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If (R={(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}) on (A={1,2,3}), which property does (R) have?यदि (A={1,2,3}) पर (R={(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}), तो (R) में कौन सा गुण है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Symmetryसममितता
Step 1: Every distinct pair has its reverse in the relation. Step 2: ((1,2)) has ((2,1)), ((2,3)) has ((3,2)), and ((1,3)) has ((3,1)). Step 3: Complete presence of reverse pairs shows symmetry.चरण 1: प्रत्येक अलग युग्म का उल्टा युग्म संबंध में है। चरण 2: ((1,2)) के साथ ((2,1)), ((2,3)) के साथ ((3,2)), और ((1,3)) के साथ ((3,1)) हैं। चरण 3: उल्टे युग्मों की पूरी उपस्थिति सममितता दिखाती है।
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