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

1. 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

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?

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:

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

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

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

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

8. Question

9. 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

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

11. 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 =

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

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

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

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

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

17. Question

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

19. Question

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

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

22. Which of the following is correct?

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

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

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

26. Question

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

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

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

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

31. Question

32. Inverse of a matrix A exists, if​

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

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

35. Question

36. Question

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

38. Question

39. Question

40. Question

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