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Mathematics · 2025

JEE Main · 24 January 2025, Shift 2 · Q22

Let P be the image of the point Q(7, -2, 5) in the line L: (x-1)/2=(y+1)/3=z/4 and R(5, p, q) be a point on L. Then the square of the area of PQR is…

Let P be the image of the point Q($\displaystyle 7$, -$\displaystyle 2$, $\displaystyle 5$) in the line $\displaystyle \mathrm{L}: \frac{x-1}{2}=\frac{y+1}{3}=\frac{z}{4}$ and R($\displaystyle 5$, p, q) be a point on L. Then the square of the area of $\displaystyle \triangle \mathrm{PQR}$ is $\displaystyle \_\_\_\_$.
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