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Mathematics · 2025

JEE Main · 23 January 2025, Shift 2 · Q13

If the square of the shortest distance between the lines (x-2)/1=(y-1)/2=(z+3)/-3 and (x+1)/2=(y+3)/4=(z+5)/-5 is m/n, where m, n are coprime…

If the square of the shortest distance between the lines $\displaystyle \frac{x-2}{1}=\frac{y-1}{2}=\frac{z+3}{-3}$ and $\displaystyle \frac{x+1}{2}=\frac{y+3}{4}=\frac{z+5}{-5}$ is $\displaystyle \frac{\mathrm{m}}{\mathrm{n}}$, where m, n are coprime numbers, then m + n is equal to :
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.