CBSE Class 12 Maths Chapter 4 Determinants MCQs

Maths 12th Determinants MCQs: The Central Board of Secondary Education (CBSE) conducts the year-end board exams for class 12, which is considered among the top and most difficult papers in the country. It’s the biggest test in a school student’s life and holds significant importance in choosing a career.

The board exam constitutes a vast syllabus and comprises various types of questions like long-answer, short answer and objective multiple-choice questions. The MCQs are often tricky and time-consuming so every student must practice them thoroughly before exams. The CBSE Class 12 maths paper MCQs are particularly challenging.

Maths is a major subject in class 12, and the MCQ section is the highest-scoring one. However, intensive practice is required, especially for CBSE 12th Maths chapter 4 Determinants MCQs.

But hard work and a good understanding of the basics are key. On that note, we bring you the following MCQs for CBSE Class 12 Maths Chapter 4 Determinants to boost your score.

MCQs for CBSE Class 12 Maths Chapter 4 Determinants

Question 1: 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 2: 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

Related: CBSE Class 12 Maths Syllabus 2023-24: 12th Maths Syllabus Download PDF

Question 3: If A and B are invertible square matrices of size n x , then which of the following is not true?

(a) det (AB) = det(A)det(B)

(b) det (kA) = kⁿ det(A)

(c) det (A+B) = det(A) + det(B)

(d) det (A^T) = 1/ det(A^-1)

Question 4: The system of linear equations x+y+z=2, 2x+y-2=3, 3x+2y+kz=4 has a unique solution, if k is not equal to

(a) 4

(b) -4

(c) 0

(d) 3

Also Check: NCERT Solutions for Class 12 Maths PDF: Updated for 2023-24

Question 5: 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 6: 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 7:

Related: CBSE Class 12 Maths Sample Paper 2023-24 with Solutions PDF - Download Model Paper

Question 8:  (a) 0

(b) -(a-b)(b-c)(c-a)(a+b+c)

(c) (a-b)(b-c)(c-a)(a+b+c)

(d) 1

Question 9:

(a) 9x² (x + y)
(b) 9y² (x + y)
(c) 3y² (x + y)
(d) 7x² (x + y)

Question 10:

Answers

Related:

CBSE Determinants Class 12 Mind Map for Chapter 4

Class 12th Mathematics NCERT Book

CBSE Class 12 Maths Deleted Syllabus 2023-24