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On (A={1,2,3,4}), (R={(a,b):a+b=5}). Which property does this relation satisfy?समुच्चय (A={1,2,3,4}) पर (R={(a,b):a+b=5}) है। यह संबंध किस गुण को पूरा करता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: symmetricसममित
Step 1: If (a+b=5), then (b+a=5) also holds. Step 2: So whenever ((a,b)) is in the relation, ((b,a)) is also in it. Step 3: But pairs such as ((1,1)) are absent, so it is not reflexive.चरण 1: यदि (a+b=5), तो (b+a=5) भी होगा। चरण 2: इसलिए ((a,b)) के साथ ((b,a)) भी संबंध में होगा। चरण 3: लेकिन ((1,1)) जैसे विकर्ण युग्म नहीं मिलते, इसलिए प्रतिवर्ती न मानें।
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