Let a plane pass through origin and is parallel to the line such that distance…

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

Problem

Let a plane pass through origin and is parallel to the line

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

such that distance between plane and the line is

\frac{5}{3}

. Then, equation of the plane is ..... (1)

x - 2y + 2z = 0

(2)

x - 2y - 2z = 0

(3)

2x + 2y + z = 0

(4)

x + y + z = 0