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3D Geometry question

2012 · Shift 1 · Q35

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PYQ Library
JEE Advanced
Mathematics
3D Geometry
2012 · Shift 1 · Q35

3D Geometry question

2012 · Shift 1 · Q35

JEE AdvancedMathematics3D GeometryMCQ+4 / −1

The point

P

is the intersection of the straight line joining the points

Q(2, 3, 5)

and

R(1, -1, 4)

with the plane

5x-4y-z=1.

If

S

is the foot of the perpendicular drawn from the point

T(2, 1, 4)

to

QR,

then the length of the line segment

PS

is

A
${{1 \over {\sqrt 2 }}}$
B
${\sqrt 2 }$
C
$2$
D
${2\sqrt 2 }$

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