If \( P \) is any point common to the hyperbola P W \( \frac{x^{2}}...

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If \( P \) is any point common to the hyperbola
P
W \( \frac{x^{2}}{16}-\frac{y^{2}}{25}=1 \) and the circle having line segment joining its foci as diameter then sum of focal distances of point \( P \) is
(1) \( 6 \sqrt{2} \)
(2) \( 2 \sqrt{66} \)
(3) 16
(4) 8
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