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 Q_0 (set of all non-zero rational numbers) defined by a*b=(a b)/4 for all a , b in Q_0dot Then, find the identity element in Q_0 inverse of an element in Q_0dot

Let '*' be a binary operation on Q_0 (set of all non-zero rational numbers) defined by a*b=(a b)/4 for all a , b in Q_0dot Then, find the identity element in Q_0 inverse of an element in Q_0dot

Let '*' be a binary operation on Q_0 (set of all non-zero rational numbers) defined by a*b=(a b)/4 for all a , b in Q_0dot Then, find the identity element in Q_0 inverse of an element in Q_0dot

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_0 . Show that * is commutative as well as associative. Also, find the identity element, if it exists.

Let * be a binary operation on the set Q_0 of all non-zero rational numbers defined by a*b= (a b)/2 , for all a ,\ b in Q_0 . Show that (i) * is both commutative and associative (ii) Find the identity element in Q_0 (iii) Find the invertible elements of Q_0 .

Let * be a binary operation on N, the set of natural numbers, defined by a*b= a^b for all a , b in Ndot Is '*' commutative on N ?

Let * be a binary operation, on the set of all non-zero real numbers, given by a*b=(a b)/5 for all a ,\ b in R-{0} . Write the value of x given by 2*(x*5)=10 .

Let * be a binary operation on N, the set of natural numbers, defined by a*b= a^b for all a , b in Ndot Is '*' associative or commutative on N ?

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-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.