CUET 2024 Maths Chapter 4 – Determinants MCQ Question and Answers – MCQs for Practice

1. We can add two matrices having real numbers A and B if their

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

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

4. Which of the following conditions holds true for a system of equations to be consistent?

5. Question

6. Question

7. If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k.

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

9. If A is a square matrix of order 3 and |A| = 5 then |3A| = ?​

10. Question

11. 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

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

13. Question

14. 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?

15. Using determinants, find the equation of the line joining the points (1, 2) and (3, 6).

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

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

18. If A is a symmetric matrix, then At =

19. A system of linear equations AX = B is said to be inconsistent, if the system of equations has​

20. If A is an invertible matrix of order 2, then det (A–1) is equal to

21. The area of a triangle with vertices (-3, 0) (3, 0) and (0, k) is 9 sq. units. The value of k will be

22. Question

23. Which of the following is correct?

24. 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 =

25. The area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units. The value of ‘k’ will be:

26. Find the area of the triangle with vertices P(4, 5), Q(4, -2) and R(-6, 2).

27. 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

28. The minor Mij of an element aij of a determinant is defined as the value of the determinant obtained after deleting the​

29. Question

30. System of equations AX = B is inconsistent if​

31. Question

32. If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k.

33. If the area of the triangle is 35 sq. units with vertices (2, -6), (5, 4) and (k, 4). Then k is

34. Question

35. If A is a square matrix of order 3 and |A| = 7 then |AT| =​

36. Question

37. Question

38.  If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y – bz = 0 has non-trivial solution, then

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

40. Inverse of a matrix A exists, if​

41. Find the area of the triangle whose vertices are (-2, 6), (3, -6) and (1, 5).