## Mathematics MCQ on Determinants for JEE and Engineering Exam 2022

MCQ on Determinants: To be an expert in JEE Mathematics, it is absolutely necessary to practice and be familiar will all the concepts as well as the questions of different types. This is essential to gain mastery over the subject. We have also often heard the common saying, “Practice Makes a Man Perfect”, hence students have to practice, practice and practice till they master the subject.

In this post we are providing you MCQ on Determinants, which will be beneficial for you in upcoming JEE and Engineering Exams.

## MCQ on Determinants

Q1.

a) 1
b) -1
c) 4
d) No real value

d) No real value

Q2.

a) 1
b) -1
c) 0
d) No real value

c) 0

Q3.

a) 4
b) -4
c) 0
d) 3

c) 0

Q4.

a) 3, 7
b) 2, 7
c) 6, 7
d) 4, 7

b) 2, 7

Q5. The number of values of k for which the system of equations (k + 1) x + 8y = 4k, kx + (k + 3) y = 3k − 1 has infinitely many solutions, is _______.
a) 1
b) 2
c) 3
d) 4

a) 1

For infinitely many solutions, the two equations must be identical.

⇒ [k + 1] / [k] = [8] / [k + 3] = [4k] / [3k − 1]

⇒ (k + 1) (k + 3) = 8k and 8 (3k − 1) = 4k (k + 3)

⇒ k− 4k + 3 = 0 and k2 −3k + 2 = 0

By cross multiplication,

[k2] / [−8 + 9] = [k] / [3 − 2] = [1] / [−3 + 4]

k= 1 and k = 1;

k = 1

Q6.

a) x = 1, y = 3
b) x = 0, y = 3
c) x = 3, y = 1
d) x = 0, y = 0

d) x = 0, y = 0

Q7.

a) 36
b) 18
c) 24
d) 48

c) 24

Q8.

a) 18
b) 24
c) 30
d) 36

a) 18