MathematicsMedium74×since 2004Q3737If 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 :Aπ2−tan−1(14){\pi \over 2} - {\tan ^{ - 1}}\left( {{1 \over 4}} \right)2π−tan−1(41)Bπ2+tan−1(13){\pi \over 2} + {\tan ^{ - 1}}\left( {{1 \over 3}} \right)2π+tan−1(31)Cπ2−tan−1(13){\pi \over 2} - {\tan ^{ - 1}}\left( {{1 \over 3}} \right)2π−tan−1(31)Dπ2+tan−1(14){\pi \over 2} + {\tan ^{ - 1}}\left( {{1 \over 4}} \right)2π+tan−1(41)Check answerSkip