Define `*" on Q as " a * b =((2a+b)/(2)), a , b in Q`. Then the identify element is :

On the set Q+ of all positive rational numbers, define a binary operation * on Q+ by a*b = (ab)/(3)AA (a,b) in Q^(+) . Then, find the identity element in Q for*.

Define an operation * on Q as follows: a * b =((a+b)/(2)), a, b in Q . Examine the existence of identify and existence of inverse for the operation * on Q.

Define an operation * on Q as follows: a * b =((a+b)/(2)), a, b in Q . Examine the closure, communative, and associative properties satisfied by * on Q.

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 defined on set Q-{1} by the rule a * b=a+b-a b . Then, the identity element for * is

The operation * on Q -(1) is define dby a*b = a+b - ab for all a,b in Q - (1) Then the identity element in Q -(1) is

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.

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