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Let a binary operation ‘*’ be defined on a set A. The operation will be commutative if ________(a) a*b=b*a(b) (a*b)*c=a*(b*c)(c) (b ο c)*a=(b*a) ο (c*a)(d) a*b=aThis question was addressed to me in my homework.I want to ask this question from Binary Operations topic in division Relations and Functions of Mathematics – Class 12

Answer»

Right answer is (a) a*B=b*a

The explanation: A BINARY OPERATION ‘*’ defined on a set A is said to be commutative only if a*b=b*a, ∀a, b∈A.

If (a*b)*c=a*(b*c), then the operation is said to associative ∀ a, b∈ A.

If (b ο c)*a=(b*a) ο (c*a), then the operation is said to be distributive ∀ a, b, c ∈ A.



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