The number of values of for which the line touches the ellipse is

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

Problem

The number of values of

\theta\in[0,\pi]

for which the line

x\cos\theta+3y\sin\theta=6

touches the ellipse

x^2+9y^2=36

is (1) 1 (2) 2 (3) 4 (4) infinite