Two lines with equations and lie in the same plane

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Two lines with equations

\frac{x-3}{2}=\frac{y-2}{3}=\frac{z-1}{\lambda}

and

\frac{x-2}{3}=\frac{y-3}{2}=\frac{z-2}{3}

lie in the same plane. The angle between the plane containing both lines and the plane

4x+y+2z=0

is: (1)

\frac{\pi}{3}

(2)

\frac{\pi}{2}

(3)

\frac{\pi}{6}

(4)

\cos^{-1}\frac{2}{\sqrt{186}}