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3D Geometry question

2023 · 25 Jan · Shift 1 · Q33

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PYQ Library
JEE Main
Mathematics
3D Geometry
2023 · 25 Jan · Shift 1 · Q33

3D Geometry question

2023 · 25 Jan · Shift 1 · Q33

JEE MainMathematics3D GeometryMCQ+4 / −1

Consider the lines

L_1

and

L_2

given by

{L_1}:{{x - 1} \over 2} = {{y - 3} \over 1} = {{z - 2} \over 2}{L_2}:{{x - 2} \over 1} = {{y - 2} \over 2} = {{z - 3} \over 3}

. A line

L_3

having direction ratios 1,

-

1,

-

2, intersects

L_1

and

L_2

at the points

P

and

Q

respectively. Then the length of line segment

PQ

is

A
$4\sqrt3$
B
$2\sqrt6$
C
4
D
$3\sqrt2$

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