The diameter of $16x^2-9y^2=144$ which is conjugate to $x=2y$ is

Question

$\begin{array}{1 1}(A)\;y=\large\frac{16 x}{9} \\(B)\;y= \large\frac{32 x}{9} \\(C)\;x= \large\frac{16 y}{9} \\(D)\;x= \large\frac{32 y}{9} \end{array}$