Consider the parabola

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

Problem

y^2=8x

. Let

\Delta_1

be the area of the triangle formed by the endpoints of its latus rectum and the point

P\left(\frac12,2\right)

on the parabola, and let

\Delta_2

be the area of the triangle formed by the tangents at

P

and at the endpoints of the latus rectum. Then

\frac{\Delta_1}{\Delta_2}