A comet sometimes travels along a parabolic path as it passes the sun. In this case the sun is located at the focus of the parabola and the comet passes the sun once, rather than orbiting the sun. Suppose the path of a comet is given by y² = 100x, where units are in millions of miles. 

(a) Find the coordinates of the sun. 

(b) Find the minimum distance between the sun and the comet.