Maths Chapter 4 – Determinants MCQ Question Answers for CUET 2024

1. 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.

2. Question
a.
b.
c.
d.

3. Question
a.
b.
c.
d.

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

5. Which of the following conditions holds true for a system of equations to be consistent?
a.
b.
c.
d.

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:
a.
b.
c.
d.

7. Question
a.
b.
c.
d.

8. If the system of equations x + ky – z = 0, 3x – ky – z = 0 & x – 3y + z = 0 has non-zero solution, then k is equal to
a.
b.
c.
d.

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

10. 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.

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

12. Question
a.
b.
c.
d.

13. 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.

14. 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.

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

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

17. Inverse of a matrix A exists, if​
a.
b.
c.
d.

18. Question
a.
b.
c.
d.

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

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

21. 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.

22. Question
a.
b.
c.
d.

23. 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.

24. If 4x + 3y + 6z = 25, x + 5y + 7z = 13, 2x + 9y + z = 1, then z = …………….
a.
b.
c.
d.

25. Question
a.
b.
c.
d.


 


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