Determinants MCQs | Class 12 Maths Chapter 4 MCQ Question and Answers

by | Dec 24, 2025 | General | 0 comments

Determinants MCQ Question Answers for CUET 2026 from Class 12 Maths Chapter 4

To score full marks in the CUET 2026 Maths exam, Practice Class 12 Maths Chapter 4 Determinants MCQ Test any number of times free on our website. These questions have been created by our experts from the latest Class 12 Maths Syllabus and as per latest exam pattern. Multiple Choice Questions (MCQs) are a type of objective assessment in which a person is asked to choose one or more correct answers from a list of available options. An MCQ presents a question along with several possible answers. Most of the exams in India including CUET exam conduct online test to check your knowledge

Class 12 Maths Chapter 4 MCQs

1. If A is a square matrix of order 3 and |A| = 5 then |3A| = ?​
a.
b.
c.
d.

2. System of equations AX = B is inconsistent if​
a.
b.
c.
d.

3. If A is a symmetric matrix, then At =
a.
b.
c.
d.

4. If A is an invertible matrix of order 2, then det (A–1) is equal to
a.
b.
c.
d.

5. 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.
b.
c.
d.

6. If A is a square matrix of order 3 and |A| = 7 then |AT| =​
a.
b.
c.
d.

7. Which of the following is correct?
a.
b.
c.
d.

8. 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.
b.
c.
d.

9.  If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y – bz = 0 has non-trivial solution, then
a.
b.
c.
d.

10. Question
a.
b.
c.
d.

11. If A is any square matrix of order 3 x 3 such that |a| = 3, then the value of |adj. A| is?
a.
b.
c.
d.

12. A system of linear equations AX = B is said to be inconsistent, if the system of equations has​
a.
b.
c.
d.

13. A non-trivial solution of the system of equations x + λy + 2z = 0, 2x + λz = 0, 2λx – 2y + 3z = 0 is given by x : y : z =
a.
b.
c.
d.

14. Question
a.
b.
c.
d.

15. Question
a.
b.
c.
d.

16. In a third order determinant, each element of the first column consists of sum of two terms, each element of the second column consists of sum of three terms and each element of the third column consists of sum of four terms. Then it can be decomposed into n determinants, where n has value
a.
b.
c.
d.

17. Question
a.
b.
c.
d.

18. If the area of the triangle is 35 sq. units with vertices (2, -6), (5, 4) and (k, 4). Then k is
a.
b.
c.
d.

19. For a given system of equations if |A|=0 and (adj A)B≠O(zero matrix), then which of the following is correct regarding the solutions of the given equations?
a.
b.
c.
d.

20. Question
a.
b.
c.
d.

21. We can add two matrices having real numbers A and B if their
a.
b.
c.
d.

22. Find the area of the triangle with vertices P(4, 5), Q(4, -2) and R(-6, 2).
a.
b.
c.
d.

23. Question
a.
b.
c.
d.

24. If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k.
a.
b.
c.
d.

25. Question
a.
b.
c.
d.


 

 

To summarize, revising for free using our MCQs on Class 12 Maths Chapter 4 Determinants is highly beneficial for scoring full marks on the CUET 2026 Maths exam. We provide a sophisticated online test platform tailored for unlimited practice through proficiently crafted questions built on the most recent syllabus and exam pattern. Practicing MCQs regularly will boost conceptual understanding as they are significant for objective assessments. Start practicing now to succeed in your CUET 2026 Maths exam!

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