The point of intersection of two perpendicular \( \mathrm{P} \) W t...

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The point of intersection of two perpendicular
\( \mathrm{P} \)
W tangents to \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) lies on the circle:
(1) \( x^{2}+y^{2}=a^{2}-b^{2} \)
(2) \( x^{2}+y^{2}=a^{2}+b^{2} \)
(3) \( x^{2}+y^{2}=a^{2} \)
(4) \( x^{2}+y^{2}=b^{2} \)
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