If a line \[y=3x+1\]cuts the parabola \[{{x}^{2}}-4x-4y+20=0\]at A and B, then the tangent of the angle subtended by line segment AB, at the origin is

If a line \[y=3x+1\]cuts the parabola \[{{x}^{2}}-4x-4y+20=0\]at A and

1.	If a line \[y=3x+1\]cuts the parabola \[{{x}^{2}}-4x-4y+20=0\]at A and B, then the tangent of the angle subtended by line segment AB, at the origin is
A.	\[8\sqrt{3}/205\]
B.	\[8\sqrt{3}/209\]
C.	\[8\sqrt{3}/215\]
D.	None of these
Answer» C. \[8\sqrt{3}/215\]

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If a line \[y=3x+1\]cuts the parabola \[{{x}^{2}}-4x-4y+20=0\]at A and B, then the tangent of the angle subtended by line segment AB, at the origin is

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