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Mathematics · 2024

JEE Main · 29 January 2024, Shift 1 · Q29

A line with direction ratios 2, 1, 2 meets the lines x=y+2=z and x+2=2 y=2 z respectively at the points P and Q. If the length of the perpendicular…

A line with direction ratios $\displaystyle 2$, $\displaystyle 1$, $\displaystyle 2$ meets the lines $\displaystyle x=y+2=z$ and $\displaystyle x+2=2 y=2 z$ respectively at the points P and Q . If the length of the perpendicular from the point $\displaystyle (1,2,12)$ to the line PQ is $\displaystyle l$, then $\displaystyle l^2$ is $\displaystyle \_\_\_\_$.
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