Find the equations of the hyperbola satisfying the given conditions : Foci $(\pm 4, 0)$, the latus rectum is of length $12$

Question

$\begin {array} {1 1} (A)\;\large\frac{x^2}{4}+\large\frac{y^2}{12}=1 & \quad (B)\;\large\frac{x^2}{12}+\large\frac{y^2}{4}=1 \\ (C)\;\large\frac{x^2}{4}-\large\frac{y^2}{12}=1 & \quad (D)\;\large\frac{y^2}{12}-\large\frac{x^2}{4}=1 \end {array}$