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If (a*b=\frac{a+b}{2}), is this operation associative?यदि (a*b=\frac{a+b}{2}) है, तो क्या यह संक्रिया साहचर्य है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: No generally notनहीं सामान्यतः नहीं
Step 1: (1*3=2), so ((1*3)*5=2*5=\frac{7}{2}). Step 2: (3*5=4), so (1*(3*5)=1*4=\frac{5}{2}). Step 3: The two values are different, so the operation is generally not associative.चरण 1: (1*3=2), इसलिए ((1*3)*5=2*5=\frac{7}{2})। चरण 2: (3*5=4), इसलिए (1*(3*5)=1*4=\frac{5}{2})। चरण 3: दोनों मान अलग हैं, इसलिए संक्रिया सामान्यतः साहचर्य नहीं है।
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