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On (\mathbb{Q}\setminus{0}), (a*b=\frac{ab}{2}). What is the inverse of (5)?समुच्चय (\mathbb{Q}\setminus{0}) पर (a*b=\frac{ab}{2}) है। (5) का प्रतिलोम क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{4}{5})(\frac{4}{5})
Step 1: The identity of this operation is (2). Step 2: For inverse (x), (5*x=2), so (\frac{5x}{2}=2). Hence (x=\frac{4}{5}). Step 3: Do not confuse operation inverse with ordinary reciprocal.चरण 1: इस संक्रिया का तत्समक (2) है। चरण 2: प्रतिलोम (x) के लिए (5*x=2), यानी (\frac{5x}{2}=2)। इससे (x=\frac{4}{5})। चरण 3: प्रतिलोम को सामान्य गुणा का प्रतिलोम समझकर जल्दी उत्तर न दें।
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