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On (A={1,2,3,4}), if (aRb) when (a+b) is odd, which statement about (R) is correct?यदि (A={1,2,3,4}) पर (aRb) यदि (a+b) विषम है, तो (R) के बारे में सही कथन कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Symmetric but not reflexiveसममित है पर स्वपरक नहीं
Step 1: Since (a+b=b+a), if ((a,b)) is present, ((b,a)) is also present. Step 2: For ((a,a)), (2a) is even, so no self-pair appears. Step 3: Hence it is symmetric but not reflexive.चरण 1: (a+b=b+a), इसलिए यदि ((a,b)) है तो ((b,a)) भी होगा। चरण 2: ((a,a)) में (2a) सम होता है, इसलिए स्वयं युग्म नहीं मिलते। चरण 3: इसलिए यह सममित है पर स्वपरक नहीं है।
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