यदि \(A=\{1,2,3\}\) और \(R=\{(1,1),(2,2),(3,3),(1,3),(3,1)\}\) हो तो (R) का विलोम क्या होगा?

If \(A=\{1,2,3\}\) and \(R=\{(1,1),(2,2),(3,3),(1,3),(3,1)\}\), what is the inverse of (R)?

Explanation opens after your attempt
Correct Answer

A. (R) ही(R) itself

Step 1

Concept

The reverse of every pair is already present in (R). Therefore \(R^{-1}=R\).

Step 2

Why this answer is correct

The correct answer is A. (R) ही / (R) itself. The reverse of every pair is already present in (R). Therefore \(R^{-1}=R\).

Step 3

Exam Tip

हर युग्म का उल्टा युग्म पहले से (R) में मौजूद है। इसलिए \(R^{-1}=R\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3\}\) और \(R=\{(1,1),(2,2),(3,3),(1,3),(3,1)\}\) हो तो (R) का विलोम क्या होगा? / If \(A=\{1,2,3\}\) and \(R=\{(1,1),(2,2),(3,3),(1,3),(3,1)\}\), what is the inverse of (R)?

Correct Answer: A. (R) ही / (R) itself. Explanation: हर युग्म का उल्टा युग्म पहले से (R) में मौजूद है। इसलिए \(R^{-1}=R\) है। / The reverse of every pair is already present in (R). Therefore \(R^{-1}=R\).

Which concept should I revise for this Mathematics MCQ?

The reverse of every pair is already present in (R). Therefore \(R^{-1}=R\).

What exam hint can help solve this Mathematics question?

हर युग्म का उल्टा युग्म पहले से (R) में मौजूद है। इसलिए \(R^{-1}=R\) है।