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On (A={1,2,3,4}), (R={(a,b):a+b\text{ is divisible by }3}). Choose the correct statement for (R).(A={1,2,3,4}) पर (R={(a,b):a+b\text{ is divisible by }3}) है। (R) के लिए सही कथन चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (R) is not reflexive because ((1,1)\notin R)(R) परावर्ती नहीं है क्योंकि ((1,1)\notin R)
Step 1: Reflexivity requires all ((a,a)) pairs. Step 2: For ((1,1)), (1+1=2), which is not divisible by (3). Step 3: If even one diagonal pair is missing, the relation is not reflexive.चरण 1: परावर्तीता में सभी ((a,a)) चाहिए। चरण 2: ((1,1)) के लिए (1+1=2), जो (3) से विभाज्य नहीं है। चरण 3: एक भी विकर्ण युग्म गायब हो तो संबंध परावर्ती नहीं होता।
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