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On real numbers, (a*b=a+b-2ab) is defined. What is the inverse of (3)?वास्तविक संख्याओं पर (a*b=a+b-2ab) परिभाषित है। (3) का प्रतिलोम क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{3}{5})(\frac{3}{5})
Step 1: From (a*e=a), the identity is (0). Step 2: For inverse (b), (3+b-6b=0), so (3-5b=0). Step 3: Hence (b=\frac{3}{5}). Always equate the operation result to the identity.चरण 1: (a*e=a) से (e=0) मिलता है। चरण 2: प्रतिलोम (b) के लिए (3+b-6b=0), इसलिए (3-5b=0)। चरण 3: (b=\frac{3}{5}), इसलिए प्रतिलोम निकालते समय परिणाम को तत्समक के बराबर रखें।
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