Mark the correct alternative in each of the following: Consider the binary operation * defined on Q - {1} by the rule a * b = a + b – ab for all a, b ∈ Q – {1}. The identity element in Q – {1} is

Question

Philoid · Accepted Answer

For Identity element a * e = a = e * a, with ‘e’ being the identity element.

Given a * b =a + b - ab

⇒ a * e =a + e – ae

=a

⇒ e(1-a) =0

⇒ e=0

Mark the correct alternative in each of the following:Consider the binary operation * defined on Q - {1} by the rule a * b = a + b – ab for all a, b ∈ Q – {1}. The identity element in Q – {1} is

Mark the correct alternative in each of the following:
Consider the binary operation * defined on Q - {1} by the rule a * b = a + b – ab for all a, b ∈ Q – {1}. The identity element in Q – {1} is