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On (\mathbb{Q}-{0}), (a*b=\frac{ab}{5}). What is the inverse of (10)?समुच्चय (\mathbb{Q}-{0}) पर (a*b=\frac{ab}{5}) है। (10) का प्रतिलोम क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{5}{2})(\frac{5}{2})
Step 1: The identity is (5). Step 2: From (10*x=5), (\frac{10x}{5}=5), so (2x=5). Step 3: Hence (x=\frac{5}{2}); find inverse by equating to the identity.चरण 1: इस संक्रिया का तत्समक (5) है। चरण 2: (10*x=5) से (\frac{10x}{5}=5), अतः (2x=5)। चरण 3: इसलिए (x=\frac{5}{2}); प्रतिलोम को तत्समक के बराबर रखकर निकालें।
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