Maths Chapter 4 – Determinants MCQ Question Answers for CUET 2024

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

2. 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.

3. Solve the following system of equations x – y + z = 4, x – 2y + 2z = 9 and 2x + y + 3z = 1.
a.
b.
c.
d.

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

5. Question
a.
b.
c.
d.

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

7. 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.

8. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x.
a.
b.
c.
d.

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

10. Question
a.
b.
c.
d.

11. Question
a.
b.
c.
d.

12. Question
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. 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.

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

16. 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.

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

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

19. Question
a.
b.
c.
d.

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

21.  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.

22. Find the area of the triangle whose vertices are (-2, 6), (3, -6) and (1, 5).
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. Question
a.
b.
c.
d.

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


 


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