Mathematics · 2024
JEE Main · 4 April 2024, Shift 2 · Q16
Let P be the point of intersection of the lines (x-2)/1=(y-4)/5=(z-2)/1 and (x-3)/2=(y-2)/3=(z-3)/2. Then, the shortest distance of P from the line 4…
Let P be the point of intersection of the lines $\displaystyle \frac{x-2}{1}=\frac{y-4}{5}=\frac{z-2}{1}$ and $\displaystyle \frac{x-3}{2}=\frac{y-2}{3}=\frac{z-3}{2}$. Then, the shortest distance of P from the line $\displaystyle 4 x=2 y=z$ is
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle \frac{3 \sqrt{14}}{7}$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.