## Maths Chapter 4 – Determinants MCQ Question Answers for CUET 2024

1. 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.

2. Question
a.
b.
c.
d.

3. 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.

4. Question
a.
b.
c.
d.

5. 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.

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

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

10. Question
a.
b.
c.
d.

11.  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.

12. 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.

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

14. 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.

15. Question
a.
b.
c.
d.

16. Given that A is a square matrix of order 3 and |A| = -4, then |adj A| is equal to
a.
b.
c.
d.

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

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

19. If A is a square matrix of order 3 and |A| = 5, then the value of |2A′| is
a.
b.
c.
d.

20. The minor Mij of an element aij of a determinant is defined as the value of the determinant obtained after deleting the​
a.
b.
c.
d.

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

22. Question
a.
b.
c.
d.

23. Using determinants, find the equation of the line joining the points (1, 2) and (3, 6).
a.
b.
c.
d.

24. Question
a.
b.
c.
d.

25. 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.

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