Mathematics · 2022
JEE Main · 24 June 2022, Shift 2 · Q14
If the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/(λ) and (x-2)/1=(y-4)/4=(z-5)/5 is 1/(√ 3), then the sum of all possible values of λ…
If the shortest distance between the lines $\displaystyle \frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{\lambda}$ and $\displaystyle \frac{x-2}{1}=\frac{y-4}{4}=\frac{z-5}{5}$ is $\displaystyle \frac{1}{\sqrt{3}}$, then the sum of all possible values of $\displaystyle \lambda$ is:
Official answer
(1)
$\displaystyle 16$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.