Statement I The lines and are coplanar and equation of the plane containing them is…

MATHEMATICS · Subjective · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Statement I The lines

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

and

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

are coplanar and equation of the plane containing them is

5x + 2y - 3z - 8 = 0

Statement II The line

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

is perpendicular to the plane

3x + 6y + 9z - 8 = 0

and parallel to the plane

x + y - z = 0