Test: Determinants- Assertion & Reason Type Questions - JEE MCQ

# Test: Determinants- Assertion & Reason Type Questions - JEE MCQ

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## 6 Questions MCQ Test Mathematics (Maths) Class 12 - Test: Determinants- Assertion & Reason Type Questions

Test: Determinants- Assertion & Reason Type Questions for JEE 2024 is part of Mathematics (Maths) Class 12 preparation. The Test: Determinants- Assertion & Reason Type Questions questions and answers have been prepared according to the JEE exam syllabus.The Test: Determinants- Assertion & Reason Type Questions MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Determinants- Assertion & Reason Type Questions below.
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Test: Determinants- Assertion & Reason Type Questions - Question 1

### Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): If the matrix is singular, then λ = 4.Reason (R): If A is a singular matrix, then |A|= 0.

Detailed Solution for Test: Determinants- Assertion & Reason Type Questions - Question 1

A matrix is said to be singular if |A| = 0

Hence R is true.

Hence A is true.

R is the correct explanation for A.

Test: Determinants- Assertion & Reason Type Questions - Question 2

### Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Let A be a 2 × 2 matrix.Assertion (A): adj (adj A) = AReason (R): |adj A|=|A|

Detailed Solution for Test: Determinants- Assertion & Reason Type Questions - Question 2

Hence A is true.

|adj A| = |A|n – 1 n = 2

Hence R is true.

R is not the correct explanation for A.

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Test: Determinants- Assertion & Reason Type Questions - Question 3

### Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): If every element of a third order determinant of value D is multiplied by 5, then the value of the new determinant is 125D.Reason (R): If k is a scalar and A is an n × n matrix, then |kA|= kn |A|

Detailed Solution for Test: Determinants- Assertion & Reason Type Questions - Question 3

If k is a scalar and A is an n × n matrix, then |kA| = kn|A|.

This is a property of the determinant. Hence R is true.

Using this property, |5?| = 53 ? = 125?

Hence A is true.

R is the correct explanation of A.

Test: Determinants- Assertion & Reason Type Questions - Question 4

Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): If and A–1 = kA, then k = 1/9

Reason (R):

Detailed Solution for Test: Determinants- Assertion & Reason Type Questions - Question 4

Test: Determinants- Assertion & Reason Type Questions - Question 5

Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): If then

Reason (R): The inverse of an invertible diagonal matrix is a diagonal matrix.

Detailed Solution for Test: Determinants- Assertion & Reason Type Questions - Question 5

Hence A is true.

A is a diagonal matrix and its inverse is also a diagonal matrix. Hence R is true. But R is not the correct explanation of A.

Test: Determinants- Assertion & Reason Type Questions - Question 6

Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Given

Assertion (A): 2A–1 = 9I – A

Reason (R):

Detailed Solution for Test: Determinants- Assertion & Reason Type Questions - Question 6

Hence R is true

∴ 2A-1 =9I - A is true.

R is the correct explanation for A.

## Mathematics (Maths) Class 12

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## Mathematics (Maths) Class 12

204 videos|288 docs|139 tests