यदि \(A=\{1,2\}\) और \(R=A\times A\) है, तो (R) transitive है या नहीं?

If \(A=\{1,2\}\) and \(R=A\times A\), is (R) transitive?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. हाँYes

Explanation

Simple Explanation

\(A\times A\) में सभी possible pairs होते हैं, इसलिए transitive condition पूरी होती है। Universal relation transitive भी होता है। / The set \(A\times A\) contains all possible pairs, so the transitive condition is satisfied. The universal relation is also transitive.

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2\}\) और \(R=A\times A\) है, तो (R) transitive है या नहीं? / If \(A=\{1,2\}\) and \(R=A\times A\), is (R) transitive?

Correct Answer: A. हाँ / Yes. Explanation: \(A\times A\) में सभी possible pairs होते हैं, इसलिए transitive condition पूरी होती है। Universal relation transitive भी होता है। / The set \(A\times A\) contains all possible pairs, so the transitive condition is satisfied. The universal relation is also transitive.