To the circle \( x^{2}+y^{2}=4 \), two tangents are drawn from P \(...
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To the circle \( x^{2}+y^{2}=4 \), two tangents are drawn from
P \( P(-4,0) \), which touch the circle at \( T_{1} \) and \( T_{2} \). A rhombus \( P T_{1} P^{\prime} T_{2} \)
W is completed.
If \( P \) is taken to be at \( (h, 0) \) such that \( P^{\prime} \) lies on the circle, the area of the rhombus is
(1) \( 6 \sqrt{3} \)
(2) \( 2 \sqrt{3} \)
(3) \( 3 \sqrt{3} \)
(4) none of these
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