MCQs Questions for Class 12 Maths Chapter 4 Determinants

# MCQs Questions for Class 12 Maths Chapter 4 Determinants

## MCQs Questions for Class 12 Maths Chapter 4 Determinants

In this 21st century, Multiple Choice Questions (MCQs) play a major role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns.

In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should more focus on the MCQ questions. Thus, let’s solve these MCQs Questions to make our foundation very strong.

In this post, you will find 15 MCQs questions for class 12 maths chapter 4 determinant.

## MCQs Questions for Class 12 Maths Chapter 4 Determinants

1. If the area of a triangle with the vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units, then the value of k is
(a) 3
(b) 9
(c) -9
(d) 6

2. For a non-singular matrix A, if A2 = I, then the value of A-1 is
(a) I
(b) A
(c) O
(d) None of these

3. Evaluate

(a) -6
(b) 34
(c) -34
(d) 22

4. If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y – bz = 0 have non-trivial solutions, then
(a) a – b = 2
(b) a + b + 1 = 0
(c) a + b = 3
(d) a – b – 8 = 0

5. Which of the following is not a property of the determinant?
(a) The value of determinant changes if all of its rows and columns are interchanged
(b) The value of determinant changes if any two rows or columns are interchanged
(c) The value of determinant is zero if any two rows and columns are identical
(d) The value of determinant gets multiplied by k, if each element of row or column is multiplied by k

6.

(a) 1

(b) 4

(c) 3

(d) 2

7. Evaluate

(a) 1

(b) 0

(c) xyz

(d) x2 yz3

8. Solve the following system of equations:

x – y + z = 4, x – 2y + 2z = 9 and 2x + y + 3z = 1. The solution is
(a) x = -4, y = -3, z = 2
(b) x = -1, y = -3, z = 2
(c) x = 2, y = 4, z = 6
(d) x = 3, y = 6, z = 9

9.

10. If the points (3, -2), (x, 2) and (8, 8) are collinear, then the value of x is
(a) 2
(b) 3
(c) 5
(d) 4

11. Evaluate

(a) 2abc

(b) 2a{(b – c)(c – a + b)}

(c) 2b{(a – c)(a + b + c)}

(d) 2c{(b – c)(a – c + b)}

12. If w is a non-real root of the equation x² – 1 = 0, then

(a) 1

(b) 0

(c) Ï‰

(d) Ï‰²

13. Find the minor of the element of second row and third column in the following determinant.

(a) 0

(b) 4

(c) 5

(d) 13

14. Using the determinants, find the equation of the line joining the points (1, 2) and (3, 6).
(a) y = 2x
(b) x = 3y
(c) y = x
(d) 4x – y = 5

15.

(a) 0

(b) (x – 2)(x – 3)(x – 4)

(c) (x – Î±)(x – Î²)(x – Î³)

(d) Î±Î²Î³ (Î± – Î²)(Î² – Î³)2