(c): $\left( x_{1},y_{1} \right)R\left( x_{2},y_{2} \right)$\\ $\Rightarrow \ x_{1} \leq x_{2}$ or $y_{1} \leq y_{2}$\\ For reflexive :\\ $\left( x_{1},y_{1} \right)R\left( x_{1},y_{1} \right)$ $\Rightarrow \ x_{1} \leq x_{1}$ or $y_{1} \leq y_{1}$ which is true.\\ So, $R$ is reflexive.\\ For symmetric :\\ When $\left( x_{1},y_{1} \right)R\left( x_{2},y_{2} \right)$\\ $\Rightarrow \ x_{1} \leq x_{2}$ $y_{1} \leq y_{2}$\\ $\Rightarrow x_{2} \leq x_{1}$ or $y_{2} \leq y_{1}$\\ They may or may not be true.\\ For example $(1,2)$ and $(3,4)$\\ $1 \leq 3$ and $2 \leq 4$ but $3 \nleq 1$ and $4 \nleq 2$.\\ $\therefore\ R$ is not symmetric.\\ For transitive :\\ Take pairs as $(3,9),(4,6),(2,7)$\\ $(3,9)R(4,6)$ as $4 \geq 3$\\ $(4,6)R(2,7)$ as $7 \geq 6$\\ But $(3,9)R(2,7)$, as neither $2 \geq 3$ nor $7 \geq 9$\\ So, $R$ is not transitive.