{"id":23429,"date":"2018-12-11T17:10:24","date_gmt":"2018-12-11T11:40:24","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=23429"},"modified":"2023-03-22T15:09:05","modified_gmt":"2023-03-22T09:39:05","slug":"cbse-question-paper-2011-class-10-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2011-class-10-mathematics\/","title":{"rendered":"CBSE Question Paper 2011 class 10 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-2011-class-10-mathematics\/#Class_10_Mathematics_list_of_Chapters\" >Class 10 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-2011-class-10-mathematics\/#Last_Year_Question_Paper_Class_10_Mathematics_2011\" >Last Year Question Paper Class 10 Mathematics 2011<\/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-2011-class-10-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-4\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2011-class-10-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-2011-class-10-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-6\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2011-class-10-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-7\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2011-class-10-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-2011-class-10-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-2011-class-10-mathematics\/#Section_D\" >Section D<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2011-class-10-mathematics\/#CBSE_Question_Paper_2011_class_10_Mathematics\" >CBSE Question Paper 2011 class 10 Mathematics<\/a><\/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-2011-class-10-mathematics\/#Previous_Year_Question_Paper_for_class_10_in_PDF\" >Previous Year Question Paper for class 10 in PDF<\/a><\/li><\/ul><\/nav><\/div>\n<p><strong>CBSE Question Paper 2011 class 10 Mathematics<\/strong>\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2011. 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>Question Paper 2011 class 10 Mathematics<\/strong><\/p>\n<p style=\"text-align: center;\"><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-10-mathematics\/1202\/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\/10%20Maths%20Book.jpg\" alt=\"CBSE Question Paper 2011 class 10 Mathematics\" width=\"135\" height=\"166\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Class_10_Mathematics_list_of_Chapters\"><\/span>Class 10 Mathematics list of Chapters<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>Real Number<\/li>\n<li>Polynomials<\/li>\n<li>Pair of Linear Equations in Two Variables<\/li>\n<li>Quadratic Equations<\/li>\n<li>Arithmetic Progressions<\/li>\n<li>Triangles<\/li>\n<li>Coordinate Geometry<\/li>\n<li>Introduction to Trigonometry and its Applications<\/li>\n<li>Circles<\/li>\n<li>Constructions<\/li>\n<li>Area Related to Circles<\/li>\n<li>Surface Area and Volumes<\/li>\n<li>Statistics and Probability<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Last_Year_Question_Paper_Class_10_Mathematics_2011\"><\/span>Last Year Question Paper Class 10 Mathematics 2011<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div><strong><strong>General Instructions:<\/strong><\/strong><\/div>\n<div>\n<div>\n<p>(i) All questions compulsory.<br \/>\n(ii) The question paper consists of 34 questions divided into four sections \u2013 A, B, C, and D.<br \/>\n(iii) Section A contains 10 questions of 1 mark each, which are multiple choice type questions, Section B contains 8 questions of 2 marks each, Section C contains 10 questions of 3 each and Section D contains 6 questions of 4 marks each.<br \/>\n(iv) There is no overall choice in the paper. However, internal choice is provided in one questions of 2 marks, three questions of 3 marks and two questions of 4 marks.<br \/>\n(v) Use of calculators is not permitted.<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Section_A\"><\/span><strong><strong> Section A<\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong><strong>Question number 1 to 10 carry 1 mark each. For each of the question number 1 to 10, four alternative choice have been provided, of which only one is correct. Select the correct choice.<\/strong><\/strong><\/p>\n<p><strong><strong>1. The roots of the equation x<sup>2<\/sup> \u2013 3x \u2013 m(m+3)=0, where m is a constant, are<\/strong><\/strong><br \/>\n<strong><strong>(A) m, m + 3<\/strong><\/strong><br \/>\n<strong><strong>(B) \u2013 m, m + 3<\/strong><\/strong><br \/>\n<strong><strong>(C) m, \u2013 (m + 3)<\/strong><\/strong><br \/>\n<strong><strong>(D) \u2013 m, \u2013 (m + 3)<\/strong><\/strong><\/p>\n<p><strong><strong>2. If the common difference of A.P. is 3, then a<sub>20<\/sub> \u2013 a<sub>15<\/sub> is<\/strong><\/strong><br \/>\n<strong><strong>(A) 5<\/strong><\/strong><br \/>\n<strong><strong>(B) 3<\/strong><\/strong><br \/>\n<strong><strong>(C) 15<\/strong><\/strong><br \/>\n<strong><strong>(D) 20<\/strong><\/strong><\/p>\n<p><strong><strong>3. In Figure 1, O is the centre of a circle, PQ is a chord and PT is the tangent at P. If <img decoding=\"async\" style=\"height: 24px; width: 95px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image001.png\" \/>\u00a0then <img decoding=\"async\" style=\"height: 16px; width: 17px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image002.png\" \/>TPQ is equal to<\/strong><\/strong><br \/>\n<strong><strong><img decoding=\"async\" id=\"Picture 1\" style=\"height: 140px; width: 136px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image003.png\" \/><\/strong><\/strong><br \/>\n<strong><strong>(A) 55\u00b0<\/strong><\/strong><br \/>\n<strong><strong>(B)<\/strong><\/strong><strong><strong> 70\u00b0<\/strong><\/strong><br \/>\n<strong><strong>(C) 45\u00b0<\/strong><\/strong><br \/>\n<strong><strong>(D) 3<\/strong><\/strong><strong><strong>5\u00b0<\/strong><\/strong><\/p>\n<p><strong><strong>4. In Figure 2, AB and AC are tangents to the circle with centre O such that <\/strong><\/strong><strong><strong><img decoding=\"async\" style=\"height: 21px; width: 89px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image004.png\" \/>Then <img decoding=\"async\" style=\"height: 16px; width: 17px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image002.png\" \/>BOC is equal to<\/strong><\/strong><br \/>\n<strong><strong><img decoding=\"async\" id=\"Picture 2\" style=\"height: 140px; width: 204px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image005.png\" \/><\/strong><\/strong><br \/>\n<strong><strong>(A) 40\u00b0<\/strong><\/strong><br \/>\n<strong><strong>(B) 50\u00b0<\/strong><\/strong><br \/>\n<strong><strong>(C) 140\u00b0<\/strong><\/strong><br \/>\n<strong><strong>(D) 1<\/strong><\/strong><strong><strong>50\u00b0<\/strong><\/strong><\/p>\n<p><strong><strong>5. The perimeter (in cm) of a square circumscribing a circle of radius a cm, is<\/strong><\/strong><br \/>\n<strong><strong>(A) 8 a<\/strong><\/strong><br \/>\n<strong><strong>(B) 4 a<\/strong><\/strong><br \/>\n<strong><strong>(C) 2 a<\/strong><\/strong><br \/>\n<strong><strong>(D) 16 a<\/strong><\/strong><\/p>\n<p><strong><strong>6. The radius (in cm) of the largest right circular cone that can be cut out from a edge 4.2 cm is<\/strong><\/strong><br \/>\n<strong><strong>(A) 4.2<\/strong><\/strong><br \/>\n<strong><strong>(B) 2.1<\/strong><\/strong><br \/>\n<strong><strong>(C) 8.4<\/strong><\/strong><br \/>\n<strong><strong>(D) 1.05<\/strong><\/strong><\/p>\n<p><strong><strong>7. A tower stands vertically on the ground. From a point on the ground which is 25 m away from the foot of the tower, the angle of elevation of the top of the towers is found to be 4<\/strong><\/strong><strong><strong>5\u00b0. Then the height (in meters) of the tower is<\/strong><\/strong><br \/>\n<strong><strong>(A) <\/strong><\/strong><strong><strong><img decoding=\"async\" style=\"height: 23px; width: 41px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image006.png\" \/>\u00a0<\/strong><\/strong><br \/>\n<strong><strong>(B) <\/strong><\/strong><strong><strong><img decoding=\"async\" style=\"height: 24px; width: 40px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image007.png\" \/><\/strong><\/strong><br \/>\n<strong><strong>(C) 25<\/strong><\/strong><br \/>\n<strong><strong>(D) 12.5<\/strong><\/strong><\/p>\n<p><strong><strong>8. If <\/strong><\/strong><strong><strong><img decoding=\"async\" style=\"height: 45px; width: 60px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image008.png\" \/>\u00a0is the mid-point of the Line segment joining the points A(-6, 5) and B(-2, 3), then the value of a is<\/strong><\/strong><br \/>\n<strong><strong>(A) \u2013 8<\/strong><\/strong><br \/>\n<strong><strong>(B) 3<\/strong><\/strong><br \/>\n<strong><strong>(C) \u2013 4<\/strong><\/strong><br \/>\n<strong><strong>(D) 4<\/strong><\/strong><\/p>\n<p><strong><strong>9. If A and B are the points (-6, 7) and (-1, -5) respectively, then the distance 2AB is equal to<\/strong><\/strong><br \/>\n<strong><strong>(A) 13<\/strong><\/strong><br \/>\n<strong><strong>(B) 26<\/strong><\/strong><br \/>\n<strong><strong>(C) 169<\/strong><\/strong><br \/>\n<strong><strong>(D) 238<\/strong><\/strong><\/p>\n<p><strong><strong>10. A card is drawn from a well-shuffled deck of 52 playing cards. The probability that the card will not be in an ace is<\/strong><\/strong><br \/>\n<strong><strong>(A) <\/strong><\/strong><strong><strong><img decoding=\"async\" style=\"height: 41px; width: 21px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image009.png\" \/>\u00a0<\/strong><\/strong><br \/>\n<strong><strong>(B) <\/strong><\/strong><strong><strong><img decoding=\"async\" style=\"height: 41px; width: 16px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image010.png\" \/>\u00a0<\/strong><\/strong><br \/>\n<strong><strong>(C) <\/strong><\/strong><strong><strong><img decoding=\"async\" style=\"height: 41px; width: 21px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image011.png\" \/>\u00a0<\/strong><\/strong><br \/>\n<strong><strong>(D) <\/strong><\/strong><strong><strong><img decoding=\"async\" style=\"height: 41px; width: 16px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image012.png\" \/>\u00a0<\/strong><\/strong><\/p>\n<hr \/>\n<p><strong><strong>Section B<\/strong><\/strong><strong><strong>Question numbers 11 to 18 carry 2 marks each.<\/strong><\/strong><\/p>\n<p><strong><strong>11.\u00a0 Find the value of m so that the quadratic equation mx(x \u2013 7) + 49 = 0 has two roots.<\/strong><\/strong><\/p>\n<p><strong><strong>12. Find how many two-digit number are divisible by 6.<\/strong><\/strong><\/p>\n<p><strong><strong>13. In figure 3, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6 cm, BC = 9 cm and CD = 8 cm. Find the length of side AD.<\/strong><\/strong><br \/>\n<strong><strong><img decoding=\"async\" id=\"Picture 3\" style=\"height: 140px; width: 126px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image016.png\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>14. Draw a line segment AB of length 7 cm. Using ruler and compass, find a point P on AB such that <\/strong><\/strong><strong><strong><img decoding=\"async\" style=\"height: 41px; width: 60px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image018.png\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>15. Find the perimeter of the shaded region in Figure 4, If ABCD is a square of side 14 cm and APB and CPD are semicircles. <img decoding=\"async\" style=\"height: 45px; width: 89px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image020.png\" \/><\/strong><\/strong><br \/>\n<strong><strong><img decoding=\"async\" id=\"Picture 4\" style=\"height: 120px; width: 127px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image021.png\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>16. Two cubes each of volume 27 cm<sup>3<\/sup> are joined end to end to form a solid. Find the surface area of resulting cuboid.<\/strong><\/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><strong>A cone of height 20 cm and radius of base 5 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the diameter of the sphere.<\/strong><\/strong><\/p>\n<p><strong><strong>17. Find the value of y for which the distance between the points A (3, -1) and B(11, y) is 10 units.<\/strong><\/strong><\/p>\n<p><strong><strong>18. A ticket is drawn at random from a bag containing ticket of numbered from 1 to 40. Find the probability that the selected ticket has a number which is a multiple of 5.<\/strong><\/strong><\/p>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Section_C\"><\/span><strong><strong>Section C<\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong><strong>Question number 19 to 28 carry 3 marks each.<\/strong><\/strong><\/p>\n<p><strong><strong>19. Find the roots of the following quadratic equation:<\/strong><\/strong><\/p>\n<p><strong><strong><img decoding=\"async\" style=\"height: 24px; width: 123px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image030.png\" \/>\u00a0<\/strong><\/strong><\/p>\n<p><strong><strong>20. Find an A.P. Whose fourth term is 9 and the sum of its sixth term and thirteenth term is 40.<\/strong><\/strong><\/p>\n<p><strong><strong>21. In Figure 5, a triangle PQR is drawn to circumscribe a circle of radius 6 cm such that the segment OT and TR into which QR is divided by the point of contact T, are of length 12 cm and 9 cm respectively. If the area of <\/strong><\/strong><strong><strong><img decoding=\"async\" style=\"height: 17px; width: 15px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image034.png\" \/>PQR = 189 cm<sup>2<\/sup>, then find the length of sides PQ and PR.<\/strong><\/strong><br \/>\n<strong><strong><img decoding=\"async\" id=\"Picture 5\" style=\"height: 180px; width: 187px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image035.png\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>22. Draw a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of 6<\/strong><\/strong><strong><strong>0\u00b0.<\/strong><\/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><strong>Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle. Whose sides are <\/strong><\/strong><strong><strong><img decoding=\"async\" style=\"height: 41px; width: 15px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image039.png\" \/>times, the corresponding sides of the given triangle.<\/strong><\/strong><\/p>\n<p><strong><strong>23. A chord of a circle of radius 14 cm subtends an angle of 12<\/strong><\/strong><strong><strong>0\u00b0 at the centre. Find the area of the corresponding minor segment of the circle. <img decoding=\"async\" style=\"height: 45px; width: 189px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image040.png\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>24. An open metal bucket is in the shape of a frustum of a cone of height 21 cm with radii of the lower and upper ends as 10 cm and 20 cm respectively. Find the cost of milk which can completely fill the bucket at Rs. Per little. \u00a0<img decoding=\"async\" style=\"height: 45px; width: 89px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image043.png\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>25. Point P (x, 4) lies on the line segment joining the points A (-5, 8) and B (4, -10). Find the ratio in which point p divides the line segment AB. Also find the value of x.<\/strong><\/strong><\/p>\n<p><strong><strong>26. Find the area of the quadrilateral ABCD, whose vertices are A(-3, -1), B(-2, -4), C(4, -1) and D (3, 4)<\/strong><\/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><strong>Find the area of the triangle of formed by joining the mid-points of the sides of the triangle whose vertices are A (2, 1), B (4, 3) and C (2, 5).<\/strong><\/strong><\/p>\n<p><strong><strong>27. From the top of a vertical tower, the angle of depression of two cars, in the same straight line with the base of the tower, at an instant are founded to be 45\u00b0 and 60\u00b0. If the cars are 100 m apart of the dice, whose product is 12.<\/strong><\/strong><\/p>\n<p><strong><strong>28. Two dice are rolled once. Find the probability of getting such number on the two dice, whose product is 12.<\/strong><\/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><strong>A box contains 80 discs which are numbered from 1 to 80. If one disc is drawn at random the box, find the probability that it bears a perfect square number.<\/strong><\/strong><\/p>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Section_D\"><\/span><strong><strong> Section D<\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong><strong>Question numbers 29 to 34 carry 4 marks each.<\/strong><\/strong><\/p>\n<p><strong><strong>29. prove that the tangent at\u00a0any point of a circle is perpendicular to the radius through the point of contact.<\/strong><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><strong><strong>30. The first and the last terms of an A.P. are 8 and 350 respectively. If its common difference is 9, how many terms are there and what is their sum?<\/strong><\/strong><\/p>\n<p style=\"text-align: center;\"><strong><strong>OR<\/strong><\/strong><\/p>\n<p><strong><strong>How many multiples of 4 lie between 10 and 250? Also, find their sum.<\/strong><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><strong><strong>31. A train travels 180 km at a uniform speed. If the speed had been 9 km\/hour more, it would have taken 1 hour less for the same journey. Find the speed of the train.<\/strong><\/strong><\/p>\n<p style=\"text-align: center;\"><strong><strong>OR<\/strong><\/strong><\/p>\n<p><strong><strong>Find the roots of the equation <\/strong><\/strong><strong><strong><img decoding=\"async\" style=\"height: 41px; width: 176px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image063.png\" \/><\/strong><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><strong><strong>32. In figure 6, three circle each of radius 3.5 cm are drawn in the such a way that each of the touches the other two. Find the area enclosed. Between these three circle (shaded region). <img decoding=\"async\" style=\"height: 45px; width: 89px;\" src=\" https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image043.png\" \/><\/strong><\/strong><br \/>\n<strong><strong><img decoding=\"async\" id=\"Picture 6\" style=\"height: 170px; width: 195px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/lyp\/10\/maths\/2011\/set2\/image068.png\" \/><\/strong><\/strong><\/p>\n<p><strong><strong>33. Water is flowing at the rate of 15km\/hour through a pipe of diameter 14 cm into a cuboidal pond which is 50m long and 44m wide. In what time will the level of water in the pond rise by 21 cm?<\/strong><\/strong><\/p>\n<p><strong><strong>34. The angle of elevation of the top of a vertical tower from a point on the ground is 60\u00b0. From another point 10 m vertically above the first, its angle of elevation is 30\u00b0. Find the height of the tower.<\/strong><\/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><b>.<\/b><\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Question_Paper_2011_class_10_Mathematics\"><\/span>CBSE Question Paper 2011 class 10 Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Download class 10 Mathematics question paper with solution from best CBSE App the myCBSEguide. CBSE class 10 Mathematics paper 2011 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.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Previous_Year_Question_Paper_for_class_10_in_PDF\"><\/span>Previous Year Question Paper for class 10 in PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>question papers 2019, 2018, 2017, 2016, 2015, 2014, 2013, 2012, 2011, 2010, 2009, 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-10-mathematics\/1202\/cbse-last-year-papers\/3\/\"><strong>Mathematics<\/strong><\/a><\/li>\n<li><strong><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-10-science\/1176\/cbse-last-year-papers\/3\/\">Science<\/a><\/strong><\/li>\n<li><strong><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-10-social-science\/1896\/cbse-last-year-papers\/3\/\">Social Science<\/a><\/strong><\/li>\n<li><strong><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-10-english-communicative\/1901\/cbse-last-year-papers\/3\/\">English Communicative<\/a><\/strong><\/li>\n<li><strong><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-10-english-language-and-literature\/1903\/cbse-last-year-papers\/3\/\">English Language and Literature<\/a><\/strong><\/li>\n<li><strong><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-10-hindi-course-a\/1905\/cbse-last-year-papers\/3\/\">Hindi Course-A<\/a><\/strong><\/li>\n<li><strong><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-10-hindi-course-b\/1907\/cbse-last-year-papers\/3\/\">Hindi Course-B<\/a><\/strong><\/li>\n<li><strong><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-10\/1175\/\">Other Subjects<\/a><\/strong><\/li>\n<\/ul>\n<p>To download CBSE Question Paper class 10 Mathematics, Science, Social Science, English Communicative, English Language and Literature, Hindi Course A, Hindi Course B, and Other subjects; do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>CBSE Question Paper 2011 class 10 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2011. 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 2011 class 10 Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/cbse-question-paper-2011-class-10-mathematics\/\" aria-label=\"More on CBSE Question Paper 2011 class 10 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":[1346,1014,1347],"tags":[1042,1527,438,1659,80,321,1566,1631],"class_list":["post-23429","post","type-post","status-publish","format-standard","hentry","category-cbse","category-cbse-question-papers","category-mathematics","tag-cbse-class-10-mathematics","tag-cbse-question-paper","tag-class-10","tag-last-year-paper","tag-last-year-papers","tag-mathematics","tag-previous-question-paper","tag-ten-year-questions-papers"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>CBSE Question Paper 2011 class 10 Mathematics<\/title>\n<meta name=\"description\" content=\"CBSE Question Paper 2011 class 10 Mathematics\u00a0conducted by Central Board of Secondary Education, New Delhi in the month of March 2011\" 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