MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions
Problem
On the set of integers Z, define R={(a,b):a−b is divisible by 3}. Which of the following statements about R is correct?
(a) R is reflexive, symmetric and transitive
(b) R is reflexive and symmetric only
(c) R is symmetric and transitive only
(d) R is reflexive, symmetric, transitive and antisymmetric