Let * be a binary operation on set `Q-[1]` defined by `a*b=a+b-a b` for all`a , b in Q-[1]dot` Find the identity element with respect to `*onQdot` Also, prove that every element of `Q-[1]` is invertible.

Let ^(*) be a binary operation on set Q-[1] defined by a*b=a+b-ab for all a,b in Q-[1]. Find the identity element with respect to * on Q. Also,prove that every element of Q-[1] is invertible.

On Q, the set of all rational numbers, a binary operation * is defined by a*b=(a b)/5 for all a , b in Qdot Find the identity element for * in Q. Also, prove that every non-zero element of Q is invertible.

On Q, the set of all rational numbers, a binary operation * is defined by a*b=(a b)/5 for all a , b in Qdot Find the identity element for * in Q. Also, prove that every non-zero element of Q is invertible.

On R-[1] , a binary operation * is defined by a*b=a+b-a b . Prove that * is commutative and associative. Find the identity element for * on R-[1]dot Also, prove that every element of R-[1] is invertible.

Let * be a binary operation on Z defined by a*b=a+b-4 for all a,b in Z. Find the identity element in Z .(ii) Find the invertible elements in Z .

On Q,the set of all rational numbers,a binary operation * is defined by a*b=(ab)/(5) for all a,b in Q. Find the identity element for * in Q Also,prove that every non-zero element of Q is invertible.

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

Let * be a binary operation on Q_0 (set of non-zero rational numbers) defined by a*b=(3a b)/5 for all a , b in Q_0dot Find the identity element.

Let ** be a binary operation on set QQ-{1} defined by a**b=a+b-abinQQ-{1}. e is the identity element with respect to ** on QQ . Every element of QQ-{1} is invertible, then value of e and inverse of an element a are---

On R-[1], a binary operation * is defined by a*b=a+b-ab. Prove that * is commutative and associative.Find the identity element for * on R-[1]. Also,prove that every element of r-[1] is invertible.