{"id":561221,"date":"2021-12-10T11:44:24","date_gmt":"2021-12-10T11:44:24","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=561221"},"modified":"2021-12-23T16:29:28","modified_gmt":"2021-12-23T16:29:28","slug":"cbse-class-12-maths-answer-key-2021-2022","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/cbse-class-12-maths-answer-key-2021-2022\/","title":{"rendered":"CBSE Class 12 Maths Answer Key 2021-2022"},"content":{"rendered":"\n<p><strong>CBSE Class 12th Maths Answer Key 2021-22<\/strong>&nbsp;\u2013 CBSE has conducted the class 12 mathematics exam on December 6, 2021, from 11:30 AM to 1:00 PM. Students can check CBSE Class 12 Maths question paper with answers from this page.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background\" href=\"https:\/\/www.indcareer.com\/schools\/cbse-class-12-answer-key-2021-22\/\" style=\"border-radius:8px;background-color:#2da3d6\">CBSE Class 12 Answer Keys 2021-2022<\/a><\/div>\n<\/div>\n\n\n\n<p><strong>Ques.&nbsp;<\/strong>A relation R is defined on N Which of the following is the reflexive relation?<br><strong>Ans.<\/strong>&nbsp;Correct option is (c)<\/p>\n\n\n\n<p><strong>Ques.&nbsp;<\/strong>A function f R \u2014\u2014&gt; R defined by f(x) = 4x+3 cosx is<br><strong>Ans.&nbsp;<\/strong>Neither one-one nor onto<\/p>\n\n\n\n<p><strong>Ques.&nbsp;<\/strong>If y = cot<sup>-1<\/sup>x, x&lt;0, then<br><strong>Ans.&nbsp;<\/strong>x\/2 &lt;y&lt;x<\/p>\n\n\n\n<p><strong>Ques.&nbsp;<\/strong>The number of function defined from (1,2,3,4,5) \u2014&gt; (a,b) which are one-one is:<br><strong>Ans.&nbsp;<\/strong>0<\/p>\n\n\n\n<p><strong>Ques.&nbsp;<\/strong>If A = [4,2 x -1,1], then (A-2I) (A-3I) is equal to<br><strong>Ans.&nbsp;<\/strong>0<\/p>\n\n\n\n<p><strong>Ques.&nbsp;<\/strong>If P is a 3\u00d73 matrix such that P = 2P+1, where P is the transpose of P, then<br><strong>Ans.&nbsp;<\/strong>P = -I<\/p>\n\n\n\n<p><strong>Ques.&nbsp;<\/strong>If order of matrix A is 2\u00d73, of matrix B is 3\u00d72, and matrix C is 3\u00d73, then which one of the following is&nbsp;<strong>not&nbsp;<\/strong>defined?<br><strong>Ans.&nbsp;<\/strong>C(A+B\u2019)<\/p>\n\n\n\n<p><strong>Ques.&nbsp;<\/strong>If A = [a,2 x 2,a] and |A<sup>3<\/sup>| = 27, then the value of a is<br><strong>Ans.&nbsp;<\/strong>\u00b1\u221a7<\/p>\n\n\n\n<p><strong>Ques.&nbsp;<\/strong>The function f(x) = (x) is the greatest integer function that is less than or equal to x, is continuous at<br><strong>Ans.&nbsp;<\/strong>15<\/p>\n\n\n\n<p><strong>Ques.&nbsp;<\/strong>If y = tan<sup>-1<\/sup>(e<sup>2x<\/sup>), then dy\/dx is equal to<br><strong>Ans.&nbsp;<\/strong>2e<sup>2x<\/sup>&nbsp;\/ 1+e<sup>4x<\/sup><\/p>\n\n\n\n<p><strong>Ques.&nbsp;<\/strong>If y<sup>2<\/sup>(2-x) = x<sup>3<\/sup>, then (dy\/dx)<sub>(1,1)<\/sub>&nbsp;is equal to<br><strong>Ans.&nbsp;<\/strong>2<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The angle between the tangents to the curve y=x2-5x+6 at the points (2,0) and (3,0)<br><strong>Ans.<\/strong>&nbsp;2<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The interval in which function y=x3+6\u00d72+6 is increasing, is:<br><strong>Ans.<\/strong>&nbsp;(-,-4)(0,)<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The value of x for which (x-x2) is maximum, is:<br><strong>Ans.<\/strong>&nbsp;\u00bd<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;If the corner points of the feasible region of LPP are (0,3), (3,2) and (0,5), then the minimum value of Z=11x+7y is:<br><strong>Ans.<\/strong>&nbsp;21<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The number of solutions of the system of inequations x+2y3, 3x+4y12, x0, y1 is:<br><strong>Ans.<\/strong>&nbsp;0<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The number of equivalence relations in the set {1,2,3} containing the elements (1,2) and (2,1) is:<br><strong>Ans.<\/strong>&nbsp;2<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;Let f: RR be defined by f(x)=1x, for all xR. Then, f is:<br><strong>Ans.<\/strong>&nbsp;not defined<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The function f:NN is defined by f(n)=n+12, if n is odd and n2, if n is evenThe function f is:<br><strong>Ans.<\/strong>&nbsp;onto but not one-one.<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The value of sin-1cos 135 is:<br><strong>Ans.&nbsp;<\/strong>-10<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;If sin-1x&gt;cos-1x, then x should lie in the interval:<br><strong>Ans.<\/strong>&nbsp;12,1<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;If A=cos -sin&nbsp; &nbsp; sin&nbsp; &nbsp; cos and A+A\u2019=I, then the value of is:<br><strong>Ans.<\/strong>&nbsp;3<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The determinant y+k, y, y, y, y+k, y, y,y,y+k is equal to:<\/p>\n\n\n\n<p><strong>Ques.&nbsp;<\/strong>If A=[1,-2,4,2,-1,3,4,2,0] is the adjoint of a square matrix B, the B-1 is equal to:<br><strong>Ans.<\/strong>&nbsp;12A<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;If A=[1,-1,1,1,-1,1,1,-1,1], then A5-A4-A3+A2 is equal to:<br><strong>Ans.<\/strong>&nbsp;0<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;If y=e-x, then d2ydx2 is equal to:<br><strong>Ans.<\/strong>&nbsp;y<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;If x=t2+1,y=2at, then d2ydx2 at t=a is:<br><strong>Ans.<\/strong>&nbsp;-12a2<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The function f(x)={x2 for x&lt;1 and 2-x for x1} is:<br><strong>Ans.<\/strong>&nbsp;not differentiable at x=1<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The curve x2-xy+y=27 has tangents parallel to x-axis at:<br><strong>Ans.<\/strong>&nbsp;(3,6) and (-3,-6)<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;A wire of length 20 cm is bent in the form of a sector of a circle. The maximum area that can be enclosed by the wire is:<br><strong>Ans.&nbsp;<\/strong>25 sq cm<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The function (x-sinx) decreases for:<br><strong>Ans.<\/strong>&nbsp;no value of x<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;If is the angle of intersection between the curves y2=4ax and ay=2x2at (a,2a), the the value of tan is:<br><strong>Ans.<\/strong>&nbsp;3\/5<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The maximum value of Z=3x+4y subject to the constraints x0,<br><strong>Ans.<\/strong>&nbsp;4<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The feasible region of an LPP is given in the following figure. Then, the constraints of the LPP are x0, y0 and<br><strong>Ans.<\/strong>&nbsp;2x+y104 and x+2y76<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;If the minimum value of an objective function Z=ax+by occurs at two points (3,4) and (4,3) then:<br><strong>Ans.<\/strong>&nbsp;a=b<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;For the following LPP, Maximise Z=3x+4y subject to constraints x-y-1, x3, x0, y0<br><strong>Ans.<\/strong>&nbsp;25<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;A relation r is defined on Z as: aRb if and only a2-7ab+6b2=0. Then, R is:<br><strong>Ans.<\/strong>&nbsp;Reflexive but not symmetric<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The value of 1!,2!,3*3!, 2*2!, 3*3!,4*4!,3!,4!,5! is :<br><strong>Ans.<\/strong>&nbsp;-24<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;If 1, -tan, tan, 1[1, tan, -tan, 1]-1=[a,-b,b,a], then:<br><strong>Ans.<\/strong>&nbsp;a=cos 2,b=sin 2<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The normal to the curve 3y=6x-5\u00d73 at the point (1,\u2153) passes through the point:<br><strong>Ans.<\/strong>&nbsp;(3,1)<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;If y=sin (2sin-1x), then (1-x2)y2 is equal to:<br><strong>Ans.<\/strong>&nbsp;-xy1-4y<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The volume (V) of the casted half cylinder will be:<br><strong>Ans.<\/strong>&nbsp;12r2h<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The total surface area (S) of the casted half cylinder will be:<br><strong>Ans.<\/strong>&nbsp;rh+r2+2rh<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The volume (V) of the casted half cylinder will be:<br><strong>Ans.<\/strong>&nbsp;12r2h<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The total surface area (S) of the casted half cylinder will be:<br><strong>Ans.<\/strong>&nbsp;rh+r2+2rh<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The total surface area S can be expressed in terms V and r as:<br><strong>Ans.<\/strong>&nbsp;r+2V(+2)r<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;For the given half cylinder of volume V, the total surface area S is minimum, when:<br><strong>Ans.<\/strong>&nbsp;(+2)V=2r3<\/p>\n\n\n\n<p><strong>Ques.<\/strong>&nbsp;The ratio of h:2r for S to be minimum will be equal to:<br><strong>Ans.<\/strong>&nbsp;:+2<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\">FAQs<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1639136210457\"><strong class=\"schema-faq-question\"><strong>When is the CBSE class 12 Term 1 Mathematics examination 2021-22?<\/strong><\/strong> <p class=\"schema-faq-answer\">The CBSE Class 12 term 1 mathematics examination is on 6th December 2021.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1639136225430\"><strong class=\"schema-faq-question\"><strong>What is total weightage of Term 1 mathematics examination?<\/strong><\/strong> <p class=\"schema-faq-answer\">The total evaluation is of 50 marks out which 40 will be assessed via MCQ assessment and 10 will be assessed via internal marking.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1639136244155\"><strong class=\"schema-faq-question\"><strong>How many total units have been asked in the Class 12th term 1 mathematics examination and which unit carries the highest weightage?<\/strong><\/strong> <p class=\"schema-faq-answer\">CBSE has decided to include 4 units in the class 12 term 1 mathematics examination. Calculus carries 17 marks and is of the highest weightage.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1639136264781\"><strong class=\"schema-faq-question\"><strong>When will the CBSE class 12th term 1 results come out?<\/strong><\/strong> <p class=\"schema-faq-answer\">The CBSE class 12th term 1 results will come out in the last week of December 2021.<\/p> <\/div> <\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Read More<\/h2>\n\n\n\n<ul class=\"wp-block-yoast-seo-related-links\"><li><a href=\"https:\/\/www.indcareer.com\/schools\/cbse-class-10-exam-date-sheet\/\">CBSE Class 10 Exam Date Sheet<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/cbse-date-sheet\/\">CBSE Class 12 Exam Date Sheet<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/goa-board-time-table\/\">Goa Board Time Table<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/cbse-class-12-geography-answer-key-2021-2022\/\">CBSE Class 12 Geography Answer Key 2021-2022<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/cbse-class-12-physical-education-answer-key-2021-2022\/\">CBSE Class 12 Physical Education Answer Key 2021-2022<\/a><\/li><\/ul>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>CBSE Class 12th Maths Answer Key 2021-22&nbsp;\u2013 CBSE has conducted the class 12 mathematics exam on December 6, 2021, from 11:30 AM to 1:00 PM. Students can check CBSE Class 12 Maths question paper with answers from this page. Ques.&nbsp;A relation R is defined on N Which of the following is the reflexive relation?Ans.&nbsp;Correct option [&hellip;]<\/p>\n","protected":false},"author":294,"featured_media":564369,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[926,25],"tags":[],"boards":[1181],"class_list":["post-561221","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-answer-key","category-class-12","boards-cbse","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.1.1) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>CBSE Class 12 Maths Answer Key 2021-2022 - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"CBSE Class 12 Maths Answer Key 2021-2022 Central Board of Secondary Education (CBSE) Answer Key With Question Paper - IndCareer Schools\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.indcareer.com\/schools\/cbse-class-12-maths-answer-key-2021-2022\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"CBSE Class 12 Maths Answer Key 2021-2022\" \/>\n<meta property=\"og:description\" content=\"CBSE Class 12th Maths Answer Key 2021-22&nbsp;\u2013 CBSE has conducted the class 12 mathematics exam on December 6, 2021, from 11:30 AM to 1:00 PM. Students\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.indcareer.com\/schools\/cbse-class-12-maths-answer-key-2021-2022\/\" \/>\n<meta property=\"og:site_name\" content=\"IndCareer Schools\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/indcareer\" \/>\n<meta property=\"article:published_time\" content=\"2021-12-10T11:44:24+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-12-23T16:29:28+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/CBSE-Class-24-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1600\" \/>\n\t<meta property=\"og:image:height\" content=\"900\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Mukesh Kaple\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@indcareer\" \/>\n<meta name=\"twitter:site\" 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