If a line \( y=3 x+1 \) cuts the parabola P \( x^{2}-4 x-4 y+20=0 \...

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If a line \( y=3 x+1 \) cuts the parabola
P \( x^{2}-4 x-4 y+20=0 \) at \( A \) and \( B \), then the tangent of

W the angle subtended by line segment \( A B \) at the origin is:
(1) \( \frac{8 \sqrt{3}}{205} \)
(2) \( \frac{8 \sqrt{3}}{209} \)
(3) \( \frac{8 \sqrt{3}}{215} \)
(4) None of these
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