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 the plane P, measured parallel to a line with direction ratios 3,-1,-4, is equal to:

Three Dimensional Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jul, Morning shift · Q2452

JEE Main 202229 Jul, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If the foot of the perpendicular from the point

\mathrm{A}(-1,4,3)

on the plane

\mathrm{P}: 2 x+\mathrm{m} y+\mathrm{n} z=4

, is

\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

3,-1,-4

, is equal to :