If any tangent to the ellipse cuts off intercepts of lengths and on the axes

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

Problem

If any tangent to the ellipse

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1

cuts off intercepts of lengths

h

and

k

on the axes, then

\frac{a^2}{h^2}+\frac{b^2}{k^2}

is equal to (1)

-1

(2)

0

(3)

1

(4) None of these