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If (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}), which missing pair prevents it from being an equivalence relation?यदि (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}) है तो तुल्यता संबंध बनने में कौन सा युग्म कमी दिखाता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((1,3))((1,3))
Step 1: The relation is reflexive and the given non-diagonal pairs have their reverses. Step 2: But ((1,2)) and ((2,3)) require ((1,3)) by transitivity. Step 3: This pair is missing, so it is not an equivalence relation.चरण 1: संबंध स्वतः है और दिए गए गैर विकर्ण युग्म अपने उलटे के साथ हैं। चरण 2: लेकिन ((1,2)) और ((2,3)) से संचारीता के लिए ((1,3)) चाहिए। चरण 3: यह युग्म नहीं है इसलिए तुल्यता संबंध नहीं बनता।
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