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The relation (R={(x,y):x-y=2}) is given on real numbers. Why is it not symmetric?संबंध (R={(x,y):x-y=2}) वास्तविक संख्याओं पर दिया है। यह सममित क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because after reversing, (y-x=2) need not holdक्योंकि उलटने पर (y-x=2) जरूरी नहीं होता
Step 1: For symmetry, ((y,x)) must satisfy the same condition whenever ((x,y)) does. Step 2: If (x-y=2), then generally (y-x=2) is not true. Step 3: Be careful with subtraction-based conditions because order matters.चरण 1: सममितता में ((x,y)) के साथ ((y,x)) को भी वही शर्त पूरी करनी चाहिए। चरण 2: यदि (x-y=2), तो सामान्यतः (y-x=2) नहीं होगा। चरण 3: घटाव वाली दिशा-निर्भर शर्तों में सावधानी रखें।
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