Answer
C
Work Step by Step
Consider the give polar coordinate $\left( 3,-{{135}^{\circ }} \right)$ as $\left( r,\theta \right)$.
Here,
$\begin{align}
& \theta =-13{{5}^{\circ }} \\
& r>0 \\
\end{align}$
From above, it is clear that $\theta $ has been taken in the clockwise direction and
$r>0$, so $r$ lies on the terminal side.
Hence, $\left( 3,-{{135}^{\circ }} \right)$ coordinate lies in the third quadrant.
