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If (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)}), which property is definitely absent?यदि (A={1,2,3}) और (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)}), तो कौन सा गुण निश्चित रूप से नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Symmetryसममितता
Step 1: All three self-pairs are present, so the relation is reflexive. Step 2: ((1,3)) is present but ((3,1)) is not. Step 3: Therefore, symmetry is definitely absent.चरण 1: तीनों स्वयं युग्म मौजूद हैं इसलिए संबंध स्वपरक है। चरण 2: ((1,3)) मौजूद है लेकिन ((3,1)) नहीं है। चरण 3: इसलिए सममितता निश्चित रूप से नहीं है।
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