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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: Noनहीं
Step 1: For reflexivity, the condition becomes (a^2<a^2). Step 2: A number cannot have its square less than itself squared. Step 3: Relations with strict inequality are generally not reflexive.चरण 1: परावर्ती जांच के लिए (a^2<a^2) बनेगा। चरण 2: कोई संख्या अपने ही वर्ग से छोटी नहीं हो सकती। चरण 3: कठोर असमानता वाले संबंध सामान्यतः परावर्ती नहीं होते।
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