Maths 12th Determinants MCQs: The Central Board of Secondary Education (CBSE) conducts the year-end board exams for class 12, which is considered among the top and most difficult papers in the country. It’s the biggest test in a school student’s life and holds significant importance in choosing a career.
The board exam constitutes a vast syllabus and comprises various types of questions like long-answer, short answer and objective multiple-choice questions. The MCQs are often tricky and time-consuming so every student must practice them thoroughly before exams. The CBSE Class 12 maths paper MCQs are particularly challenging.
Maths is a major subject in class 12, and the MCQ section is the highest-scoring one. However, intensive practice is required, especially for CBSE 12th Maths chapter 4 Determinants MCQs. But hard work and a good understanding of the basics are key. On that note, we bring you the following MCQs for CBSE Class 12 Maths Chapter 4 Determinants with solutions to quantify your score.
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MCQs for CBSE Class 12 Maths Chapter 4 Determinants with Solutions
1: If A is a square matrix of order 3 and |A| = 5, then the value of |2A′| is
(a) -10
(b) 10
(c) -40
(d) 40
2: The area of a triangle with vertices (–3, 0), (3, 0) and (0, k) is 9 sq. units. The value of k will be
(a) 9
(b) 3
(c) -9
(d) 6
Related: CBSE Board Syllabus 2025-26: Download Subject-Wise PDFs
3: If A and B are invertible square matrices of size n x , then which of the following is not true?
(a) det (AB) = det(A)det(B)
(b) det (kA) = kn det(A)
(c) det (A+B) = det(A) + det(B)
(d) det (AT) = 1/ det(A-1)
4: The system of linear equations x+y+z=2, 2x+y-2=3, 3x+2y+kz=4 has a unique solution, if k is not equal to
(a) 4
(b) -4
(c) 0
(d) 3
Also Check: NCERT Solutions for Class 12 Maths PDF: Updated for 2025-26
5: Which of the following is correct?
(a) Determinant is a square matrix.
(b) Determinant is a number associated with a matrix.
(c) Determinant is a number associated with a square matrix.
(d) None of these
6: If A is an invertible matrix of order 2, then det (A–1) is equal to
(a) det (A)
(b) 1/det (A)
(c) 1
(d) 0
7:
Related: CBSE Class 12 Maths Sample Paper 2025-26, Download Model Paper PDF
8: 
(a) 0
(b) -(a-b)(b-c)(c-a)(a+b+c)
(c) (a-b)(b-c)(c-a)(a+b+c)
(d) 1
9: 
(a) 9x2 (x + y)
(b) 9y2 (x + y)
(c) 3y2 (x + y)
(d) 7x2 (x + y)
10: 
11. If A is square matrix of order 3 x 3 such that |A| = 4, then the value of |3A| is
(A) 9
(B) 36
(C) 108
(D) None of these
12. If A is a square matrix of order 3 such that |adjA|=64, then what is the value of |A|
(a)64
(b) 8
(c) −8
(d) ±8
13. Let A be a square matrix of order 3. If |A| = 5, then |adjA| is
(a) 5
(b) 125
(c) 25
(d) -5
14. If A and B are two square matrices each of order 3 with |A| = 3 and |B| = 5, the |2AB| is
(a) 30
(b) 120
(c) 15
(d) 225
15. 
Answers:
| Question Number | Answers |
| 1 | (d) 40 |
| 2 | (b) 3 |
| 3 | (c) det (A+B) = det(A) + det(B) |
| 4 | (c) 0 |
| 5 | (c) Determinant is a number associated with a square matrix. |
| 6 | (b) 1/det (A) |
| 7 | (b) |
| 8 | (b) -(a-b)(b-c)(c-a)(a+b+c) |
| 9 | (b) 9y2 (x + y) |
| 10 | (c) 1 |
| 11 | (c) 108 |
| 12 | (d) ±8 |
| 13 | (c) 25 |
| 14 | (b) 120 |
| 15 | (a) ± 3 |
MCQs for CBSE Class 12 Maths Chapter 4 Determinants with Solutions: Download PDF
From here you can download MCQs for CBSE Class 12 Maths Chapter 4 Determinants with solutions. Students can download the PDF to access all the questions shared here in the article.
| MCQs for CBSE Class 12 Maths Chapter 4 Determinants with Solutions PDF |
Related:
NCERT Book for Class 12 Maths 2025-26 All Chapters, PDF Download
CBSE Class 12 Maths Deleted Syllabus 2025-26: Check Topics Not To Prepare for Board Exam
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