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Question Medium Mathematics Relations and Functions Symmetric relation Class 12 Level 10

यदि किसी संबंध (R) का प्रतिलोम \(R^{-1}\) उसी संबंध के बराबर है, तो (R) के बारे में सही निष्कर्ष क्या है?

If the inverse \(R^{-1}\) of a relation (R) is equal to the relation itself, what is the correct conclusion about (R)?

Explanation opens after your attempt
Correct Answer

A. (R) सममित है(R) is symmetric

Step 1

Concept

In \(R^{-1}\), every ordered pair is reversed.

Step 2

Why this answer is correct

If \(R^{-1}=R\), then every reverse pair already belongs to (R).

Step 3

Exam Tip

Treat equality with the inverse as a quick test for symmetry. चरण 1: \(R^{-1}\) में हर युग्म उलट जाता है। चरण 2: यदि \(R^{-1}=R\), तो हर उलटा युग्म पहले से (R) में है। चरण 3: प्रतिलोम बराबरी को सममितता की तेज पहचान मानें।

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