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On (A={1,2,3}), (R={(1,1),(2,3),(3,2),(3,3)}) is given. What is (R)?समुच्चय (A={1,2,3}) पर (R={(1,1),(2,3),(3,2),(3,3)}) दिया है। (R) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Symmetricसममित
Step 1: ((1,1)) and ((3,3)) are their own reverses. Step 2: ((2,3)) is matched by ((3,2)). Step 3: Since all pairs have their reverses, the relation is symmetric.चरण 1: ((1,1)) और ((3,3)) अपने ही उल्टे हैं। चरण 2: ((2,3)) के साथ ((3,2)) मौजूद है। चरण 3: सभी युग्मों के उल्टे मिलने पर संबंध सममित है।
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