Let `N` be the set of all natural numbers and we define a relation `R={(x ,y):x, y in N`, x+y is a multiple of 5} then the relation `R` is

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

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 Q be the set of all rational numbers and R be the relation defined as: R={(x,y) : 1+xy gt 0, x,y in Q} Then relation R is

Let R={(x,y):x^(2)+y^(2)=1,x,y in R} be a relation in R. Then the relation R is

For real numbers x and y define a relation RxRy hArr|x|=|y|, 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 :