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Mathematics · 2022

JEE Main · 27 June 2022, Shift 2 · Q13

Let the foot of the perpendicular from the point (1,2,4) on the line (x+2)/4=(y-1)/2=(z+1)/3 be P. Then the distance of P from the plane 3 x+4 y+12…

Let the foot of the perpendicular from the point $\displaystyle (1,2,4)$ on the line $\displaystyle \frac{x+2}{4}=\frac{y-1}{2}=\frac{z+1}{3}$ be $\displaystyle P$. Then the distance of $\displaystyle P$ from the plane $\displaystyle 3 x+4 y+12 z+23=0$ is
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