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If (R) is symmetric and ((a,b)\in R), which statement may be false?यदि (R) सममित है और ((a,b)\in R), तो कौन-सा कथन गलत हो सकता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((a,a)\in R)((a,a)\in R)
Step 1: Symmetry only tells us that ((b,a)) is present. Step 2: It does not require ((a,a)) to be present. Step 3: Do not treat conclusions as compulsory unless they follow from the definition.चरण 1: सममितता केवल ((b,a)) की उपस्थिति बताती है। चरण 2: इससे ((a,a)) का होना जरूरी नहीं होता। चरण 3: जो निष्कर्ष सीधे परिभाषा से न निकले, उसे अनिवार्य न मानें।
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