Tangents drawn from a point on the circle to the hyperbola

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

Problem

Tangents drawn from a point on the circle

x^2 + y^2 = 9

to the hyperbola

\frac{x^2}{25} - \frac{y^2}{16} = 1

, then tangents are at angle (1)

\frac{\pi}{6}

(2)

\frac{\pi}{4}

(3)

\frac{\pi}{3}

(4)

\frac{\pi}{2}