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JEE Math Practice Question

Each of the angles $\beta$ and $\gamma$ that a given line makes with the positive $y$ - and $z$-axes, respectively, is half of the angle that this line makes with the positive $x$-axes. Then the sum of all possible values of the angle $\beta$ is

  1. A.$\frac{\pi}{2}$
  2. B.$\pi$
  3. C.$\frac{3 \pi}{4}$
  4. D.$\frac{3 \pi}{2}$

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