jee-main 2012 Q61

jee-main · India · offline Vectors 3D & Lines MCQ: Relationship Between Two Lines
If the lines $\frac{x-1}{2} = \frac{y+1}{3} = \frac{z-1}{4}$ and $\frac{x-3}{1} = \frac{y-k}{2} = \frac{z}{1}$ intersect, then $k$ is equal to
(1) $\frac{2}{9}$
(2) $\frac{9}{2}$
(3) 0
(4) $-1$
If the lines $\frac{x-1}{2} = \frac{y+1}{3} = \frac{z-1}{4}$ and $\frac{x-3}{1} = \frac{y-k}{2} = \frac{z}{1}$ intersect, then $k$ is equal to\\
(1) $\frac{2}{9}$\\
(2) $\frac{9}{2}$\\
(3) 0\\
(4) $-1$