From a point \( P \), two tangents \( P A \) and \( P B \) are draw...

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From a point \( P \), two tangents \( P A \) and \( P B \) are drawn
\( \mathrm{P} \) to the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \). If these tangents cut

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the coordinate axes at 4 concyclic points, then the locus of \( P \) is
(1) \( x^{2}-y^{2}=\left|a^{2}-b^{2}\right| \)
(2) \( x^{2}-y^{2}=a^{2}+b^{2} \)
(3) \( x^{2}+y^{2}=\left|a^{2}-b^{2}\right| \)
(4) \( x^{2}+y^{2}=a^{2}+b^{2} \)
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