Q. If $R$ is an equivalence relation on a set $A$, then $R^{- 1}$ is
A) Reflexive only
B) Symmetric but not transitive
C) Equivalence
D) None of the above
Explanation
(c)
Since, inverse of an equivalent relation is also an equivalent relation.
$\therefore R^{- 1}$ is an equivalent relation.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.