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On (A={1,2,3}), (R={(a,b):a^2=b^2}). Is (R) reflexive?(A={1,2,3}) पर (R={(a,b):a^2=b^2}) है। (R) परावर्ती है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Yes, because (a^2=a^2)हाँ, क्योंकि (a^2=a^2)
Step 1: For reflexivity, put (b=a). Step 2: Then (a^2=b^2) becomes (a^2=a^2), which is true. Step 3: In equality-based rules, test equality of an element with itself.चरण 1: परावर्ती जांच में (b=a) रखें। चरण 2: तब (a^2=b^2) का रूप (a^2=a^2) बनता है, जो सत्य है। चरण 3: बराबरी आधारित नियमों में अपने-आप की बराबरी तुरंत जांचें।
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