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JEE Math Practice Question

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

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

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