The relation R given by `{(x, y):x^(2)-3xy+2y^(2)=0, AA x, y in 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?

Let X={1,2,3,4,5,6,7,8,9} . Let R_1 be a relation in X given by R_1 ={(x, y): x-y is divisible by 3} and R_2 be another relation on X given by R_2={(x, y):{x ,y} sub{1,4,7} or {x, y} sub {2,5,8} or . {x, y}sub {3,6,9}} . Show that R_1=R_2

Let f(x,y)=x^(2)+2xy+3y^(2)-6x-2y, where x, y in R, then

Let f(x,y)=x^(2)+2xy+3y^(2)-6x-2y, where x, y in R, then

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 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 :

Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9} . Let R_1 be a relation in X given by R_1 = {(x, y) : x – y is divisible by 3} and R_2 be another relation on X given by R_2 = {(x, y): {x, y} sub {1, 4, 7} or {x, y} sub {2, 5, 8} or {(x, y} sub {3, 6, 9} . Show that R_1 = R_2 .

Let X={1, 2, 3, 4, 5, 6, 7, 8, 9} , Let R_1 be a relation on X given by R_1={(x , y): x-y is divisible by 3} and R_2 be another relation on X given by R_2={(x , y):{x , y}sub{1, 4, 7} or {x , y}sub{2, 5, 8} or {x , y}sub{3, 6, 9}}dot Show that R_1=R_2 .

y = f(x) , Where f satisfies the relation f(x + y) = 2f(x) + xf(y) + ysqrt(f(x)) AA x, y in R and f'(0) = 0 . Then f(6) is equal to ………

Let a continuous function f(x) on R rarr R be defined such that it satisfies the relation f(x)+f(x+2y)+3xy=2f(2y-x)+2y^(2)AA x,y in R Then which of the following is true