In the set `S=R-{1}` under the binary operation `o` given by `a o b=a+b+ab` ,the identity element is
(a) `1`
(b) `0`
(c) `-1`
(d) does not exist

For the binary operation * on Z defined by a*b=a+b+1 the identity element is (a)0(b)-1(c)1(d)2

On the set Z of integers,if the binary operation * is defined by a*b=a+b+2 then find the identity element.

Let * be a binary operation on N defined by a*b=a+b+10 for all a , b in N . The identity element for * in N is (a) -10 (b) 0 (c) 10 (d) non-existent

Consider the set Q with binary operation '**' as: a**b=(ab)/(4) . Then, the identity element is:

Let * be a binary operation o Q defined by a^(*)b=(ab)/(4) for all a,b in Q,find identity element in Q

Determine the total number of binary operations on the set S={1,2} having 1 as the identity element.

Let * be a binary operation defined on set Q-{1} by the rule a*b=a+b-ab .Then, the identity element for * is (a) 1 (b) (a-1)/(a) (c) (a)/(a-1) (d) 0

The additive identity element in the set of integers is (a)1 (b) -1 (c) 0 (d) none of these

Consider the binary operation * defined on Q-{1} by the rule a*b=a+b-a b for all a ,\ b in Q-{1} . The identity element in Q-{1} is (a) 0 (b) 1 (c) 1/2 (d) -1