For the set , which of the following relations on is reflexive and symmetric but not…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

For the set A={1,2,3}A=\{1,2,3\}, which of the following relations on AA is reflexive and symmetric but not transitive? (a) {(1,1),(2,2),(3,3),(1,2),(2,1)}\{(1,1),(2,2),(3,3),(1,2),(2,1)\} (b) {(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}\{(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)\} (c) {(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}\{(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)\} (d) {(1,2),(2,1),(2,3),(3,2)}\{(1,2),(2,1),(2,3),(3,2)\}

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