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On (A={1,2,3,4}), (R={(a,b):|a-b|\text{ is even}}). What is (R)?(A={1,2,3,4}) पर (R={(a,b):|a-b|\text{ सम है}}) है। (R) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Symmetricसममित है
Step 1: (|a-b|=|b-a|) is always true. Step 2: Therefore if (|a-b|) is even, then (|b-a|) is also even. Step 3: Absolute-difference relations usually preserve symmetry because the difference value stays the same.चरण 1: (|a-b|=|b-a|) हमेशा सत्य है। चरण 2: इसलिए यदि (|a-b|) सम है, तो (|b-a|) भी सम होगा। चरण 3: निरपेक्ष अंतर वाले संबंधों में उलटा युग्म वही अंतर देता है।
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