1.

Let S be the set of all rational numbers except 1 and * be defined on S by a * b = a + b - ab, for all a, b ∈ S.Prove that:(i) * is a binary operation on S(ii) * is commutative as well as associative. [CBSE 2014]

Answer»

Let S be the set of all rational numbers except 1 and * be defined on S by a * b = a + b - ab, for all a, b S.

Prove that:

(i) * is a binary operation on S

(ii) * is commutative as well as associative. [CBSE 2014]



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