On the set R of real numbers we define xPy if and only if xy $$ \ge $$ 0. Then, the relation P is

On R, the relation $$\rho$$ be defined by 'x$$\rho$$y holds if and only if x $$-$$ y is zero or irrational'. Then,

On set A = {1, 2, 3}, relations R and S are given by

R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)},

S = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}. Then,

Let R be a relation defined on the set Z of all integers and xRy, when x + 2y is divisible by 3, then