JEE Math Practice Question

If the curve x2 + 2y2 = 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 :

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