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On (A={1,2,3}), (R={(a,b):a+b=4}). Is (R) reflexive?(A={1,2,3}) पर (R={(a,b):a+b=4}) है। क्या (R) परावर्ती है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Noनहीं
Step 1: Check ((1,1),(2,2),(3,3)) for reflexivity. Step 2: (1+1=2) and (3+3=6), so not all self-pairs satisfy the condition. Step 3: Missing even one required self-pair means the relation is not reflexive.चरण 1: परावर्तिता के लिए ((1,1),(2,2),(3,3)) जांचें। चरण 2: (1+1=2) और (3+3=6), इसलिए सभी अपने-आप वाले युग्म नहीं मिलते। चरण 3: किसी एक अनिवार्य युग्म के न मिलने पर संबंध परावर्ती नहीं होता।
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