The equation of the director circle of the hyperbola \( \mathrm{P} ...

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The equation of the director circle of the hyperbola
\( \mathrm{P} \) \( \frac{x^{2}}{16}-\frac{y^{2}}{4}=1 \) is given by

W
(1) \( x^{2}+y^{2}=16 \)
(2) \( x^{2}+y^{2}=4 \)
(3) \( x^{2}+y^{2}=20 \)
(4) \( x^{2}+y^{2}=12 \)
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