[" 11.Let "N" be the set of natural numbers and relation "R" on "N" be defined by "R=(x,y)],[x,y in N,x+4y=10}" check whether "R" is reflexive,symmetric and transitive."]

Let Q be the set of rational number and R be the relation on Q defined by R={(x,y):x,y in Q , x^(2)+3y^(2)=4xy} check whether R is reflexive, symmetric and transitive.

Let N be the set of natural numbers and the relation R be defined on N such that R={(x,y) : y=2x, y in N} ,

Let R be a relation on the set N be defined by {(x,y)|x,yepsilonN,2x+y=41} . Then prove that the R is neither reflexive nor symmetric and nor transitive.

Let R be a relation on the set N be defined by {(x,y)|x,yepsilonN,2x+y=41} . Then prove that the R is neither reflexive nor symmetric and nor transitive.

Let N be the set of all natural numbers and R be a relation in N defined by : R = {(a, b) : a is a factor of b} Show that R is reflexive and transitive.

Let N be the set of all natural niumbers and let R be a relation in N , defined by R={(a,b):a" is a factor of b"}. then , show that R is reflexive and transitive but not symmetric .

Let N be the set of natural numbers and the relation R be defined on N such that R = {(x, y) : y = 2x, x, y in N} . Is this relation a function ?