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On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(4,2),(2,2),(4,4)}). Is this relation transitive?समुच्चय (A={1,2,3,4}) पर (R={(1,2),(2,4),(1,4),(4,2),(2,2),(4,4)}) है। यह संबंध संक्रामक है या नहीं?
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Correct answer:सही उत्तर: It is transitiveसंक्रामक है
Step 1: ((1,2)) and ((2,4)) require ((1,4)), which is present. ((1,4)) and ((4,2)) require ((1,2)), which is present. Step 2: ((2,4)) and ((4,2)) require ((2,2)), and ((4,2)) and ((2,4)) require ((4,4)); both are present. Step 3: When reverse links appear, check the self-pairs they force.चरण 1: ((1,2)) और ((2,4)) से ((1,4)) मौजूद है। ((1,4)) और ((4,2)) से ((1,2)) मौजूद है। चरण 2: ((2,4)) और ((4,2)) से ((2,2)), तथा ((4,2)) और ((2,4)) से ((4,4)) मौजूद हैं। चरण 3: दोतरफा जोड़ियाँ हों तो बनने वाली स्वयंजोड़ियाँ जरूर देखें।
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