Mathematics - Sets and Relations Question with Solution | TestHub

Clearly $(\mathrm{x},\mathrm{x})\in \mathrm{R}\forall \mathrm{x}\in \mathrm{W}$. So, $\mathrm{R}$ is reflexive. Let $(x,y)\in R$, then $(y,x)\in R$ as $x$ and $y$ have at least one letter in common. So, $R$ is symmetric. But $R$ is not transitive for example Let $x=$ DELHI, $y=$ DWARKA and $z=$ PARK then $(x,y)\in R$ and $(y,z)\in R$ but $(x,z)\notin R$.