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On a set (A), (R={(a,b):a\ne b}). Choose the correct statement about (R).समुच्चय (A) पर (R={(a,b):a\ne b}) है। (R) के बारे में सही कथन चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is symmetricयह सममित है
Step 1: If (a\ne b), then (b\ne a) is also true. Step 2: Hence whenever ((a,b)) is in the relation, ((b,a)) is also in it. Step 3: The not-equal condition does not change when the order is reversed.चरण 1: यदि (a\ne b), तो (b\ne a) भी सत्य है। चरण 2: इसलिए ((a,b)) संबंध में होने पर ((b,a)) भी संबंध में होगा। चरण 3: बराबर न होने की शर्त दिशा बदलने पर नहीं बदलती।
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