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The locus of the point of intersection of the tangents to the circle \( x^{2}+y^{2}=a^{2} \) at points whose parametric
\( \mathrm{P} \) angles differ by \( \frac{\pi}{3} \) is

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(A) \( x^{2}+y^{2}=\frac{4 a^{2}}{3} \)
(B) \( x^{2}+y^{2}=\frac{2 a^{2}}{3} \)
(C) \( x^{2}+y^{2}=\frac{a^{2}}{3} \)
(D) \( x^{2}+y^{2}=\frac{a^{2}}{9} \)
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