Chord of the ellipse x^2 + 2y^2 = 2 cut by a line: the angle it subtends at the origin

1. A.
   $\frac{\pi}{2} + \tan^{- 1}\left( \frac{1}{4} \right)$
2. B.
   $\frac{\pi}{2} - \tan^{- 1}\left( \frac{1}{4} \right)$
3. C.
   $\frac{\pi}{2} + \tan^{- 1}\left( \frac{1}{3} \right)$
4. D.
   $\frac{\pi}{2} - \tan^{- 1}\left( \frac{1}{3} \right)$

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1. A.
   $\pi - \tan^{- 1}\left( \frac{1}{4} \right)$
2. B.
   $\frac{\pi}{2} + \tan^{- 1}\left( \frac{1}{4} \right)$
3. C.
   $\frac{\pi}{2} + 2\tan^{- 1}\left( \frac{1}{4} \right)$
4. D.
   $\frac{\pi}{2} - \tan^{- 1}\left( \frac{1}{4} \right)$

Tap an option to check your answer.