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Mathematics · 2023

JEE Main · 25 January 2023, Shift 2 · Q88

If the shortest distance between the line joining the points (1,2,3) and (2,3,4), and the line (x-1)/2=(y+1)/-1=(z-2)/0 is α, then 28 α^2 is equal to…

If the shortest distance between the line joining the points $\displaystyle (1,2,3)$ and $\displaystyle (2,3,4)$, and the line $\displaystyle \frac{x-1}{2}=\frac{y+1}{-1}=\frac{z-2}{0}$ is $\displaystyle \alpha$, then $\displaystyle 28 \alpha^2$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.