Let Q be the set of all rational numbers and * be the binary operation , defined by `a`*`b=a+ab` for all `a, b in Q.` then ,

Let Q be the set of Rational numbers and ' ast ' be the binary operation on Q defined by ' aastb=frac(ab)(4) ' for all a,b in Q. What is the identity element of ' ast ' on Q?

Let Q be the set of Rational numbers and ' ast ' be the binary operation on Q defined by ' aastb=frac(ab)(4) ' for all a,b in Q. Find the inverse element of ' ast ' on Q.

Q^+ is the set of all positive rational numbers with the binary operation * defined by a*b= (a b)/2 for all a ,\ b in Q^+ . The inverse of an element a in Q^+ is a (b) 1/a (c) 2/a (d) 4/a

If Q_(1) is the set of all rationals other than 1 with the binary operation defined by a. b = a + b - ab for all a, b in Q_(1) , then the identity in Q_(1) with respect to is

On the set Q^+ of all positive rational numbers if the binary operation * is defined by a * b = 1/4ab for all a,b in Q^+ find the identity element in Q^+ .

Q^(+) is the set of all positive rational numbers with the binary operation * defined by a*b=(ab)/(2) for all a,b in Q^(+). The inverse of an element a in Q^(+) is a (b) (1)/(a)( c) (2)/(a) (d) (4)/(a)

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 A = Q xx Q , where Q is the set of all rational numbers and * be a binary operaton on A defined by (a,b) * (c,d) = (ac, ad+b) for all (a,b), (c,d) in A. Then find the identify element of * in A.