The angle between the lines joining the points of intersection of line \[y=3x+2\] and the curve \[{{x}^{2}}+2xy+3{{y}^{2}}+4x+8y-11=0\] to the origin, is

• A. \[{{\tan }^{-1}}\left( \frac{3}{2\sqrt{2}} \right)\]
• B. \[{{\tan }^{-1}}\left( \frac{2}{2\sqrt{2}} \right)\]
• C. \[{{\tan }^{-1}}\left( \sqrt{3} \right)\]
• D. \[{{\tan }^{-1}}\left( \frac{2}{2\sqrt{2}} \right)\]