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If tangents \( P Q \) and \( P R \) are drawn from a variable point \( P \) to the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1,(ab) \), so that the fourth
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W vertex \( S \) of parallelogram \( P Q S R \) lies on the circumcircle of triangle \( P Q R \), then the locus of \( P \) is
(1) \( x^{2}+y^{2}=b^{2} \)
(2) \( x^{2}+y^{2}=a^{2} \)
(3) \( x^{2}+y^{2}=a^{2}-b^{2} \)
(4) none of these
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