Home/Question #16204
JEE Main 22 Jan 2025 Sft-1Medium

Q.LetL1:x12=y23=z34 L_{1} : \frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4} and L2:x23=y44=z55L_{2} : \frac{x-2}{3} = \frac{y-4}{4} = \frac{z-5}{5} be two lines. Then which of the following points lies on the line of the shortest distance betweenL1 L_{1} and L2?:L_{2}?:

a
(53,7,1)\left( -\frac{5}{3}, -7, 1 \right)
b
(2,3,13)\left( 2, 3, \frac{1}{3} \right)
c
(83,1,13)\left( \frac{8}{3}, -1, \frac{1}{3} \right)
d
(143,3,223)\left( \frac{14}{3}, -3, \frac{22}{3} \right)

Correct Answer: Option D

The correct solution involves applying the fundamental concept to derive the final value step by step...

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