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If (a*b=a+b) is defined on real numbers, what type of operation is it?यदि (a*b=a+b) वास्तविक संख्याओं पर परिभाषित है, तो यह संक्रिया कैसी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Commutativeक्रमविनिमेय
Step 1: For commutativity, check (a*b=b*a). Step 2: Since (a+b=b+a), we get (a*b=b*a). Step 3: Addition-based operations often remain unchanged when order is changed.चरण 1: क्रमविनिमेयता में (a*b=b*a) जाँचा जाता है। चरण 2: (a+b=b+a), इसलिए (a*b=b*a)। चरण 3: जोड़ पर आधारित संक्रिया में क्रम बदलने से मान नहीं बदलता।
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