Let * be a binary operation defined on the set of non-zero rational number, by `a**b = (ab)/(4)`. Find the identity element.

Let * be a operation defined on the set of non zero rational numbers by a * b = (ab)/4 Find the identity element.

Is the binary operation ** defined on the set of rational numbers by the rule a**b=ab//4 associative ?

Let * be a binary operation on the set Q of rational numbers as follows : a*b = (ab)/4 find is it commutative.

Let ** be a binary operation on QQ_(0) (Set of all non-zero rational numbers) defined by a**b=(ab)/(4),a,binQQ_(0) . The identity element in QQ_(0) is e , then the value of e is--

Let * be a binary operation defined on Q, the set of rational numbers, as follows: a*b = (ab)/4, for a,b in Q Find which of the binary operations are commutative and which are associative.

Let * be a binary operation on the set S of all non-negative real numbers defined by a**b= sqrt(a^(2)+b^(2)) . Find the identity elements in S with respect to *.

Let ** be a binary operation on the set Q of rational numbers as follows : a "*" b = (ab)/(4) Find which of the binary operations are commutative and which are associative.

A binary operation ** is defined in QQ_(0) , the set of all non-zero rational numbers, by a**b=(ab)/(3) for all a,binQQ_(0) . Find the identity element in QQ_(0) . Also find the inverse of an element x in QQ_(0) .

Let t be a binary operation on Q_(0)( set of non- zero rational numbers) defined by a*b=(3ab)/(5) for all a,b in Q_(0) Find the identity element.

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.