Test: Introduction To Determinants - JEE MCQ

# Test: Introduction To Determinants - JEE MCQ

Test Description

## 10 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Test: Introduction To Determinants

Test: Introduction To Determinants for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Test: Introduction To Determinants questions and answers have been prepared according to the JEE exam syllabus.The Test: Introduction To Determinants MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Introduction To Determinants below.
Solutions of Test: Introduction To Determinants questions in English are available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Test: Introduction To Determinants solutions in Hindi for Mathematics (Maths) for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: Introduction To Determinants | 10 questions in 10 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
Test: Introduction To Determinants - Question 1

### Order of a matrix [ 2 5 7 ] is:

Detailed Solution for Test: Introduction To Determinants - Question 1

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.

Test: Introduction To Determinants - Question 2

### The value of

Detailed Solution for Test: Introduction To Determinants - Question 2

To find the determinant we have to cross mutliply the elements and then subtract it.
cos2θ - (-sin2θ) = 1

 1 Crore+ students have signed up on EduRev. Have you?
Test: Introduction To Determinants - Question 3

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

Detailed Solution for Test: Introduction To Determinants - Question 3

Due to the rule if a square matrix is of order n x n then, |kA| = kn |A|.

Test: Introduction To Determinants - Question 4

Value of the determinant

Detailed Solution for Test: Introduction To Determinants - Question 4

(a2 + b2)×1 - (2a) × b
= a2 +b2 - 2ab
= (a - b)2

Test: Introduction To Determinants - Question 5

​If , then the value of x is:

Detailed Solution for Test: Introduction To Determinants - Question 5

As value of both determinants are equal
∴ (1×1) - (1×1) = 4x - 2
0 = 4x-2.
4x = 2.
x = 2/4 = 1/2

Test: Introduction To Determinants - Question 6

​is equal to

Detailed Solution for Test: Introduction To Determinants - Question 6

Determinant = [(a2 + b2).1 - (-2ab)]
= (a+b)2

Test: Introduction To Determinants - Question 7

If , then the value of x is  ​

Detailed Solution for Test: Introduction To Determinants - Question 7

As the value of both determinants are equal,
∴ 1 = x2
x = ±1

Test: Introduction To Determinants - Question 8

, then the value of x is​

Detailed Solution for Test: Introduction To Determinants - Question 8

8-6 = 4x-2x
⇒ x = 1

Test: Introduction To Determinants - Question 9

The value of  is​

Detailed Solution for Test: Introduction To Determinants - Question 9

Δ = 1/2 [2(1-8) -7(1-10) +1(8-10)]
= 47/2

Test: Introduction To Determinants - Question 10

Detailed Solution for Test: Introduction To Determinants - Question 10

9(2x+5) - 3(5x+2) = 0
18x+45-15x-6 = 0
3x = -39
x = -13

## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests
Information about Test: Introduction To Determinants Page
In this test you can find the Exam questions for Test: Introduction To Determinants solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Introduction To Determinants, EduRev gives you an ample number of Online tests for practice

## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests