The lines and are coplanar if

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

Problem

The lines x−21=y−31=z−4−k\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-k} and x−1k=y−42=z−51\frac{x-1}{k}=\frac{y-4}{2}=\frac{z-5}{1} are coplanar if (1) k=0k=0 or −1-1 (2) k=1k=1 or −1-1 (3) k=0k=0 or −3-3 (4) k=3k=3 or −3-3

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