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JEE Exam  >  JEE Tests  >  Mathematics (Maths) Class 12  >  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.
Solutions of Test: Determinants- Assertion & Reason Type Questions questions in English are available as part of our Mathematics (Maths) Class 12 for JEE & Test: Determinants- Assertion & Reason Type Questions solutions in Hindi for Mathematics (Maths) Class 12 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: Determinants- Assertion & Reason Type Questions | 6 questions in 12 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) Class 12 for JEE Exam | Download free PDF with solutions
Test: Determinants- Assertion & Reason Type Questions - Question 1
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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
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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) = A

Reason (R): |adj A|=|A|

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

adj (adj A) = |A|n – 2 A

Here n = 2 ⇒ adj (adj A) = A

Hence A is true.

|adj A| = |A|n – 1 n = 2

⇒ |adj A|=|A|

Hence R is true.

R is not the correct explanation for A.

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

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