Let \( P(x, y) \) be a variable point such that \( \mathrm{P} \) \[...

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Let \( P(x, y) \) be a variable point such that
\( \mathrm{P} \)
\[
\left|\sqrt{(x-1)^{2}+(y-2)^{2}}-\sqrt{(x-5)^{2}+(y-5)^{2}}\right|=3
\]
W.
which represents a hyperbola.
The eccentricity \( e^{\prime} \) of the corresponding conjugate hyperbola is
(1) \( 5 / 3 \)
(2) \( 4 / 3 \)
(3) \( 5 / 4 \)
(4) \( 3 / \sqrt{7} \)
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