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=γ; the angle between O Q and the positive x -axis be θ; and the angle between O P and the positive z -axis be φ, where O is the origin. Then the distance of P from the x -axis is

(A) γ √(1- sin ² φ cos ² θ)

(B) γ √(1+ cos ² θ sin ² φ)

(C) γ √(1+ cos ² φ sin ² θ)

(D) γ √(1- sin ² θ cos ² φ)

Three Dimensional Geometry: JEE Main 2024 Mathematics question

JEE Main 2024 · 8 Apr, Morning shift · Q2384

JEE Main 20248 Apr, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

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

JEE Main 2024 · 8 Apr, Morning shift · Q2384

JEE Main 20248 Apr, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

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