{"id":41333,"date":"2022-01-29T15:26:45","date_gmt":"2022-01-29T09:56:45","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=41333"},"modified":"2025-07-23T14:59:26","modified_gmt":"2025-07-23T09:29:26","slug":"inverse-trigonometric-functions-class-12-maths-mcqs-pdf","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-material\/maths\/class-12\/inverse-trigonometric-functions-class-12-maths-mcqs-pdf\/","title":{"rendered":"Inverse Trigonometric Functions Class 12 Maths MCQs"},"content":{"rendered":"<p>MCQs for Class 12 Maths Chapter 2: Inverse Trigonometric Functions are provided here with correct answers and detailed solutions. These MCQs cover key concepts such as domain and range restrictions of trigonometric functions, essential for understanding their inverses and behavior graphically. They are aligned with the latest CBSE guidelines for the 2023-2024 board exams, offering valuable preparation material for Class 12 students. Access MCQs for all Class 12 Maths chapters with solutions here.<\/p>\n<h2>Inverse Trigonometric Functions Class 12 Maths MCQs Pdf<\/h2>\n<p><strong>Question 1. Solve for x : {xcos(cot<sup>-1<\/sup> x) + sin(cot<sup>-1<\/sup> x)}<sup>2<\/sup> = \\(\\frac{51}{50}\\)<\/strong><\/p>\n<p>(a) \\(\\frac{1}{\\sqrt{2}}\\)<\/p>\n<p>(b) \\(\\frac{1}{5 \\sqrt{2}}\\)<\/p>\n<p>(c) 2\u221a2<\/p>\n<p>(d) 5\u221a2<\/p>\n<p><strong>Answer:<\/strong> (b) \\(\\frac{1}{5 \\sqrt{2}}\\)<\/p>\n<p><strong>Question 2.<\/strong><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50354355963_4af81f2101_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q32\" width=\"365\" height=\"160\" \/><br \/>\n<strong>Answer:<\/strong> (c) tan<sup>-1<\/sup>(15)<\/p>\n<p><strong>Question 3.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50354355973_30d1ded4ee_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q33\" width=\"264\" height=\"162\" \/><br \/>\n<strong>Answer:<\/strong> (b) \\(\\sqrt{\\frac{3}{76}}\\)<\/p>\n<p><strong>Question 4.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50354355988_49ba93f510_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q34\" width=\"282\" height=\"160\" \/><br \/>\n<strong>Answer:<\/strong> (d) \\(\\frac{\\pi}{4}\\)<\/p>\n<p><strong>Also Refer:<\/strong> <a href=\"https:\/\/infinitylearn.com\/surge\/mcqs\/class-10-maths-areas-related-to-circles\/\"><strong>Areas Related to Circle Class 10 MCQs<\/strong><\/a><\/p>\n<p><strong>Question 5. If sin<sup>-1<\/sup>(x<sup>2<\/sup> \u2013 7x + 12) = n\u03c0, \u2200 n \u2208 I, then x =<\/strong><\/p>\n<p>(a) -2<\/p>\n<p>(b) 4<\/p>\n<p>(c) -3<\/p>\n<p>(d) 5<\/p>\n<p><strong>Answer:<\/strong> (b) 4<\/p>\n<p><strong>Question 6. If cos<sup>-1<\/sup> x + sin<sup>-1<\/sup> x = \u03c0, then the value of x is<\/strong><\/p>\n<p>(a) \\(\\frac{3}{2}\\)<\/p>\n<p>(b) \\(\\frac{1}{\\sqrt{2}}\\)<\/p>\n<p>(c) \\(\\frac{\\sqrt{3}}{2}\\)<\/p>\n<p>(d) \\(\\frac{2}{\\sqrt{3}}\\)<\/p>\n<p><strong>Answer:<\/strong> (c) \\(\\frac{\\sqrt{3}}{2}\\)<\/p>\n<p><strong>Question 7. If sin<sup>-1<\/sup> x \u2013 cos<sup>-1<\/sup> x = \\(\\frac{\\pi}{6}\\), then x =<\/strong><\/p>\n<p>(a) \\(\\frac{1}{2}\\)<\/p>\n<p>(b) \\(\\frac{\\sqrt{3}}{2}\\)<\/p>\n<p>(c) \\(-\\frac{1}{2}\\)<\/p>\n<p>(d) \\(-\\frac{\\sqrt{3}}{2}\\)<\/p>\n<p><strong>Answer:<\/strong> (b) \\(\\frac{\\sqrt{3}}{2}\\)<\/p>\n<p><strong>Question 8. If tan<sup>-1<\/sup> (cot \u03b8) = 2\u03b8, then \u03b8 is equal to<\/strong><\/p>\n<p>(a) \\(\\frac{\\pi}{3}\\)<\/p>\n<p>(b) \\(\\frac{\\pi}{4}\\)<\/p>\n<p>(c) \\(\\frac{\\pi}{6}\\)<\/p>\n<p>(d) None of these<\/p>\n<p><strong>Answer:<\/strong> (c) \\(\\frac{\\pi}{6}\\)<\/p>\n<p><strong>Click Here: <a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-12-syllabus\/\">CBSE Class 12 Syllabus 2024<\/a><\/strong><\/p>\n<p><strong>Question 9. cot(\\(\\frac{\\pi}{4}\\) \u2013 2cot<sup>-1<\/sup> 3) =<\/strong><\/p>\n<p>(a) 7<\/p>\n<p>(b) 6<\/p>\n<p>(c) 5<\/p>\n<p>(d) None of these<\/p>\n<p><strong>Answer:<\/strong> (a) 7<\/p>\n<p><strong>Question 10. If tan<sup>-1<\/sup> 3 + tan<sup>-1<\/sup> x = tan<sup>-1<\/sup> 8, then x =<\/strong><\/p>\n<p>(a) 5\\<\/p>\n<p>(b) \\(\\frac{1}{5}\\)<\/p>\n<p>(c) \\(\\frac{5}{14}\\)<\/p>\n<p>(d) \\(\\frac{14}{5}\\)<\/p>\n<p><strong>Answer:<\/strong> (b) \\(\\frac{1}{5}\\)<\/p>\n<p><strong>Question 11.<\/strong><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355059411_8d96e8fc30_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q1\" width=\"254\" height=\"154\" \/><\/p>\n<p><strong>Answer:<\/strong> (d) \\(-\\frac{\\pi}{6}\\)<\/p>\n<p><strong>Question 12.<\/strong><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355214357_c50baed9a5_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q2\" width=\"243\" height=\"149\" \/><\/p>\n<p><strong>Answer:<\/strong> (b) \\(\\frac{\\pi}{3}\\)<\/p>\n<p><strong>Question 13.<\/strong><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50354355488_656c28e80b_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q3\" width=\"238\" height=\"130\" \/><\/p>\n<p><strong>Answer:<\/strong> (b) \\(\\frac{\\pi}{3}\\)<\/p>\n<p><strong>Question 14.<\/strong><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50354355523_17d27a4154_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q4\" width=\"237\" height=\"154\" \/><\/p>\n<p><strong>Answer:<\/strong> (a) \\(\\frac{\\pi}{4}\\)<\/p>\n<p><strong>Question 15.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355214412_ab2432ee0e_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q5\" width=\"255\" height=\"154\" \/><br \/>\n<strong>Answer:<\/strong> (b) \\(\\frac{3 \\pi}{4}\\)<\/p>\n<p><strong>Question 16.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355059496_d0a5f21fda_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q6\" width=\"241\" height=\"147\" \/><br \/>\n<strong>Answer:<\/strong> (d) \\(\\frac{2 \\pi}{3}\\)<\/p>\n<p><strong>Question 17.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50354355613_fa08b944aa_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q7\" width=\"392\" height=\"162\" \/><br \/>\n<strong>Answer:<\/strong> (a) \\(\\tan ^{2}\\left(\\frac{\\alpha}{2}\\right)\\)<\/p>\n<p><strong>Question 18.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355214487_045b88d907_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q8\" width=\"307\" height=\"146\" \/><br \/>\n<strong>Answer:<\/strong> (b) \\(\\frac{6}{17}\\)<\/p>\n<p><strong>Question 19. If tan<sup>-1<\/sup> (x \u2013 1) + tan<sup>-1<\/sup> x + tan<sup>-1<\/sup> (x + 1) = tan<sup>-1<\/sup> 3x, then the values of x are<\/strong><\/p>\n<p>(a) \\(\\pm \\frac{1}{2}\\)<\/p>\n<p>(b) 0, \\(\\frac{1}{2}\\)<\/p>\n<p>(c) 0, \\(-\\frac{1}{2}\\)<\/p>\n<p>(d) 0, \\(\\pm \\frac{1}{2}\\)<\/p>\n<p><strong>Answer:<\/strong> (d) 0, \\(\\pm \\frac{1}{2}\\)<\/p>\n<p><strong>Question 20. If 6sin<sup>-1<\/sup> (x<sup>2<\/sup> \u2013 6x + 8.5) = \u03c0, then x is equal to<\/strong><\/p>\n<p>(a) 1<\/p>\n<p>(b) 2<\/p>\n<p>(c) 3<\/p>\n<p>(d) 8<\/p>\n<p><strong>Answer:<\/strong> (b) 2<\/p>\n<p><strong>Question 21.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355059871_1a63882817_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q41\" width=\"256\" height=\"158\" \/><br \/>\n<strong>Answer:<\/strong> (d) \\(-\\frac{24}{25}\\)<\/p>\n<p><strong>Question 22. sin<sup>-1 <\/sup>(1 \u2013 x) \u2013 2sin<sup>-1<\/sup> x = \\(\\frac{\\pi}{2}\\)<\/strong><\/p>\n<p>(a) 0<\/p>\n<p>(b) 1\/2<\/p>\n<p>(c) 0, 1\/2<\/p>\n<p>(d) -1\/2<\/p>\n<p><strong>Answer:<\/strong> (a) 0<\/p>\n<p><strong>Question 23. 2tan<sup>-1<\/sup>(cos x) = tan<sup>-1<\/sup>(2cosec x)<\/strong><\/p>\n<p>(a) 0<\/p>\n<p>(b) \u03c0\/3<\/p>\n<p>(c) \u03c0\/4<\/p>\n<p>(d) \u03c0\/2<\/p>\n<p><strong>Answer:<\/strong> (c) \u03c0\/4<\/p>\n<p><strong>Question 24.<\/strong><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355059891_43888700d6_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q44\" width=\"280\" height=\"152\" \/><\/p>\n<p><strong>Answer:<\/strong> (a) \\(\\sqrt{\\frac{x^{2}+1}{x^{2}+2}}\\)<\/p>\n<p><strong>Question 25.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355214847_25c543e33f_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q45\" width=\"256\" height=\"157\" \/><br \/>\n<strong>Answer:<\/strong> (a) \\(\\frac{3 \\pi}{5}\\)<\/p>\n<p><strong>Question 26. The domain of the function defind by f(x) = \\(\\sin ^{-1} \\sqrt{x-1}\\) is<\/strong><\/p>\n<p>(a) [1, 2]\n<p>(b) [-1, 1]\n<p>(c) [0, 1]\n<p>(d) none of these<\/p>\n<p><strong>Answer:<\/strong> (a) [1, 2]\n<p><strong>Question 27. The value of sin (2tan<sup>-1<\/sup> (0.75)) is equal to<\/strong><\/p>\n<p>(a) 0.75<\/p>\n<p>(b) 1.5<\/p>\n<p>(c) 0.96<\/p>\n<p>(d) sin 1.5<\/p>\n<p><strong>Answer:<\/strong> (c) 0.96<\/p>\n<p><strong>Question 28. The value of expression 2 sec<sup>-1<\/sup> 2 + sin<sup>-1<\/sup>(\\(\\frac{1}{2}\\))<\/strong><\/p>\n<p>(a) \\(\\frac{\\pi}{6}\\)<\/p>\n<p>(b) \\(\\frac{5 \\pi}{6}\\)<\/p>\n<p>(c) \\(\\frac{7 \\pi}{6}\\)<\/p>\n<p>(d) 1<\/p>\n<p><strong>Answer:<\/strong> (b) \\(\\frac{5 \\pi}{6}\\)<\/p>\n<p><strong>Question 29.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355059356_dcfd321d28_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q49\" width=\"249\" height=\"161\" \/><br \/>\n<strong>Answer:<\/strong> (c) \\(\\frac{24}{25}\\)<\/p>\n<p><strong>Question 30. The value of the expression \\(\\tan \\left(\\frac{1}{2} \\cos ^{-1} \\frac{2}{\\sqrt{3}}\\right)\\)<\/strong><\/p>\n<p>(a) 2 + \u221a5<\/p>\n<p>(b) \u221a5 \u2013 2<\/p>\n<p>(c) \\(\\frac{\\sqrt{5}+2}{2}\\)<\/p>\n<p>(d) 5 + \u221a2<\/p>\n<p><strong>Answer:<\/strong> (b) \u221a5 \u2013 2<\/p>\n<p><strong>Question 31.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355059726_2a83d5c312_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q21\" width=\"235\" height=\"149\" \/><br \/>\n<strong>Answer:<\/strong> (a) \\(\\frac{6}{17}\\)<\/p>\n<p><strong>Question 32.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50354355868_a4d928c204_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q22\" width=\"308\" height=\"150\" \/><br \/>\n<strong>Answer:<\/strong> (d) none of these<\/p>\n<p><strong>Question 33.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50354355903_e51799cc3e_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q23\" width=\"251\" height=\"121\" \/><br \/>\n<strong>Answer:<\/strong> (b) 0<\/p>\n<p><strong>Question 34.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355059796_2a7906cfc7_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q24\" width=\"297\" height=\"113\" \/><br \/>\n<strong>Answer:<\/strong> (d) \\(\\frac{1}{\\sqrt{2}} \\leq x \\leq 1\\)<\/p>\n<p><strong>Question 35. cos<sup>-1<\/sup>[cos(2cot<sup>-1<\/sup>(\u221a2 \u2013 1))] = ______<\/strong><\/p>\n<p>(a) \u221a2 \u2013 1<\/p>\n<p>(b) 1 + \u221a2<\/p>\n<p>(c) \\(\\frac{\\pi}{4}\\)<\/p>\n<p>(d) \\(\\frac{3 \\pi}{4}\\)<\/p>\n<p><strong>Answer:<\/strong> (d) \\(\\frac{3 \\pi}{4}\\)<\/p>\n<p><strong>Question 36. The range of sin<sup>-1<\/sup> x + cos<sup>-1<\/sup> x + tan<sup>-1<\/sup> x is<\/strong><\/p>\n<p>(a) [0, \u03c0]\n<p>(b) \\(\\left[\\frac{\\pi}{4}, \\frac{3 \\pi}{4}\\right]\\)<\/p>\n<p>(c) (0, \u03c0)<\/p>\n<p>(d) \\(\\left[0, \\frac{\\pi}{2}\\right]\\)<\/p>\n<p><strong>Answer:<\/strong> (b) \\(\\left[\\frac{\\pi}{4}, \\frac{3 \\pi}{4}\\right]\\)<\/p>\n<p><strong>Question 37.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355214767_72a9e00a37_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q27\" width=\"294\" height=\"146\" \/><br \/>\n<strong>Answer:<\/strong> (c) \\(\\frac{\\pi}{4}\\)<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td style=\"text-align: center;\" colspan=\"2\"><strong>Related Links<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-12-physical-education-syllabus\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE Class 12 Physical Education Syllabus<\/strong><\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-12-physics-syllabus\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE Class 12 Physics Syllabus<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-12-chemistry-syllabus\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE Class 12 Chemistry <\/strong><strong>Syllabus<\/strong><\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-12-math-syllabus\/\"><strong>CBSE Class 12 Math Syllabus<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-12-biology-syllabus\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE Class 12 Biology Syllabus<\/strong><\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-12-english-syllabus\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE Class 12 English Syllabus<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-12-computer-science-syllabus\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE Class 12 Computer Science Syllabus<\/strong><\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-12-hindi-syllabus\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE Class 12 Hindi Syllabus<\/strong><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p><strong>Question 38. Find the value of sec<sup>2<\/sup> (tan<sup>-1<\/sup> 2) + cosec<sup>2<\/sup> (cot<sup>-1<\/sup> 3)<\/strong><\/p>\n<p>(a) 12<\/p>\n<p>(b) 5<\/p>\n<p>(c) 15<\/p>\n<p>(d) 9<\/p>\n<p><strong>Answer:<\/strong> (c) 15<\/p>\n<p><strong>Question 39.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355214782_67ee07d9b8_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q29\" width=\"315\" height=\"148\" \/><br \/>\n<strong>Answer:<\/strong> (d) \\(\\frac{2}{x}\\)<\/p>\n<p><strong>Question 40. The equation sin<sup>-1<\/sup> x \u2013 cos<sup>-1<\/sup> x = cos<sup>-1<\/sup>(\\(\\frac{\\sqrt{3}}{2}\\)) has<\/strong><\/p>\n<p>(a) unique solution<\/p>\n<p>(b) no solution<\/p>\n<p>(c) infinitely many solution<\/p>\n<p>(d) none of these<\/p>\n<p><strong>Answer:<\/strong> (a) unique solution<\/p>\n<p><strong>Question 41.<\/strong> 3 tan<sup>-1<\/sup> a is equal to<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355059561_782c9ff8a4_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q11\" width=\"328\" height=\"123\" \/><br \/>\n<strong>Answer:<\/strong> (d) \\(\\tan ^{-1}\\left(\\frac{3 a-a^{3}}{1-3 a^{2}}\\right)\\)<\/p>\n<p><strong>Question 42.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355214557_3e3ea9a443_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q12\" width=\"360\" height=\"148\" \/><br \/>\n<strong>Answer:<\/strong> (d) \\(\\frac{1}{5}\\)<\/p>\n<p><strong>Question 43. The equation 2cos<sup>-1 <\/sup>x + sin<sup>-1 <\/sup>x = \\(\\frac{11 \\pi}{6}\\) has<\/strong><\/p>\n<p>(a) no solution<\/p>\n<p>(b) only one solution<\/p>\n<p>(c) two solutions<\/p>\n<p>(d) three solutions<\/p>\n<p><strong>Answer:<\/strong> (a) no solution<\/p>\n<p><strong>Question 44.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355059621_3447301923_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q14\" width=\"392\" height=\"180\" \/><br \/>\n<strong>Answer:<\/strong> (d) x<\/p>\n<p><strong>Question 45. If tan<sup>-1<\/sup> 2x + tan<sup>-1<\/sup> 3x = \\(\\frac{\\pi}{4}\\), then x is<\/strong><\/p>\n<p>(a) \\(\\frac{1}{6}\\)<\/p>\n<p>(b) 1<\/p>\n<p>(c) (\\(\\frac{1}{6}\\), -1)<\/p>\n<p>(d) none of these<\/p>\n<p><strong>Answer:<\/strong> (a) \\(\\frac{1}{6}\\)<\/p>\n<p><strong>Question 46.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355214677_1377272790_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q16\" width=\"311\" height=\"153\" \/><br \/>\n<strong>Answer:<\/strong> (c) \\(\\sqrt{\\frac{x^{2}+1}{x^{2}+2}}\\)<\/p>\n<p><strong>Question 47.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355214697_42658b348d_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q17\" width=\"348\" height=\"108\" \/><\/p>\n<p><strong>Answer:<\/strong> (a) \\(\\sqrt{a b}\\)<\/p>\n<p><strong>Question 48. If tan<sup>-1<\/sup> x \u2013 tan<sup>-1<\/sup> y = tan<sup>-1<\/sup> A, then A is equal to<\/strong><\/p>\n<p>(a) x \u2013 y<\/p>\n<p>(b) x + y<\/p>\n<p>(c) \\(\\frac{x-y}{1+x y}\\)<\/p>\n<p>(d) \\(\\frac{x+y}{1-x y}\\)<\/p>\n<p><strong>Answer:<\/strong> (c) \\(\\frac{x-y}{1+x y}\\)<\/p>\n<p><strong>Question 49.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355059706_7183c46065_o.png\" alt=\"Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions Q19\" width=\"390\" height=\"158\" \/><\/p>\n<p><strong>Answer:<\/strong> (c) \\(\\pm \\sqrt{\\frac{5}{2}}\\)<\/p>\n<p><strong>Question 50. The value of cot<sup>-1<\/sup> 9 + cosec<sup>-1<\/sup>(\\(\\frac{\\sqrt{41}}{4}\\)) is given by<\/strong><\/p>\n<p>(a) 0<\/p>\n<p>(b) \\(\\frac{\\pi}{4}\\)<\/p>\n<p>(c) tan<sup>-1<\/sup> 2<\/p>\n<p>(d) \\(\\frac{\\pi}{2}\\)<\/p>\n<p><strong>Answer:<\/strong> (b) \\(\\frac{\\pi}{4}\\)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>MCQs for Class 12 Maths Chapter 2: Inverse Trigonometric Functions are provided here with correct answers and detailed solutions. These [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Class 12 Maths","_yoast_wpseo_title":"Class 12 Maths Chapter 2 Inverse Trigonometric Functions MCQs","_yoast_wpseo_metadesc":"Get and Download Class 12 Maths Chapter 2 Inverse Trigonometric Functions MCQs on Infinity learn\"","custom_permalink":"study-material\/maths\/class-12\/inverse-trigonometric-functions-class-12-maths-mcqs-pdf\/"},"categories":[93,13,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Class 12 Maths Chapter 2 Inverse Trigonometric Functions MCQs<\/title>\n<meta name=\"description\" content=\"Get and Download Class 12 Maths Chapter 2 Inverse Trigonometric Functions MCQs on Infinity learn&quot;\" \/>\n<meta name=\"robots\" content=\"index, follow, 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