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On real numbers, (a*b=a+b+5) is defined. Which type of operation is it?

Answer and explanation

Correct answer: Both commutative and associative

Step 1: (a+b+5=b+a+5), so the operation is commutative. Step 2: ((a*b)*c=a+b+c+10) and (a*(b*c)=a+b+c+10), so it is associative. Step 3: Even with a constant added, expand both sides completely.

Related tags

Binary OperationsCommutativeAssociativeRelations And FunctionsMathematicsClass 12 Mcq

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