**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.**

## NCERT MCQ Chapters for Class 12 Mathematics

## Q1. 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

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

(i) adj A = |A|.A-1

(ii) det (i)-1 = [det (i)]-1

(iii) (AB)-1 = B-1A-1

(iv) (A + B)-1 = B-1 + A-1

(iv)

## Q3. Let A be a square matrix of order 3 × 3. Then |kA| is equal to

(i) k|A|

(ii) k²|A|

(iii) k³|A|

(iv) 3k|A|

(iii) k³|A|

## Q4. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x.

(i) 2

(ii) 3

(iii) 4

(iv) 5

(iv) 5

## Q5. If area of triangle is 35 sq. units with vertices (2, -6), (5, 4) and (k, 4). Then k is

(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

## Q9. 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 =

(i) 1 : 2 : -2

(ii) 1 : -2 : 2

(iii) 2 : 1 : 2

(iv) 2 : 1 : -2

(iv) 2 : 1 : -2

## Q10. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x.

(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

## Q12. 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

## Q13. The number of values of ‘k’ for which the linear equations:

4x + ky + 2z = 0

kx + 4y + z = 0

2x + 2y + z = 0

possesses a non-zero solution is

(i) 3

(ii) 2

(iii) 1

(iv) zero

v

## Q14. If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k.

(i) 4

(ii) 7/140

(iii) 47

(iv) 40/7

(iv) 40/7

## Q15. If area of triangle is 35 sq. units with vertices (2, -6), (5, 4) and (k, 4). Then k is

(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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## MCQ Questions for Class 12 Mathematics Chapter wise with Answers

**Lesson 1. Relations and Functions MCQs****Lesson 2. Inverse Trigonometric Functions MCQs****Lesson 3. Matrices MCQs****Lesson 4. Determinants MCQs****Lesson 5. Continuity and Differentiability MCQs****Lesson 6. Application of Derivatives MCQs****Lesson 7. Integrals MCQs****Lesson 8. Application of Integrals MCQs****Lesson 9. Differential Equations MCQs****Lesson 10. Vector Algebra MCQs****Lesson 11. Three Dimensional Geometry MCQs****Lesson 12. Linear Programming MCQs****Lesson 13. Probability MCQs**