If the normal at the point to the ellipse

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

Problem

If the normal at the point

P(\theta)

to the ellipse

\frac{x^2}{14} + \frac{y^2}{5} = 1

, intersect it again at the point

Q(2\theta)

, then

\cos \theta

is equal to (1)

\frac{2}{3}

(2)

-\frac{2}{3}

(3)

\frac{3}{2}

(4)

-\frac{3}{2}