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JEE MAIN 2024
08-04-24 S1
Question
Let $\mathrm{P}(\mathrm{x}, \mathrm{y}, \mathrm{z})$ be a point in the first octant, whose projection in the xy -plane is the point Q . Let $\mathrm{OP}=\gamma$; the angle between OQ and the positive x -axis be $\theta$; and the angle between OP and the positive z -axis be $\phi$, where $O$ is the origin. Then the distance of $P$ from the $x$-axis is
Select the correct option:
A
$\gamma \sqrt{1-\sin ^2 \phi \cos ^2 \theta}$
B
$\gamma \sqrt{1+\cos ^2 \theta \sin ^2 \phi}$
C
$\gamma \sqrt{1-\sin ^2 \theta \cos ^2 \phi}$
D
$\gamma \sqrt{1+\cos ^2 \phi \sin ^2 \theta}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Question Tags
JEE Main
Mathematics
Medium
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