Hyperbola · Mathematics · COMEDK

If the distance between the foci and the distance between the two directrixes are in the ratio $$3: 2$$ for a hyperbola $$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$$, then a : b is

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

If $${{{x^2}} \over {36}} - {{{y^2}} \over {{k^2}}} = 1$$ is a hyperbola, then which of the following statements can be true?