Let be the image of the point with respect to the plane

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

Problem

Let

P

be the image of the point

(3, 1, 7)

with respect to the plane

x - y + z = 3

. Then, the equation of the plane passing through

P

and containing the straight line

\frac{x}{1} = \frac{y}{2} = \frac{z}{1}

is (1)

x + y - 3z = 0

(2)

3x + z = 0

(3)

x - 4y + 7z = 0

(4)

2x - y = 0