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For any relation (R), what is (R\cap R^{-1}) always like?किसी संबंध (R) के लिए (R\cap R^{-1}) हमेशा कैसा होता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: symmetricसममित
Step 1: If ((a,b)\in R\cap R^{-1}), then ((a,b)\in R) and ((a,b)\in R^{-1}). Step 2: This means ((b,a)\in R) as well. Step 3: Hence ((b,a)) also lies in (R\cap R^{-1}), so the relation is symmetric.चरण 1: यदि ((a,b)\in R\cap R^{-1}), तो ((a,b)\in R) और ((a,b)\in R^{-1})। चरण 2: इसका अर्थ है कि ((b,a)\in R) भी है। चरण 3: इसलिए ((b,a)) भी (R\cap R^{-1}) में होगा, अतः संबंध सममित है।
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