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

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

Let f be the realtion on the set N of natural numbers defined by f={(n,3n):n in N} is a function from N to N?If so,find the range of f.

Let * be a binary operation on N , the set of all natural numbers defined by a * b = a^b , a, b in N . Is (N,*) associative or commutative?

Let R be a relation in the set N of natural numbers given by R={(a,b):a=b-2} . Choose the correct answer.a) (2,3)inR b) (3,8)inR c) (6,8)inR d) (8,7)inR

Consider the relation in the set N of natural numbers defined as R={(a,b):ab is a factor of 6}. Determine whether the relation is reflexive, symmetric or transitive.

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.

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 .