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

Question

$x^2 - y^2 = 32$

$\frac{x^2}{4} - \frac{y^2}{9} = 1$

$2x^2 - 3y^2 = 7$

$y^2 - x^2 = 32$

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