# Determinants MCQ Questions for Class 12 Maths Chapter 4 with Answers

Find here the NCERT chapter-wise Multiple Choice Questions from Class 12 Mathematics book Chapter 4 Determinants with Answers Pdf free download. This may assist you to understand and check your knowledge about the chapters. Students also can take a free test of the Multiple Choice Questions of Determinants. Each question has four options followed by the right answer. These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.

(i) 9
(ii) 3
(iii) -9
(iv) 6

(ii) 3

## Q2. If A and B are invertible matrices, then which of the following is not correct?

(ii) det (i)-1 = [det (i)]-1
(iii) (AB)-1 = B-1A-1
(iv) (A + B)-1 = B-1 + A-1

(iv)

(i) k|A|
(ii) k²|A|
(iii) k³|A|
(iv) 3k|A|

(iii) k³|A|

(i) 2
(ii) 3
(iii) 4
(iv) 5

(iv) 5

(i) 12
(ii) -2
(iii) -12, -2
(iv) 12, -2.

(iv) 12, -2.

## Q6. If for the non-singular matrix A, A2 = I, then find A-1.

(i) A
(ii) I
(iii) O
(iv) None of these

(i) A

## Q7. Solve the following system of equations x – y + z = 4, x – 2y + 2z = 9 and 2x + y + 3z = 1.

(i) x = -4, y = -3, z = 2
(ii) x = -1, y = -3, z = 2
(iii) x = 2, y = 4, z = 6
(iv) x = 3, y = 6, z = 9

(ii) x = -1, y = -3, z = 2

## Q8. If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y – bz = 0 has non-trivial solution, then

(i) a – b = 2
(ii) a + b + 1 = 0
(iii) a + b = 3
(iv) a – b – 8 = 0

(i) a – b = 2

(i) 1 : 2 : -2
(ii) 1 : -2 : 2
(iii) 2 : 1 : 2
(iv) 2 : 1 : -2

(iv) 2 : 1 : -2

(i) 2
(ii) 3
(iii) 4
(iv) 5

(iv) 5

## Q11. Which of the following is correct?

(i) Determinant is a square matrix
(ii) Determinant is a number associated to a matrix
(iii) Determinant is a number associated to a square matrix
(iv) None of these

(iii) Determinant is a number associated to a square matrix

(i) 9
(ii) 3
(iii) -9
(iv) 6.

(ii) 3

(i) 3
(ii) 2
(iii) 1
(iv) zero

v

(i) 4
(ii) 7/140
(iii) 47
(iv) 40/7

(iv) 40/7

(i) 12
(ii) -2
(iii) -12, -2
(iv) 12, -2

(iv) 12, -2

## Q16. The area of a triangle with vertices (-3, 0) (3, 0) and (0, k) is 9 sq. units. The value of k will be

(i) 9
(ii) 3
(iii) -9
(iv) 6

(ii) 3

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