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Mathematics · 2023

JEE Main · 15 April 2023, Shift 1 · Q15

Let S be the set of all values of λ, for which the shortest distance between the lines (x-λ)/0=(y-3)/4=(z+6)/1 and (x+λ)/3=y/-4=(z-6)/0 is 13. Then…

Let S be the set of all values of $\displaystyle \lambda$, for which the shortest distance between the lines $\displaystyle \frac{x-\lambda}{0}=\frac{y-3}{4}=\frac{z+6}{1}$ and $\displaystyle \frac{x+\lambda}{3}=\frac{y}{-4}=\frac{z-6}{0}$ is 13. Then $\displaystyle 8\left|\sum_{\lambda \in S} \lambda\right|$ is equal to
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.