यदि (R) relation (A) पर reflexive है, तो \(R^{-1}\) के बारे में कौन सा कथन सही है?

If (R) is a reflexive relation on (A), which statement about \(R^{-1}\) is correct?

Explanation opens after your attempt
Correct Answer

A. \(R^{-1}\) भी reflexive है\(R^{-1}\) is also reflexive

Step 1

Concept

A reflexive (R) contains every ((a,a)), and the inverse of ((a,a)) is again ((a,a)). Therefore \(R^{-1}\) remains reflexive.

Step 2

Why this answer is correct

The correct answer is A. \(R^{-1}\) भी reflexive है / \(R^{-1}\) is also reflexive. A reflexive (R) contains every ((a,a)), and the inverse of ((a,a)) is again ((a,a)). Therefore \(R^{-1}\) remains reflexive.

Step 3

Exam Tip

Reflexive (R) में हर ((a,a)) होता है, और उसका inverse भी ((a,a)) ही है। इसलिए \(R^{-1}\) reflexive रहता है।

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Mathematics Answer, Explanation and Revision Hints

यदि (R) relation (A) पर reflexive है, तो \(R^{-1}\) के बारे में कौन सा कथन सही है? / If (R) is a reflexive relation on (A), which statement about \(R^{-1}\) is correct?

Correct Answer: A. \(R^{-1}\) भी reflexive है / \(R^{-1}\) is also reflexive. Explanation: Reflexive (R) में हर ((a,a)) होता है, और उसका inverse भी ((a,a)) ही है। इसलिए \(R^{-1}\) reflexive रहता है। / A reflexive (R) contains every ((a,a)), and the inverse of ((a,a)) is again ((a,a)). Therefore \(R^{-1}\) remains reflexive.

Which concept should I revise for this Mathematics MCQ?

A reflexive (R) contains every ((a,a)), and the inverse of ((a,a)) is again ((a,a)). Therefore \(R^{-1}\) remains reflexive.

What exam hint can help solve this Mathematics question?

Reflexive (R) में हर ((a,a)) होता है, और उसका inverse भी ((a,a)) ही है। इसलिए \(R^{-1}\) reflexive रहता है।