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If (A={1,2,3}) and (R={(1,1),(2,2),(1,3),(3,1)}), which statement about (R) is correct?यदि (A={1,2,3}) और (R={(1,1),(2,2),(1,3),(3,1)}) है, तो (R) के बारे में सही कथन कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (R) is symmetric(R) सममित है
Step 1: ((1,1)) and ((2,2)) are their own reverses. Step 2: ((1,3)) has its reverse ((3,1)) present. Step 3: If every non-diagonal pair has its reverse, the relation is symmetric.चरण 1: ((1,1)) और ((2,2)) अपने ही उलटे हैं। चरण 2: ((1,3)) के साथ ((3,1)) मौजूद है। चरण 3: यदि हर गैर-विकर्ण युग्म का उलटा मिल जाए, तो संबंध सममित है।
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