Mathematics

Problem

Two comets,

C_{1}

and

C_{2}

, are observed on a parabolic trajectory given by

y^{2} = 100x

with the sun at the focus. At a specific instant, the comets form a straight line with the sun. If

C_{1}

is at a distance of

100

units from the sun, how far is

C_{2}

from the sun?