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On integers, (a*b=ab+1) is defined. Is this operation commutative?पूर्णांकों पर (a*b=ab+1) परिभाषित है। यह संक्रिया क्रमविनिमेय है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Yesहाँ
Step 1: (a*b=ab+1) and (b*a=ba+1). Step 2: Since (ab=ba), both values are equal. Step 3: The commutativity of multiplication often helps in checking new operations.चरण 1: (a*b=ab+1) और (b*a=ba+1)। चरण 2: क्योंकि (ab=ba), दोनों मान बराबर हैं। चरण 3: गुणा की क्रमविनिमेयता कई नई संक्रियाओं में भी सहायक होती है।
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