Mathematics · 2022
JEE Main · 29 July 2022, Shift 1 · Q9
If the foot of the perpendicular from the point A (-1,4,3) on the plane P: 2 x+ m y+ n z=4, is (-2, 7/2, 3/2), then the distance of the point A from…
If the foot of the perpendicular from the point $\displaystyle \mathrm{A}(-1,4,3)$ on the plane $\displaystyle \mathrm{P}: 2 x+\mathrm{m} y+\mathrm{n} z=4$, is $\displaystyle \left(-2, \frac{7}{2}, \frac{3}{2}\right)$, then the distance of the point A from the plane P , measured parallel to a line with direction ratios $\displaystyle 3$, -$\displaystyle 1$, -$\displaystyle 4$, is equal to :
Official answer
(2)
$\displaystyle \sqrt{26}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.