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 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 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.

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

Let R be a relation defined on the set of natural numbers x,y in N,2x+y=41} Find 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.

If a relation R on the set N of natural numbers is defined as (x,y)hArrx^(2)-4xy+3y^(2)=0,Aax,yepsilonN . Then the relation R is

Let R be a relation on the set of natural numbers ,defined as R ={(x,y):x+2y=20, x,y varepsilon N} and x varepsilon {1,2,3,4,5} .Then ,the range of R is :

Let R be a relation on the set of natural numbers N, defined as: R={(x,y):y=2x,x,y in N}. Is R a function from N xxN ? If yes find the domain, co-domain and range of R.

Prove that relation define on positive integers such as R={(x,y):x-y is divisible by 3 where x,y in N} is an equivalence relation.