A point \( P(\sqrt{3}, 1) \) moves on the circle \( x^{2}+y^{2}=4 \) and after covering a quarte...

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A point \( P(\sqrt{3}, 1) \) moves on the circle \( x^{2}+y^{2}=4 \) and after covering a quarter of the circle leaves it tangentially. The equation of a line along which the point moves after leaving the circle is
(a) \( y=\sqrt{3} x+4 \)
(b) \( \sqrt{3} y=x+4 \)
(c) \( \sqrt{3} y=x-4 \)
(d) \( y=\sqrt{3} x-4 \)
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