If the angle between the line and the plane is

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

Problem

If the angle between the line

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

and the plane

x + 2y + 3z = 4

\cos^{-1}\left(\sqrt{\frac{5}{14}}\right)

, then

\lambda

equals (1)

\frac{3}{2}

(2)

\frac{2}{5}

(3)

\frac{5}{3}

(4)

\frac{2}{3}