If the normals at two points and of the parabola intersect at a third point on the curve

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

If the normals at two points

P

and

Q

of the parabola

y^2=4ax

intersect at a third point

R

on the curve, then the product of the ordinates of

P

and

Q

is (1)

4a^2

(2)

2a^2

(3)

-4a^2

(4)

8a^2