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Mathematics · 2024

JEE Main · 6 April 2024, Shift 2 · Q28

If the shortest distance between the lines (x-λ)/3=(y-2)/-1=(z-1)/1 and (x+2)/-3=(y+5)/2=(z-4)/4 is 44/(√ 30), then the largest possible value of |λ|…

If the shortest distance between the lines $\displaystyle \frac{x-\lambda}{3}=\frac{y-2}{-1}=\frac{z-1}{1}$ and $\displaystyle \frac{x+2}{-3}=\frac{y+5}{2}=\frac{z-4}{4}$ is $\displaystyle \frac{44}{\sqrt{30}}$, then the largest possible value of $\displaystyle |\lambda|$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.