Check whether the following binary operation on the set R are associative and commutative.
`a ** b=((a+b))/2AAa,b in R`

Determine which of the following binary operation on the set R are associative and which are communtative. a ** b=1

Let ast be a binary operation on N defined by aastb=HCF of a and b Is ast commutative?

Let * be a binary operation on N,defined bya*b= a^b,a,binN .is * associative or commutative?

Determine whether the following is a binary operation or not?Justify a**b=2^(ab) defined on Z

Let ** ' be the binary operation on N given by a**'b = L.c.m. of a and b. Is ** commutative ?

Let* be the binary operation on N given by a*b=LCM of a and b,Is * associative?

Let * be a binary operation on setQ of rational numbers such that a**b=(2a-b)^2:a,binQ i.Find 3*5

* be a binary operation on Q,defined as a**b=(3ab)/5 .Show that *is commutative.

Let ast be a binary operation on N defined by aastb=HCF of a and b Is ast associative?

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.