Find the values of $\theta$ and $p$, if the equation $x\: \cos \theta + y \sin \theta = p$ is the normal form of the line $\sqrt 3 x+y+2=0.$

Question

$\begin {array} {1 1} (A)\;\theta = \large\frac{5\pi}{6}\: and \: p = 1 & \quad (B)\;\theta = \large\frac{5\pi}{6}\: and \: p = -1 \\ (C)\;\theta = \large\frac{7\pi}{6}\: and \: p = 1 & \quad (D)\;\theta = \large\frac{7\pi}{6}\: and \: p = -1 \end {array}$