Problem

Consider the parabola

y^2 = 8x

. Let

\Delta_1

be the area of the triangle formed by the end points of its latusrectum and the point

P\left(\frac{1}{2}, 2\right)

on the parabola \nand

\Delta_2

be the area of the triangle formed by drawing tangent at

P

and at the end points of the latusrectum. \nThen,

\frac{\Delta_1}{\Delta_2}