The distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt 2$.Its equation is

Question

$\begin{array}{1 1}x^2-y^2=32\\\large\frac{x^2}{4}-\frac{y^2}{9}\normalsize =1\\2x-3y^2=7\\4x^2-y^2=35\end{array}$