Mathematics - Hyperbola Question with Solution | TestHub

If $e_1$ is the eccentricity of the ellipse $\frac{x^2}{16}+\frac{y^2}{25}=1$ and $e_2$ is the eccentricity of the hyperbola passing through the focii of the ellipse and $e_1{e}_2=1$, then equation of the hyperbola is