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If (A={1,2,3,4}) and (R={(a,b):\frac{a}{b}=1}), is (R) reflexive?यदि (A={1,2,3,4}) और (R={(a,b):\frac{a}{b}=1}) है, तो (R) परावर्ती है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Yesहाँ
Step 1: Put (b=a) to test reflexivity. Step 2: Since every (a \in A) is non-zero, (\frac{a}{a}=1) is true. Step 3: In fraction-based relations, also check that the denominator is not zero.चरण 1: परावर्ती जाँच में (b=a) रखें। चरण 2: हर (a \in A) शून्य नहीं है, इसलिए (\frac{a}{a}=1) सत्य है। चरण 3: भिन्न वाले संबंधों में हर तत्व के शून्य न होने की बात भी देखें।
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