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3D Geometry question

2022 · 26 Jun · Shift 1 · Q30

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PYQ Library
JEE Main
Mathematics
3D Geometry
2022 · 26 Jun · Shift 1 · Q30

3D Geometry question

2022 · 26 Jun · Shift 1 · Q30

JEE MainMathematics3D GeometryMCQ+4 / −1

If the two lines

{l_1}:{{x - 2} \over 3} = {{y + 1} \over {-2}},\,z = 2

and

{l_2}:{{x - 1} \over 1} = {{2y + 3} \over \alpha } = {{z + 5} \over 2}

are perpendicular, then an angle between the lines l2 and

{l_3}:{{1 - x} \over 3} = {{2y - 1} \over { - 4}} = {z \over 4}

is :

A
${\cos ^{ - 1}}\left( {{{29} \over 4}} \right)$
B
${\sec ^{ - 1}}\left( {{{29} \over 4}} \right)$
C
${\cos ^{ - 1}}\left( {{2 \over {29}}} \right)$
D
${\cos ^{ - 1}}\left( {{2 \over {\sqrt {29} }}} \right)$

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