Prove that the equation of the parabola whose vertex and focus are on the -axis at…

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Prove that the equation of the parabola whose vertex and focus are on the

x

-axis at distances

a

and

a'

from the origin, respectively, is

y^2=4(a'-a)(x-a).