Ellipse and hyperbola numbers

You will write functions that find the focal length, the eccentricity and the latus rectum of an ellipse and of a hyperbola from $a$ and $b$. The checker uses the curves of the lessons.

The idea. For an ellipse $c = \sqrt{a^2 - b^2}$. For a hyperbola $c = \sqrt{a^2 + b^2}$. In both cases $e = \dfrac{c}{a}$ and the latus rectum is $\dfrac{2b^2}{a}$. The asymptotes of the hyperbola have slope $\pm\dfrac{b}{a}$.

Your tasks.

1. Finish ellipse_parts(a, b) to return (c, e, latus_rectum).
2. Finish hyperbola_parts(a, b) to return (c, e, latus_rectum, asymptote_slope).
3. Finish focal_distances_ellipse(a, b, x) to return (PF1, PF2) for the point of the ellipse with abscissa x, where F1 is the focus on the left and F2 the focus on the right.