If the lines and are coplanar

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

Problem

If the lines

\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-k}

and

\frac{x-1}{k}=\frac{y-4}{2}=\frac{z-5}{1}

are coplanar, then

k

can have (1) any value (2) exactly one value (3) exactly two values (4) exactly three values