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Subjective
GATE CSE 1999
(a) Mr. X claims the following:If a relation R is both symmetric and transitive, then R is reflexive. For this, Mr. X offers the following proof."From xRy, using symmetry we get yRx. Now because R is transitive, xRy and yRx togethrer imply xRx. Therefore, R is reflextive."
Briefly point out the flaw in Mr. X' proof.(b) Give an example of a relation R which is symmetric and transitive but not reflexive.