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3D Geometry question

2024 · 8 Apr · Shift 1 · Q42

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PYQ Library
JEE Main
Mathematics
3D Geometry
2024 · 8 Apr · Shift 1 · Q42

3D Geometry question

2024 · 8 Apr · Shift 1 · Q42

JEE MainMathematics3D GeometryMCQ+4 / −1

Let

P(x, y, z)

be a point in the first octant, whose projection in the

x y

-plane is the point

Q

. Let

O P=\gamma

; the angle between

O Q

and the positive

x

-axis be

\theta

; and the angle between

O P

and the positive

z

-axis be

\phi

, where

O

is the origin. Then the distance of

P

from the

x

-axis is

A
$\gamma \sqrt{1-\sin ^2 \phi \cos ^2 \theta}$
B
$\gamma \sqrt{1+\cos ^2 \theta \sin ^2 \phi}$
C
$\gamma \sqrt{1+\cos ^2 \phi \sin ^2 \theta}$
D
$\gamma \sqrt{1-\sin ^2 \theta \cos ^2 \phi}$

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