Mathematics · 2025
JEE Main · 22 January 2025, Shift 1 · Q15
Let L_1: (x-1)/2=(y-2)/3=(z-3)/4 and L_2: (x-2)/3=(y-4)/4=(z-5)/5 be two lines. Then which of the following points lies on the line of the shortest…
Let $\displaystyle \mathrm{L}_1: \frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and $\displaystyle \mathrm{L}_2: \frac{x-2}{3}=\frac{y-4}{4}=\frac{z-5}{5}$ be two lines. Then which of the following points lies on the line of the shortest distance between $\displaystyle \mathrm{L}_1$ and $\displaystyle \mathrm{L}_2$ ?
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle \left(\frac{14}{3},-3, \frac{22}{3}\right)$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.