A tangent \( P T \) is drawn to the circle \( x^{2}+y^{2}=4 \) at t...

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A tangent \( P T \) is drawn to the circle \( x^{2}+y^{2}=4 \) at the point \( P(\sqrt{3}, 1) \). A straight line \( L \), perpendicular to \( P T \), is a tangent to the
W circle \( (x-3)^{2}+y^{2}=1 \)
(IIT-JEE 2012)
A possible equation of \( L \) is
(1) \( x-\sqrt{3} y=1 \)
(2) \( x+\sqrt{3} y=1 \)
(3) \( x-\sqrt{3} y=-1 \)
(4) \( x+\sqrt{3} y=5 \)
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