CBSE Class 12 Maths Chapter 4 Determinants MCQs with Solutions: Download Updated PDF

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.

Key Points

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 (A^T) = 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: 

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. 

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