{"id":41362,"date":"2022-02-18T12:55:13","date_gmt":"2022-02-18T07:25:13","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=41362"},"modified":"2025-07-31T17:08:38","modified_gmt":"2025-07-31T11:38:38","slug":"maths-mcqs-for-class-12-with-answers-chapter-4-determinants","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/","title":{"rendered":"Maths MCQs for Class 12 with Answers Chapter 4 Determinants"},"content":{"rendered":"

Class 12 Maths Chapter 4 Determinants MCQs are designed to assist students in scoring well in the CBSE board exam 2023-24<\/strong><\/a>. These multiple-choice questions align with the new CBSE guidelines for the academic year 2023-24, covering all topics and subtopics of Chapter 4 Determinants from the NCERT textbook<\/strong><\/a>. Practicing these MCQs will help students prepare effectively for their exams. Access all Class 12 Maths MCQs for every chapter at Infinitylearn.com.<\/p>\n

Determinants Class 12 Maths MCQs Pdf<\/h2>\n

Question 1.<\/strong>
\n\"Maths
\nAnswer: B<\/strong><\/p>\n

Question 2.<\/strong>
\n\"Maths<\/p>\n

Answer: B<\/strong><\/p>\n

Question 3. If A is a square matrix of order 3 and |A| = 5, then the value of |2A\u2032| is<\/strong><\/p>\n

(a) -10<\/p>\n

(b) 10<\/p>\n

(c) -40<\/p>\n

(d) 40<\/p>\n

Answer: D<\/strong><\/p>\n

Question 4. Find the value of x for which the matrix <\/strong><\/p>\n

(a) 0, 1<\/p>\n

(b) 1, 3<\/p>\n

(c) 0, 3<\/p>\n

(d) 3, 2<\/p>\n

Answer: C<\/strong><\/p>\n

Question 5.
\n\"Maths<\/p>\n

Answer: B<\/p>\n

Question 6. The area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units. The value of k will be<\/strong><\/p>\n

(a) 9<\/p>\n

(b) 3<\/p>\n

(c) -9<\/p>\n

(d) 6<\/p>\n

Answer: (b) <\/strong><\/p>\n

Question 7. The area of a triangle with vertices (\u20133, 0), (3, 0) and (0, k) is 9 sq. units. The value of k will be<\/strong><\/p>\n

(a) 9<\/p>\n

(b) 3<\/p>\n

(c) -9<\/p>\n

(d) 6<\/p>\n

Answer: (b)<\/strong><\/p>\n

Question 8.
\n\"Maths
\n(a) 0<\/p>\n

(b) -1<\/p>\n

(c) 2<\/p>\n

(d) 3<\/p>\n

Answer: (a)<\/strong><\/p>\n

Question 9.<\/strong>
\n\"Maths<\/p>\n

Answer: A<\/strong><\/p>\n

Question 10. Given that A is a square matrix of order 3 and |A| = -4, then |adj A| is equal to<\/strong><\/p>\n

(a) -4<\/p>\n

(b) 4<\/p>\n

(c) -16<\/p>\n

(d) 16<\/p>\n

Answer: D<\/strong><\/p>\n

Question 11. Which of the following is correct?<\/strong><\/p>\n

(a) Determinant is a square matrix.<\/p>\n

(b) Determinant is a number associated with a matrix.<\/p>\n

(c) Determinant is a number associated with a square matrix.<\/p>\n

(d) None of these<\/p>\n

Answer: C<\/strong><\/p>\n

Question 12. Compute (AB)-1<\/sup>, If<\/strong>
\n\"Maths<\/p>\n

Answer: A<\/strong><\/p>\n

Question 13.<\/strong>
\n\"Maths<\/p>\n

Answer: A<\/strong><\/p>\n

Question 14.<\/strong>
\n\"Maths<\/p>\n

Answer: (a)<\/strong><\/p>\n

Question 15.
\n\"Maths<\/p>\n

Answer: (b)<\/strong><\/p>\n

Question 16. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x.<\/strong><\/p>\n

(a) 2<\/p>\n

(b) 3<\/p>\n

(c) 4<\/p>\n

(d) 5<\/p>\n

Answer: (d) 5<\/strong><\/p>\n

Question 17. Using determinants, find the equation of the line joining the points (1, 2) and (3, 6).<\/strong><\/p>\n

(a) y = 2x<\/p>\n

(b) x = 3y<\/p>\n

(c) y = x<\/p>\n

(d) 4x \u2013 y = 5<\/p>\n

Answer: (a)<\/strong><\/p>\n

Question 18. If A is an invertible matrix of order 2, then det (A\u20131<\/sup>) is equal to<\/strong><\/p>\n

(a) det (A)<\/p>\n

(b) 1\/det (A)<\/p>\n

(c) 1<\/p>\n

(d) 0<\/p>\n

Answer: B<\/strong><\/p>\n

Question 19.<\/strong><\/p>\n

\"Maths<\/p>\n

Answer: (b)<\/strong><\/p>\n

Question 20.<\/strong>
\n\"Maths<\/p>\n

Answer: (c)<\/strong><\/p>\n

Question 21.<\/strong>
\n\"Maths<\/p>\n

Answer: A<\/strong><\/p>\n

Question 22. If for the non-singular matrix A, A2<\/sup> = I, then find A-1<\/sup>.<\/strong><\/p>\n

(a) A<\/p>\n

(b) I<\/p>\n

(c) O<\/p>\n

(d) None of these<\/p>\n

Answer: A<\/strong><\/p>\n

Question 23. If the equation a(y + z) = x, b(z + x) = y, c(x + y) = z have non-trivial solutions then the value of \\(\\frac{1}{1+a}+\\frac{1}{1+b}+\\frac{1}{1+c}\\) is<\/strong><\/p>\n

(a) 1<\/p>\n

(b) 2<\/p>\n

(c) -1<\/p>\n

(d) -2<\/p>\n

Answer: (b)<\/strong><\/p>\n

Question 24. A non-trivial solution of the system of equations x + \u03bby + 2z = 0, 2x + \u03bbz = 0, 2\u03bbx \u2013 2y + 3z = 0 is given by x : y : z =<\/strong><\/p>\n

(a) 1 : 2 : -2<\/p>\n

(b) 1 : -2 : 2<\/p>\n

(c) 2 : 1 : 2<\/p>\n

(d) 2 : 1 : -2<\/p>\n

Answer: (d)<\/strong><\/p>\n

Question 25. If 4x + 3y + 6z = 25, x + 5y + 7z = 13, 2x + 9y + z = 1, then z = ________<\/strong><\/p>\n

(a) 1<\/p>\n

(b) 3<\/p>\n

(c) -2<\/p>\n

(d) 2<\/p>\n

Answer: (d)<\/strong><\/p>\n

Question 26. If the equations 2x + 3y + z = 0, 3x + y \u2013 2z = 0 and ax + 2y \u2013 bz = 0 has non-trivial solution, then<\/strong><\/p>\n

(a) a \u2013 b = 2<\/p>\n

(b) a + b + 1 = 0<\/p>\n

(c) a + b = 3<\/p>\n

(d) a \u2013 b \u2013 8 = 0<\/p>\n

Answer: (a)<\/strong><\/p>\n

Question 27. Solve the following system of equations x \u2013 y + z = 4, x \u2013 2y + 2z = 9 and 2x + y + 3z = 1.<\/strong><\/p>\n

(a) x = -4, y = -3, z = 2<\/p>\n

(b) x = -1, y = -3, z = 2<\/p>\n

(c) x = 2, y = 4, z = 6<\/p>\n

(d) x = 3, y = 6, z = 9<\/p>\n

Answer: (b)<\/strong><\/p>\n

Question 28. If the system of equations x + ky \u2013 z = 0, 3x \u2013 ky \u2013 z = 0 & x \u2013 3y + z = 0 has non-zero solution, then k is equal to<\/strong><\/p>\n

(a) -1<\/p>\n

(b) 0<\/p>\n

(c) 1<\/p>\n

(d) 2<\/p>\n

Answer: (c) <\/strong><\/p>\n

Question 29. Find the area of the triangle with vertices P(4, 5), Q(4, -2) and R(-6, 2).<\/strong><\/p>\n

(a) 21 sq. units<\/p>\n

(b) 35 sq. units<\/p>\n

(c) 30 sq. units<\/p>\n

(d) 40 sq. units<\/p>\n

Answer: (b)<\/strong><\/p>\n

Question 30. If the points (a1<\/sub>, b1<\/sub>), (a2<\/sub>, b2<\/sub>) and(a1<\/sub> + a2<\/sub>, b1<\/sub> + b2<\/sub>) are collinear, then<\/strong><\/p>\n

(a) a1<\/sub>b2<\/sub> = a2<\/sub>b1<\/sub><\/p>\n

(b) a1<\/sub> + a2<\/sub> = b1<\/sub> + b2<\/sub><\/p>\n

(c) a2<\/sub>b2<\/sub> = a1<\/sub>b1<\/sub><\/p>\n

(d) a1<\/sub> + b1<\/sub> = a2<\/sub> + b2<\/sub><\/p>\n

Answer: (a)<\/strong><\/p>\n

Also Read: CBSE Class 12 Maths Syllabus<\/a><\/strong><\/p>\n

Question 31. If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k.<\/strong><\/p>\n

(a) 4<\/p>\n

(b) 7\/140<\/p>\n

(c) 47<\/p>\n

(d) 40\/7<\/p>\n

Answer: (d) <\/strong><\/p>\n

Question 32. Find the area of the triangle whose vertices are (-2, 6), (3, -6) and (1, 5).<\/strong><\/p>\n

(a) 30 sq. units<\/p>\n

(b) 35 sq. units<\/p>\n

(c) 40 sq. units<\/p>\n

(d) 15.5 sq. units<\/p>\n

Answer: (d)<\/strong><\/p>\n

\n\n\n\n\n\n\n\n
Related Links<\/strong><\/td>\n<\/tr>\n
CBSE Class 12 Physical Education Syllabus<\/strong><\/a><\/td>\nCBSE Class 12 Physics Syllabus<\/strong><\/a><\/td>\n<\/tr>\n
CBSE Class 12 Chemistry <\/strong>Syllabus<\/strong><\/a><\/td>\nCBSE Class 12 Math Syllabus<\/strong><\/td>\n<\/tr>\n
CBSE Class 12 Biology Syllabus<\/strong><\/a><\/td>\nCBSE Class 12 English Syllabus<\/strong><\/a><\/td>\n<\/tr>\n
CBSE Class 12 Computer Science Syllabus<\/strong><\/a><\/td>\nCBSE Class 12 Hindi Syllabus<\/strong><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Class 12 Maths Chapter 4 Determinants MCQs are designed to assist students in scoring well in the CBSE board exam […]<\/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 4 Determinants MCQs","_yoast_wpseo_metadesc":"Check and Download Maths MCQs for Class 12 with Answers Chapter 4 Determinants on Infinitylearn.com","custom_permalink":"study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/"},"categories":[13,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"\nClass 12 Maths Chapter 4 Determinants MCQs<\/title>\n<meta name=\"description\" content=\"Check and Download Maths MCQs for Class 12 with Answers Chapter 4 Determinants on Infinitylearn.com\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Class 12 Maths Chapter 4 Determinants MCQs\" \/>\n<meta property=\"og:description\" content=\"Check and Download Maths MCQs for Class 12 with Answers Chapter 4 Determinants on Infinitylearn.com\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-02-18T07:25:13+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-07-31T11:38:38+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355442667_029853f96f_o.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasad Gupta\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"7 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Class 12 Maths Chapter 4 Determinants MCQs","description":"Check and Download Maths MCQs for Class 12 with Answers Chapter 4 Determinants on Infinitylearn.com","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/","og_locale":"en_US","og_type":"article","og_title":"Class 12 Maths Chapter 4 Determinants MCQs","og_description":"Check and Download Maths MCQs for Class 12 with Answers Chapter 4 Determinants on Infinitylearn.com","og_url":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2022-02-18T07:25:13+00:00","article_modified_time":"2025-07-31T11:38:38+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355442667_029853f96f_o.png"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"Prasad Gupta","Est. reading time":"7 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355442667_029853f96f_o.png?v=1642484541","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355442667_029853f96f_o.png?v=1642484541","width":310,"height":189},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/","name":"Class 12 Maths Chapter 4 Determinants MCQs","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/#primaryimage"},"datePublished":"2022-02-18T07:25:13+00:00","dateModified":"2025-07-31T11:38:38+00:00","description":"Check and Download Maths MCQs for Class 12 with Answers Chapter 4 Determinants on Infinitylearn.com","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Maths MCQs for Class 12 with Answers Chapter 4 Determinants"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/143c89c9c2f5e56ed91f96dde47b0b05"},"headline":"Maths MCQs for Class 12 with Answers Chapter 4 Determinants","datePublished":"2022-02-18T07:25:13+00:00","dateModified":"2025-07-31T11:38:38+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/#webpage"},"wordCount":730,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/study-matrial\/class-12\/maths\/maths-mcqs-for-class-12-with-answers-chapter-4-determinants\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/50355442667_029853f96f_o.png","articleSection":["Maths","Study Materials"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/143c89c9c2f5e56ed91f96dde47b0b05","name":"Prasad Gupta","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/200104b443e586c76c46cadc113d931c?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/200104b443e586c76c46cadc113d931c?s=96&d=mm&r=g","caption":"Prasad Gupta"},"url":"https:\/\/infinitylearn.com\/surge\/author\/prasad\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/41362"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=41362"}],"version-history":[{"count":1,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/41362\/revisions"}],"predecessor-version":[{"id":773648,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/41362\/revisions\/773648"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=41362"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=41362"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=41362"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=41362"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}