If the line \( y-\sqrt{3 x}+3=0 \) cuts the parabola \( y^{2}=x+2 \...

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If the line \( y-\sqrt{3 x}+3=0 \) cuts the parabola \( y^{2}=x+2 \)
P
W at \( A \) and \( B \). If \( P=(\sqrt{3}, 0) \) the \( P A \cdot P B \) is:
(1) \( \frac{2}{3}(\sqrt{3}+2) \)
(2) \( 2 \sqrt{3} \)
(3) \( \frac{4}{3}(2-\sqrt{3}) \)
(4) \( \frac{4}{3}(\sqrt{3}+2) \)
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