Let R be the relation defined on the set N of natural numbers by the rule xRy iff x + 2y = 8, then domain of R is

Prove that the relation R defined on the set N of natural numbers by xRy iff 2x^(2) - 3xy + y^(2) = 0 is not symmetric but it is reflexive.

If R is a relation defined on the set Z of integers by the rule (x,y)in R hArr x^(2)+y^(2)=9, then write domain of R.

Let R be a relation defined on the set of natural numbers N as R={(x,y):x,y in N,2x+y=41} Find the domain and range of R .Also,verify whether R is (i) reflexive,(ii) symmetric (iii) transitive.

Let 'R' be the relation defined on the of natural numbers 'N' as , R={(x,y):x+y=6} ,where x, y in N then range of the relation R is

Let R be a relation defined on the set Z of all integers and xRy when x+2y is divisible by 3.then

Let R be a relation on the set N of natural numbers defined by n\ R\ m if n divides m . Then, R is

Let a R b the relation on the set N of all natural numbers defined by a+3b = 12. Find the obtain and range of R.

Let R be a relation defined on the set of natural numbers as: R={(x,y): y=3x, y in N} Is R a function from N to N? If yes find its domain, co-domain and range.