If a relation on a set is reflexive and symmetric but not transitive
MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions
Problem
If a relation R on a set A is reflexive and symmetric but not transitive, which of the following best describes R?
(a) A relation with none of the three properties
(b) An equivalence relation
(c) A relation that satisfies exactly two of the three properties
(d) A relation that is symmetric and transitive but not reflexive