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If (A={3,6,9}) and (R={(a,b):a+b\text{ is divisible by }3}), is (R) reflexive?यदि (A={3,6,9}) और (R={(a,b):a+b\text{ is divisible by }3}) है, तो (R) परावर्ती है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Yesहाँ
Step 1: Every element of (A) is divisible by (3). Step 2: For ((a,a)), (a+a=2a), and if (a) is divisible by (3), then (2a) is also divisible by (3). Step 3: Always connect the nature of the set with the condition.चरण 1: (A) का हर तत्व (3) से विभाज्य है। चरण 2: ((a,a)) के लिए (a+a=2a), और (a) यदि (3) से विभाज्य है तो (2a) भी (3) से विभाज्य होगा। चरण 3: समुच्चय की प्रकृति शर्त के साथ मिलाकर देखें।
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