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 :

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 :

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

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

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

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

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