If the points $( 1, 1 , p)$ and $(– 3 , 0, 1)$ be equidistant from the plane $\hat{r} . (3\hat{i} +4\hat{j} -12\hat{k} +13) = 0$ then find the value of $p$.

Question

$\begin{array}{1 1} (A)\; p=1\:\:or\:\:\large\frac{7}{3} \\(B)\; p=1 \\ (C)\; p=\large\frac{7}{3} \\ (D)\; p=-1 \end{array}$