The locus of the point of intersection of the lines \( \mathrm{P}^{...

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The locus of the point of intersection of the lines
\( \mathrm{P}^{122} \) \( \sqrt{3} x-y-4 \sqrt{3} t=0 \) and \( \sqrt{3} t x+t y-4 \sqrt{3}=0 \)

W.
(where \( t \) is a parameter) is a hyperbola whose eccentricity is
(1) \( \sqrt{3} \)
(2) 2
(3) \( \frac{2}{\sqrt{3}} \)
(4) \( \frac{4}{3} \)
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