/td>\n<td>6<\/td>\n<\/tr>\n<tr>\n<td>15<\/td>\n<td>4<\/td>\n<td>60<\/td>\n<td>6<\/td>\n<td>24<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><img decoding=\"async\" style=\"height: 24px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image087.png\" \/><\/td>\n<td><img decoding=\"async\" style=\"height: 24px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image088.png\" \/><\/td>\n<td><\/td>\n<td><img decoding=\"async\" style=\"height: 27px; width: 105px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image089.png\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img decoding=\"async\" style=\"height: 41px; width: 217px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image090.png\" \/><\/p>\n<p>Mean Deviation <img decoding=\"async\" style=\"height: 41px; width: 245px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image091.png\" \/><\/p>\n<hr \/>\n<p><strong>24. <\/strong><strong>How many numbers can be formed with the digits <img decoding=\"async\" style=\"height: 21px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image092.png\" \/> so that odd digits are in odd places and even digits are in even places.<\/strong><\/p>\n<p><strong>Sol: <\/strong>The odd digits <img decoding=\"async\" style=\"height: 21px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image093.png\" \/> can be arranged in their 4 places in <img decoding=\"async\" style=\"height: 41px; width: 35px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image094.png\" \/> ways<\/p>\n<p>Even digits <img decoding=\"async\" style=\"height: 21px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image095.png\" \/> can be arranged in their 3 places in <img decoding=\"async\" style=\"height: 41px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image096.png\" \/><\/p>\n<p>Hence the total number of arrangements = <img decoding=\"async\" style=\"height: 41px; width: 135px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image097.png\" \/> ways<\/p>\n<hr \/>\n<p><strong>25. <\/strong><strong>Two engineers go for an interview for two vacancies in the same grade. The probability of engineer 1 (E1) getting selected is <img decoding=\"async\" style=\"height: 41px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image098.png\" \/> and that of engineer 2 (E2) is <img decoding=\"async\" style=\"height: 41px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image099.png\" \/>. Find the probability that only one of them will be selected.<\/strong><\/p>\n<p><strong>Sol: <\/strong>Probability of one of them getting selected <img decoding=\"async\" style=\"height: 24px; width: 71px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image100.png\" \/>= 1- (Probability of both getting selected + Probability of none getting selected)<\/p>\n<p>= <img decoding=\"async\" style=\"height: 25px; width: 189px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image101.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 115px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image102.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 83px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image103.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 100px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image104.png\" \/><\/p>\n<hr \/>\n<p><strong>26. <\/strong><strong>How many numbers are there between 1 and 1000(both included) that are not divisible by 2, 3, and 5?<\/strong><\/p>\n<p><strong>Sol: <\/strong>Let A denote the set of numbers that are divisible by 2, B set of numbers that are divisible by 3, C set of numbers that are divisible by 5, D set of numbers that are divisible by both 2 and3 , E set of numbers that are divisible by both 2 and 5, F set of numbers that are divisible by 3 and 5, G set of numbers that are divisible by all the three numbers<\/p>\n<p><img decoding=\"async\" style=\"height: 24px; width: 104px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image105.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 41px; width: 91px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image106.png\" \/><\/p>\n<p>In this case <img decoding=\"async\" style=\"height: 41px; width: 39px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image107.png\" \/>, Hence <img decoding=\"async\" style=\"height: 41px; width: 148px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image108.png\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image109.png\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Numbers_that_are_divisible_by_2_3_5_are\"><\/span>Numbers that are divisible by 2, 3, 5 are<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image110.png\" \/><\/p>\n<p>Numbers that are not divisible by 2, 3, 5 are<\/p>\n<p><img decoding=\"async\" style=\"height: 19px; width: 113px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/sp\/11\/maths\/sp3\/image111.png\" \/><\/p>\n<p>This is only initial part of the whole sample paper. Download Complete set of <strong>sample paper for class 11 Mathematics<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Sample_Paper_for_class_11\"><\/span><strong>Sample Paper for class 11\u00a0<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>It is Sample paper for class 11 Mathematics. However, myCBSEguide provides the best sample papers for all the subjects. There are number of sample papers which you can download from myCBSEguide website. <strong>Sample paper for class 11<\/strong> <strong>all subjects<\/strong><\/p>\n<ul>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-physics\/1340\/cbse-sample-papers\/2\/\"><strong>Physics<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-chemistry\/1356\/cbse-sample-papers\/2\/\"><strong>Chemistry<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-mathematics\/1371\/cbse-sample-papers\/2\/\"><strong>Mathematics<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-biology\/1388\/cbse-sample-papers\/2\/\"><strong>Biology<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-accountancy\/1411\/cbse-sample-papers\/2\/\"><strong> Accountancy<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-economics\/1423\/cbse-sample-papers\/2\/\"><strong>Economics<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-business-studies\/1740\/cbse-sample-papers\/2\/\"><strong>Business Studies<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-computer-science\/1852\/cbse-sample-papers\/2\/\"><strong>Computer Science<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-informatics-practices\/1874\/cbse-sample-papers\/2\/\"><strong>Informatics Practices<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-english-core\/1856\/cbse-sample-papers\/2\/\"><strong>English Core<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-hindi-core\/1866\/cbse-sample-papers\/2\/\"><strong>Hindi Core<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-hindi-elective\/1868\/cbse-sample-papers\/2\/\"><strong>Hindi Elective<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-history\/1870\/cbse-sample-papers\/2\/\"><strong>History<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-political-science\/1880\/cbse-sample-papers\/2\/\"><strong>Political Science<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-geography\/1864\/cbse-sample-papers\/2\/\"><strong>Geography<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-sociology\/1882\/cbse-sample-papers\/2\/\"><strong>Sociology<\/strong><\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-physical-education\/1878\/cbse-sample-papers\/2\/\"><strong>Physical Education<\/strong><\/a><\/li>\n<li><strong><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-physics\/1340\/\">Other Subjects<\/a><\/strong><\/li>\n<\/ul>\n<p>These are also Sample Paper for class 11 Mathematics available for download through myCBSEguide app. These are the latest Sample Paper for class 11 Mathematics as per the new exam pattern. Download the app today to get the latest and up-to-date study material.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Marking_Scheme_for_Class_11_exam\"><\/span><strong>Marking Scheme for Class 11 exam<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<table style=\"width: 100%;\" border=\"1\" cellspacing=\"0\" cellpadding=\"3\">\n<tbody>\n<tr>\n<td>Subject<\/td>\n<td>Board Marks<\/td>\n<td>Practical or internal Marks<\/td>\n<\/tr>\n<tr>\n<td>English<\/td>\n<td>100 Marks<\/td>\n<td>ZERO Marks<\/td>\n<\/tr>\n<tr>\n<td>Hindi<\/td>\n<td>100 Marks<\/td>\n<td>ZERO Marks<\/td>\n<\/tr>\n<tr>\n<td>Mathematics<\/td>\n<td>100 Marks<\/td>\n<td>ZERO Marks<\/td>\n<\/tr>\n<tr>\n<td>Chemistry<\/td>\n<td>70 Marks<\/td>\n<td>30 Marks<\/td>\n<\/tr>\n<tr>\n<td>Physics<\/td>\n<td>70 Marks<\/td>\n<td>30 Marks<\/td>\n<\/tr>\n<tr>\n<td>Biology<\/td>\n<td>70 Marks<\/td>\n<td>30 Marks<\/td>\n<\/tr>\n<tr>\n<td>Computer Science<\/td>\n<td>70 Marks<\/td>\n<td>30 Marks<\/td>\n<\/tr>\n<tr>\n<td>Informatics Practices<\/td>\n<td>70 Marks<\/td>\n<td>30 Marks<\/td>\n<\/tr>\n<tr>\n<td>Accountancy<\/td>\n<td>80 Marks<\/td>\n<td>20 Marks<\/td>\n<\/tr>\n<tr>\n<td>Business Studies<\/td>\n<td>80 Marks<\/td>\n<td>30 Marks<\/td>\n<\/tr>\n<tr>\n<td>Economics<\/td>\n<td>80 Marks<\/td>\n<td>20 Marks<\/td>\n<\/tr>\n<tr>\n<td>History<\/td>\n<td>80 Marks<\/td>\n<td>20 Marks<\/td>\n<\/tr>\n<tr>\n<td>Political Science<\/td>\n<td>100 Marks<\/td>\n<td>ZERO Marks<\/td>\n<\/tr>\n<tr>\n<td>Geography<\/td>\n<td>70 Marks<\/td>\n<td>30 Marks<\/td>\n<\/tr>\n<tr>\n<td>Sociology<\/td>\n<td>80 Marks<\/td>\n<td>20 Marks<\/td>\n<\/tr>\n<tr>\n<td>Physical Education<\/td>\n<td>70 Marks<\/td>\n<td>30 Marks<\/td>\n<\/tr>\n<tr>\n<td>Home Science<\/td>\n<td>70 Marks<\/td>\n<td>30 Marks<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><span class=\"ez-toc-section\" id=\"Download_CBSE_Sample_Papers_Class_11\"><\/span><strong>Download CBSE Sample Papers Class 11<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download complete sample paper for class 11 Mathematics, Business Studies, Political Science, Economics, Physics, Geography, Computer Science, Home Science, Chemistry and Biology; 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 <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> and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Download CBSE sample paper for class 11 Mathematics from myCBSEguide. Sample paper for class 11 Mathematics are available for download in myCBSEguide app, the best app for CBSE students. Sample Paper for class 11 Mathematics includes questions from Sets and Functions, Algebra, Coordinate Geometry, Calculus, Mathematical Reasoning, Statistics and Probability. Sample paper for Class 11 &#8230; <a title=\"Sample paper for class 11 Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/sample-paper-for-class-11-mathematics\/\" aria-label=\"More on Sample paper for class 11 Mathematics\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":8519,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,6],"tags":[163,12,439,440,312,321],"class_list":["post-8839","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse-class-11","category-tips-and-tricks","tag-cbse-class-11","tag-cbse-sample-papers","tag-cbse-sample-papers-2017-18","tag-cbse-sample-papers-2018","tag-cbse-solved-sample-papers","tag-mathematics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Sample paper for class 11 Mathematics | myCBSEguide<\/title>\n<meta name=\"description\" content=\"Sample paper for class 11 Mathematics for exam 2017-2018 as per the new CBSE exam format. 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