jee-main 2023 Q79

jee-main · India · session1_01feb_shift1 Vectors 3D & Lines Shortest Distance Between Two Lines
The shortest distance between the lines $\frac{x-5}{1} = \frac{y-2}{2} = \frac{z-4}{-3}$ and $\frac{x+3}{1} = \frac{y+5}{4} = \frac{z-1}{-5}$ is
(1) $7\sqrt{3}$
(2) $5\sqrt{3}$
(3) $6\sqrt{3}$
(4) $4\sqrt{3}$
The shortest distance between the lines $\frac{x-5}{1} = \frac{y-2}{2} = \frac{z-4}{-3}$ and $\frac{x+3}{1} = \frac{y+5}{4} = \frac{z-1}{-5}$ is\\
(1) $7\sqrt{3}$\\
(2) $5\sqrt{3}$\\
(3) $6\sqrt{3}$\\
(4) $4\sqrt{3}$