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On real numbers, (a*b=\frac{a+b}{2}) is given. Is this operation commutative?वास्तविक संख्याओं पर (a*b=\frac{a+b}{2}) दिया है। यह संक्रिया क्रमविनिमेय है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Yes because (a+b=b+a)हाँ क्योंकि (a+b=b+a)
Step 1: (a*b=\frac{a+b}{2}) and (b*a=\frac{b+a}{2}). Step 2: Since (a+b=b+a), both are equal. Step 3: For commutativity, compare the values in both orders.चरण 1: (a*b=\frac{a+b}{2}) और (b*a=\frac{b+a}{2}) है। चरण 2: (a+b=b+a), इसलिए दोनों बराबर हैं। चरण 3: क्रमविनिमेयता में दोनों क्रमों के मानों की तुलना करें।
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