Answer
$D$
Work Step by Step
The point $(2,\frac{11\pi}{6})$ is obtained by rotating $\frac{11\pi}{6}=330^{\circ}$ anticlockwise to give an angle of $+\frac{11\pi}{6}$ and then moving $2$ units from the pole along the terminal side of angle $\frac{11\pi}{6}$. The point is $D$.