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Mathematics · 2023

JEE Main · 30 January 2023, Shift 2 · Q89

Let a line L pass through the point P(2,3,1) and be parallel to the line x+3 y-2 z-2=0=x-y+2 z. If the distance of L from the point (5,3,8) is α,…

Let a line $\displaystyle L$ pass through the point $\displaystyle P(2,3,1)$ and be parallel to the line $\displaystyle x+3 y-2 z-2=0=x-y+2 z$. If the distance of $\displaystyle L$ from the point $\displaystyle (5,3,8)$ is $\displaystyle \alpha$, then $\displaystyle 3 \alpha^2$ 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.