Q43

MCQ2 marks, −0.67

A relation $R$ is said to be circular if $a\text{R}b$ and $b\text{R}c$ together imply $c\text{R}a$ . Which of the following options is/are correct?

(A)

If a relation $S$ is reflexive and symmetric, then $S$ is an equivalence relation.

(B)

If a relation $S$ is circular and symmetric, then $S$ is an equivalence relation.

(C)

If a relation $S$ is reflexive and circular, then $S$ is an equivalence relation.

(D)

If a relation $S$ is transitive and circular, then $S$ is an equivalence relation.

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