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

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

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

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

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

5. Question

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

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

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

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

10. Question

11. Question

12. 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

13. 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

14. Question

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

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. Inverse of a matrix A exists, if​

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

20. Question

21. 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 =

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

23. Which of the following is correct?

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

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

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

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

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

29. Question

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. Question

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

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

35. Question

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

37. 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?

38. Question

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

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

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