Points , , and lie on the parabola . The tangents to the parabola at , , and , taken…

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

Problem

Points

A

B

, and

C

lie on the parabola

y^2=4ax

. The tangents to the parabola at

A

B

, and

C

, taken in pairs, intersect at points

P

Q

, and

R

. Find the ratio of the areas of

\triangle ABC

and

\triangle PQR