Q. 25.0( 1 Vote )

Find the identity

Answer :

Given that binary operation ‘*’ is valid for set of all rational numbers Q defined by a*b = a + b + ab for all a,bR.


Let us assume aR and the identity element that we need to compute be eR.


We know that he Identity property is defined as follows:


a*e = e*a = a


a + e + ea = a


e + ae = a – a


e(1 + a) = 0


e = 0


The required Identity element w.r.t * is 0.


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