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Previous Year Question (PYQs)

The relation $R=\{(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)\}$ on $A=\{1,2,3\}$ is:




Solution

Reflexive — yes (all $(a,a)$ are present). Symmetric — no, since $(1,2)\in R$ but $(2,1)\notin R$. Transitive — yes, because $(1,2)$ and $(2,3)$ imply $(1,3)$ (which exists).

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