Tangents are drawn from the point to the ellipse

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

Problem

Tangents are drawn from the point

P(3,4)

to the ellipse

\frac{x^2}{9}+\frac{y^2}{4}=1

, touching the ellipse at points

A

and

B

. The orthocenter of triangle

PAB

is: (1)

\left(5,\frac{8}{7}\right)

(2)

\left(\frac{7}{5},\frac{25}{8}\right)

(3)

\left(\frac{11}{5},\frac{8}{5}\right)

(4)

\left(\frac{8}{25},\frac{7}{5}\right)