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The operation (a\ast b=2ab) is given on non-zero real numbers. What is the identity element?क्रिया (a\ast b=2ab) अशून्य वास्तविक संख्याओं पर दी गई है। तत्समक अवयव क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{1}{2})(\frac{1}{2})
Step 1: Put (a\ast e=a). Step 2: (2ae=a) and (a\neq0), so (2e=1) and (e=\frac{1}{2}). Step 3: If multiplication has a coefficient, the identity can change.चरण 1: (a\ast e=a) रखें। चरण 2: (2ae=a) और (a\neq0), इसलिए (2e=1) और (e=\frac{1}{2})। चरण 3: गुणा में गुणांक हो तो तत्समक बदल सकता है।
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