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On (A={1,2,3}), (R={(a,b):a^2=b^2}). What type of relation is (R)?(A={1,2,3}) पर (R={(a,b):a^2=b^2}) है। (R) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is symmetricसममित है
Step 1: If (a^2=b^2), then reversing the equality gives (b^2=a^2). Step 2: Hence ((a,b)\in R) implies ((b,a)\in R). Step 3: Relations based on equality are often checked by simply reversing the equality.चरण 1: यदि (a^2=b^2), तो समानता पलटने पर (b^2=a^2) भी सत्य है। चरण 2: इसलिए ((a,b)\in R) से ((b,a)\in R) मिलता है। चरण 3: समानता वाले संबंधों में अक्सर सममितता सीधे उलटकर जांची जाती है।
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