Maths MCQs for Class 12 with Answers Chapter 4 Determinants

# Maths MCQs for Class 12 with Answers Chapter 4 Determinants

Class 12 Maths Chapter 4 Determinants MCQs are designed to assist students in scoring well in the CBSE board exam 2023-24. These multiple-choice questions align with the new CBSE guidelines for the academic year 2023-24, covering all topics and subtopics of Chapter 4 Determinants from the NCERT textbook. Practicing these MCQs will help students prepare effectively for their exams. Access all Class 12 Maths MCQs for every chapter at Infinitylearn.com.

## Determinants Class 12 Maths MCQs Pdf

Question 1.

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Question 2.

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

(a) -10

(b) 10

(c) -40

(d) 40

Question 4. Find the value of x for which the matrix

(a) 0, 1

(b) 1, 3

(c) 0, 3

(d) 3, 2

Question 5.

Question 6. The area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units. The value of k will be

(a) 9

(b) 3

(c) -9

(d) 6

Question 7. The area of a triangle with vertices (–3, 0), (3, 0) and (0, k) is 9 sq. units. The value of k will be

(a) 9

(b) 3

(c) -9

(d) 6

Latest: CBSE Class 12 Maths Answer Key 2024 | CBSE Class 12 Maths Paper Analysis 2024

Question 8.

(a) 0

(b) -1

(c) 2

(d) 3

Question 9.

Question 10. Given that A is a square matrix of order 3 and |A| = -4, then |adj A| is equal to

(a) -4

(b) 4

(c) -16

(d) 16

Question 11. Which of the following is correct?

(a) Determinant is a square matrix.

(b) Determinant is a number associated with a matrix.

(c) Determinant is a number associated with a square matrix.

(d) None of these

Question 12. Compute (AB)-1, If

Question 13.

Question 14.

Question 15.

Question 16. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x.

(a) 2

(b) 3

(c) 4

(d) 5

Question 17. Using 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

Question 18. If A is an invertible matrix of order 2, then det (A–1) is equal to

(a) det (A)

(b) 1/det (A)

(c) 1

(d) 0

Question 19.

Question 20.

Question 21.

Question 22. If for the non-singular matrix A, A2 = I, then find A-1.

(a) A

(b) I

(c) O

(d) None of these

Question 23. If the equation a(y + z) = x, b(z + x) = y, c(x + y) = z have non-trivial solutions then the value of $$\frac{1}{1+a}+\frac{1}{1+b}+\frac{1}{1+c}$$ is

(a) 1

(b) 2

(c) -1

(d) -2

Question 24. 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 =

(a) 1 : 2 : -2

(b) 1 : -2 : 2

(c) 2 : 1 : 2

(d) 2 : 1 : -2

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

(a) 1

(b) 3

(c) -2

(d) 2

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

(a) a – b = 2

(b) a + b + 1 = 0

(c) a + b = 3

(d) a – b – 8 = 0

Question 27. Solve the following system of equations x – y + z = 4, x – 2y + 2z = 9 and 2x + y + 3z = 1.

(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

Question 28. 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

(a) -1

(b) 0

(c) 1

(d) 2

Question 29. Find the area of the triangle with vertices P(4, 5), Q(4, -2) and R(-6, 2).

(a) 21 sq. units

(b) 35 sq. units

(c) 30 sq. units

(d) 40 sq. units

Question 30. If the points (a1, b1), (a2, b2) and(a1 + a2, b1 + b2) are collinear, then

(a) a1b2 = a2b1

(b) a1 + a2 = b1 + b2

(c) a2b2 = a1b1

(d) a1 + b1 = a2 + b2

Also Read: CBSE Class 12 Maths Syllabus

Question 31. If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k.

(a) 4

(b) 7/140

(c) 47

(d) 40/7

Question 32. Find the area of the triangle whose vertices are (-2, 6), (3, -6) and (1, 5).

(a) 30 sq. units

(b) 35 sq. units

(c) 40 sq. units

(d) 15.5 sq. units