GATE | GATE CS 1999 | Question 51 Last Updated : 09 Oct, 2017 Improve Improve Like Article Like Save Share Report [5 Marks question] 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 yRy. Now because R is transitive, xRy and yRy together imply xRx. Therefore, R is reflexive.” Briefly point out the flaw in Mr. X’s proof. Give an example of relation R which is symmetric and transitive but not reflexive. Answer: Explanation: Quiz of this Question Like Article Suggest improvement Previous GATE | GATE CS 1999 | Question 33 Next GATE | GATE CS 1999 | Question 52 Share your thoughts in the comments Add Your Comment Please Login to comment...