If the two lines x-3 2 = y-2 3 = z-1 and x-2 3 = y-3 2 = z-2 3 lie in the same plane

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

Problem

If the two lines

\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, then the point of intersection of the lines lies on (1)

3x+y+z=20

(2)

2x+y+z=25

(3)

3x+2y+z=24

(4)

x=y=z