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On non-zero real numbers, (a*b=\frac{ab}{2}) is defined. What is the identity element for this operation?अशून्य वास्तविक संख्याओं पर (a*b=\frac{ab}{2}) परिभाषित है। इस क्रिया के लिए तत्समक अवयव क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2)(2)
Step 1: Put (a*e=a). Step 2: (\frac{ae}{2}=a). Since (a\neq 0), we get (e=2). Step 3: Before dividing by a variable, check that the set excludes zero.चरण 1: (a*e=a) रखें। चरण 2: (\frac{ae}{2}=a)। चूँकि (a\neq 0), इसलिए (e=2)। चरण 3: भाग देकर सरल करते समय यह देखना जरूरी है कि दिया गया समुच्चय अशून्य है या नहीं।
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