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3D Geometry question

2010 · Shift 2 · Q23

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PYQ Library
JEE Advanced
Mathematics
3D Geometry
2010 · Shift 2 · Q23

3D Geometry question

2010 · Shift 2 · Q23

JEE AdvancedMathematics3D GeometryMCQ+4 / −1

If the distance of the point

P(1, -2, 1)

from the plane

x+2y-2z\, = \alpha ,

where

\alpha \gt 0,

is

5,

then the foot of the perpendicular from

P

to the planes is

A
$\left( {{8 \over 3},{4 \over 3}, - {7 \over 3}} \right)$
B
$\left( {{4 \over 3},-{4 \over 3}, {1 \over 3}} \right)$
C
$\left( {{1 \over 3},{2 \over 3}, {10 \over 3}} \right)$
D
$\left( {{2 \over 3},-{1 \over 3}, {5 \over 3}} \right)$

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