Mark the correct alternative in each of the following: Let * be a binary operation defined on set Q – {1} by the rule a * b = a + b – ab. Then, the identity element for * is

Question

Philoid · Accepted Answer

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

Given

⇒ a * e =a + e – ae

=a

⇒ a + e - ae=a

⇒ e(1-a) =0

⇒ e=0

Mark the correct alternative in each of the following:Let * be a binary operation defined on set Q – {1} by the rule a * b = a + b – ab. Then, the identity element for * is

Mark the correct alternative in each of the following:
Let * be a binary operation defined on set Q – {1} by the rule a * b = a + b – ab. Then, the identity element for * is