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Which relation is symmetric but not necessarily reflexive?कौन-सा संबंध सममित है लेकिन जरूरी नहीं कि प्रतिवर्ती हो?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({(1,2),(2,1)}) on (A={1,2})({(1,2),(2,1)}) पर (A={1,2})
Step 1: First check symmetry: both ((1,2)) and ((2,1)) are present. Step 2: For reflexivity, ((1,1)) and ((2,2)) are also needed, which are absent here. Step 3: A symmetric relation need not be reflexive.चरण 1: पहले सममितता देखें, ((1,2)) और ((2,1)) दोनों हैं। चरण 2: प्रतिवर्ती होने के लिए ((1,1)) और ((2,2)) भी चाहिए, जो यहाँ नहीं हैं। चरण 3: सममित संबंध का प्रतिवर्ती होना जरूरी नहीं है।
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