MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions
Problem
On the set of real numbers R, a relation R is defined by aRb if ∣a∣=∣b∣. Which one of the following statements about R is true?
(a) R is symmetric and transitive but not reflexive.
(b) R is reflexive and symmetric but not transitive.
(c) R is an equivalence relation.
(d) R is reflexive and transitive but not symmetric.