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This mock test of Test: Introduction To Determinants for JEE helps you for every JEE entrance exam.
This contains 10 Multiple Choice Questions for JEE Test: Introduction To Determinants (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Order of a matrix [ 2 5 7 ] is

Solution:

The order of matrix is defined by (row × column). The follwing matrix has 1 row and 3 columns. So, the correct option is (d) i.e 1×3.

QUESTION: 2

The value of

Solution:

To find the determinant we have to cross mutliply the elements and then subtract it.

cos^{2}θ - (-sin^{2}θ) = 1

QUESTION: 3

If , then the value of |2A| is same as

Solution:

Due to the rule if a square matrix is of order n x n then, |kA|= k^(n) |A|

QUESTION: 4

Value of the determinant

Solution:

(a^{2} + b^{2})×1 - (2a) × b

= a^{2} +b^{2} - 2ab

= (a - b)^{2}

QUESTION: 5

If , then the value of x is

Solution:

As value of both determinants are equal

∴ (1×1) -(1×1)= 4x - 2

0= 4x-2.

4x = 2.

x = 2/4 =1/2

QUESTION: 6

is equal to

Solution:

Determinant = [(a^{2} + b^{2}).1 - (-2ab)]

= (a+b)^{2}

QUESTION: 7

If , then the value of x is

Solution:

As the value of both determinants are equal,

∴ 1 = x^{2}

x = ±1

QUESTION: 8

, then the value of x is

Solution:

8-6 = 4x-2x

⇒ x = 1

QUESTION: 9

The value of is

Solution:

Δ = 1/2 [2(1-8) -7(1-10) +1(8-10)]

= 47/2

QUESTION: 10

Solution:

9(2x+5) - 3(5x+2) = 0

3x = 39

x = 13

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