Consider the binary operation `ast` : `QtoQ` where Q is the set of rational numbers as defined as `aastb=a+b-ab`
Find `2ast3`

Consider the binary operation ast : QtoQ where Q is the set of rational numbers as defined as aastb=a+b-ab Is identity for ast exist? If yes, find the identity element.

Consider the binary operation ast : QtoQ where Q is the set of rational numbers as defined as aastb=a+b-ab Are elements of Q invertible? Is yes, find the inverse of an element in Q

Consider the binary operation **:QrarrQ ,where Q is the set of rational numbers,is defined as a*b=a+b-ab.(i).Is * associative?Justify your answer.

Consider the binary operation ast on the set R of real numbers, defined by aastb = a b / 4 Find the inverse of 5.

Consider the binary operation ast on the set R of real numbers, defined by aastb=a b /4 Show that ast is commutative and associative.

Let ast be a binary operation on the set of all real numbers R defined by aastb=a+b+a^2b for a, b R. Find 2ast6 and 6ast2 .

Let ast be a binary operation on the set Q of rational numbers by aastb=2a+b . Find 2ast(3ast4) and (2ast3)ast4 .

Let ast be a binary operation on the set Q of rational numbers defined by aastb=frac(ab)(3) . Check whether ast is commutative and associative?

Let ast be a binary operation on the set of all real numbers R defined by aastb=a+b+a^2b for a, b R. Find the identity elements in R if exists.

If R is a relation on the set N of natural numbers defined by a+3b=12 .Find R.