Angles made with the X - axis by the two lines passing through the point P(1, 2) and cutting the line x + y = 4 at a distance \(\frac{\sqrt{6}}{3}\) units from the point P are
1
\(\frac{\pi}{5}\) and \(\frac{3 \pi}{10}\)
2
\(\frac{\pi}{6}\) and \(\frac{\pi}{3}\)
3
\(\frac{\pi}{12}\) and \(\frac{5 \pi}{12}\)
4
\(\frac{\pi}{8}\) and \(\frac{3 \pi}{8}\)