If the curve \({x}^{2}+2{y}^{2}=2\) intersects the line \(x+y=1\) at two points P and Q, then the angle subtended by the…

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

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

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

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