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3D Geometry question

2019 · Shift 2 · Q22

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PYQ Library
JEE Advanced
Mathematics
3D Geometry
2019 · Shift 2 · Q22

3D Geometry question

2019 · Shift 2 · Q22

JEE AdvancedMathematics3D GeometryMultiple correct+4 / −1

Three lines

{L_1}:r = \lambda \widehat i

,

\lambda \in

R,

{L_2}:r = \widehat k + \mu \widehat j

,

\mu \in

R and

{L_3}:r = \widehat i + \widehat j + v\widehat k

, v

\in

R are given. For which point(s) Q on L2 can we find a point P on L1 and a point R on L3 so that P, Q and R are collinear?

A
$\widehat k$
B
$\widehat k$ + $\widehat j$
C
$\widehat k$ + ${1 \over 2}\widehat j$
D
$\widehat k-{1 \over 2}\widehat j$

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