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In the operation (a\ast b=2ab), what is the inverse of (4)?क्रिया (a\ast b=2ab) में (4) का प्रतिलोम क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{1}{16})(\frac{1}{16})
Step 1: First find the identity: (2ae=a), so (e=\frac{1}{2}). Step 2: Let the inverse of (4) be (x). Then (2\cdot4\cdot x=\frac{1}{2}), giving (x=\frac{1}{16}). Step 3: The target of an inverse is always the identity.चरण 1: पहले तत्समक निकालें: (2ae=a), इसलिए (e=\frac{1}{2})। चरण 2: (4) का प्रतिलोम (x) है, अतः (2\cdot4\cdot x=\frac{1}{2})। इससे (x=\frac{1}{16}) मिलता है। चरण 3: प्रतिलोम का लक्ष्य हमेशा तत्समक होता है।
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