GATE Computer Science (CS) 2021 Shift 1 Solved Paper

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Question : 53 of 65

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A relation R is said to be circular if aRb and bRc together imply cRa. Which of the following options is/are correct?

If a relation S is transitive and circular, then S is an equivalence relation.
If a relation S is reflexive and symmetric, then S is an equivalence relation.
if a relation S is reflexive and circular, then S is an equivalence relation.
if a relation S is circular and symmetric, then S is an equivalence relation.

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