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The locus of the point of intersection of the tangents to the circle \( x=r \cos \theta, y=r \sin \theta \) at points whose parametric angles differ by \( \pi / 3 \) is
(a) \( x^{2}+y^{2}=4(2-\sqrt{3}) r^{2} \)
(b) \( 3\left(x^{2}+y^{2}\right)=r^{2} \)
(c) \( x^{2}+y^{2}=(2-\sqrt{3}) r^{2} \)
(d) \( 3\left(x^{2}+y^{2}\right)=4 r^{2} \).
W)
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