jee-main 2013 Q88

jee-main · India · 07apr Vectors 3D & Lines MCQ: Relationship Between Two Lines
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) exactly two values.
(2) exactly three values.
(3) any value.
(4) exactly one value.
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) exactly two values.\\
(2) exactly three values.\\
(3) any value.\\
(4) exactly one value.