Sets, Relations...

Given the relation on R = {(a, b), (b, c)} in the set A = {a, b, c} Then the minimum number of ordered pairs which added to R make it an equivalence relation is

Let R be the relation over the set N × N and is defined by (a,b) R (c,d) ⇒ a + d = b + c Then R is

R = {(x, y) / x, y ϵ I, x² + y² ≤ 4} is a relation in I then domain of R is

An integer m is said to be related to another integer n if m is a multiple of n then the relation is

If S is defined on R by (x,y) ϵ S ⇔ xy ≥ 0. Then S is......

If A = {1,2,3}, then the number of equivalence relation containing (1,2) is

For n, m ϵ N n/m means that n is a factor of m, the relation / is

Let R be a relation on N defind by R = {(x, y) / x + 2y = 8} The domain of R is

A real valued function f(x) satisfies the functional equation f(x - y) = f(x) f(y) - f(3 - x) f (3 + y) where f(0) = 1, f(6 - x) is equal to

If f(2x + 3y, 2x - 3y) = 24xy then f(x, y) is