Write the identity element for the binary operations * on the set `R_0` of all non-zero real numbers by the rule `a`*`b=(a b)/2` for all `a ,\ b in R_0`

Write the identity element for the binary operation * defined on the set R of all real numbers by the rule a*b= (3a b)/7 for all a ,\ b in Rdot

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 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 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 .

The binary operation defined on the set z of all integers as a ** b = |a-b| - 1 is

A binary operation * is defined on the set R of all real numbers by the rule a*b= sqrt(a^2+b^2) for all a ,\ b in R . Write the identity element for * on Rdot

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

If the operation * is defined on the set Q - {0} of all rational numbers by the rule a * b=(a b)/4 for all a ,\ b in Q - {0} . Show that * is commutative on Qdot - {0}