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3D Geometry question

2014 · Shift 1 · Q29

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PYQ Library
JEE Advanced
Mathematics
3D Geometry
2014 · Shift 1 · Q29

3D Geometry question

2014 · Shift 1 · Q29

JEE AdvancedMathematics3D GeometryMultiple correct+3 / −1

From a point

P\left( {\lambda ,\lambda ,\lambda } \right),

perpendicular

PQ

and

PR

are drawn respectively on the lines

y=x, z=1

and

y=-x, z=-1.

If

P

is such that

\angle QPR

is a right angle, then the possible value(s) of

\lambda

is/(are)

A
$\sqrt 2$
B
$1$
C
$-1$
D
$-\sqrt 2$

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