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

If a relation R on the set N of natural numbers is defined as (x,y)hArrx^(2)-4xy+3y^(2)=0 , where x,y inN . Then the relation R is (a) symmetric (b) reflexive (c) transitive (d) an equivalence relation.

Let a relation R in the set of natural number be defined by (x,y) in R iff x^(2)-4xy+3y^(2)=0 for all x,y in N . Then the relation R is :

The relation R defined on the set N N of natural numbers by xRy iff 2x^(2) -3xy +y^(2) =0 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 :

Given a relation R_(1) ,on the set R ,of real numbers,as R_(1)={(x,y):x^(2)-3xy+2y^(2)=0,x,y in R} .Is the relation R reflexive or symmetric?

The relation R on the set N of all natural numbers defined by (x,y)in R hArr x divides y, for all x,y in N is transitive.

Show that the relation R on the set of natural numbers defined as R:{(x,y):y-x is a multiple of 2} is an equivalance relation

The relation R on the set N of all natural numbers defined by (x ,\ y) in RhArrx divides y , for all x ,\ y in N is transitive.

Determine whether each of the following relations are reflexive, symmetric and transitive : (i) Relation R in the set A = {1, 2, 3,......, 13, 14} defined as R={(x,y): 3x-y=0} (ii) Relation R in the set N of natural numbers defined as R={(x,y): y=x+5 " and " x lt 4} (iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} defined as R = {(x, y): y is divisible by x}. iv) Relation R in the set Z, of all integers defined as R = {(x, y) : x -y is an integer}.

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