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Mathematics · 2024

JEE Main · 31 January 2024, Shift 1 · Q29

Let Q and R be the feet of perpendiculars from the point P (a, a, a) on the lines x=y, z=1 and x=-y, z=-1 respectively. If ∠ QPR is a right angle,…

Let Q and R be the feet of perpendiculars from the point $\displaystyle \mathrm{P}(a, a, a)$ on the lines $\displaystyle x=y, z=1$ and $\displaystyle x=-y, z=-1$ respectively. If $\displaystyle \angle \mathrm{QPR}$ is a right angle, then $\displaystyle 12 a^2$ is equal to $\displaystyle \_\_\_\_$
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