Question

$R\subseteq A\times A,(A\ne 0)$ is an equivalence relation if $R$ is

• A. Reflexive, symmetric but not transitive
• B. Reflexive, neither symmetric nor transitive
• C. Reflexive, symmetric and transitive
• D. None of the above

Answer 1

The correct option is C

Reflexive, symmetric and transitive

Explanation for the correct option:

Since, An Equivalence Relation is one that is Reflexive, Symmetric and Transitive as well.

It is given to us that $R\subseteq A\times A,(A\ne 0)$ is an equivalence relation So, To be an equivalence relation

$R$ must be Reflexive, Symmetric and Transitive Relation.

Hence, the correct option is (C)