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On (A={1,2,3}), (R={(1,2),(2,1),(1,1),(2,2)}). Is (R) transitive?समुच्चय (A={1,2,3}) पर (R={(1,2),(2,1),(1,1),(2,2)}) है। क्या (R) संक्रमणीय है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Yesहाँ
Step 1: From ((1,2)) and ((2,1)), ((1,1)) is required. Step 2: From ((2,1)) and ((1,2)), ((2,2)) is required; both are present. Step 3: With reverse pairs, always check the self-pairs.चरण 1: ((1,2)) और ((2,1)) से ((1,1)) चाहिए। चरण 2: ((2,1)) और ((1,2)) से ((2,2)) चाहिए; दोनों मौजूद हैं। चरण 3: उल्टे युग्मों के साथ अपने-आप वाले युग्म जांचना न भूलें।
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