If $\mathrm{R}=\left\{\right(\mathrm{x},\mathrm{y}):\mathrm{x}$ $x$ s father of $y$}, then R is

Here, R is not reflexive; as x cannot be father of $x$, for any $x$, 

R is not symmetric as if $x$ is father of $y$, then $y$ cannot be father of $x$. 

R is not transitive as if $x$ is father of $y$ and $y$ is father of $z$, then $x$ is grandfather (not father) of $z$.