If the curve $$x^2 + 2y^2 = 2$$ intersects the line $$x + y = 1$$ at two points $$P$$ and $$Q$$, then the angle subtended by the line segment $$PQ$$ at the origin is

A

$$\frac{\pi}{2} - \tan^{-1}\left(\frac{1}{3}\right)$$

B

$$\frac{\pi}{2} + \tan^{-1}\left(\frac{1}{3}\right)$$

C

$$\frac{\pi}{2} + \tan^{-1}\left(\frac{1}{4}\right)$$

D

$$\frac{\pi}{2} - \tan^{-1}\left(\frac{1}{4}\right)$$