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

\[{{\tan }^{-1}}\left( \sqrt{3} \right)\]

\[{{\tan }^{-1}}\left( \frac{3}{2\sqrt{2}} \right)\]

\[{{\tan }^{-1}}\left( \frac{2}{2\sqrt{2}} \right)\]

\[{{\tan }^{-1}}\left( \sqrt{3} \right)\]

\[{{\tan }^{-1}}\left( \frac{2}{2\sqrt{2}} \right)\]

The angle between the lines joining the points of intersection of line

1.	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.	\[{{\tan }^{-1}}\left( \frac{2}{2\sqrt{2}} \right)\]
Answer» C. \[{{\tan }^{-1}}\left( \sqrt{3} \right)\]