Let \( P(x, y) \) be a variable point such that \( \left|\sqrt{(x-6...

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Let \( P(x, y) \) be a variable point such that \( \left|\sqrt{(x-6)^{2}+(y-6)^{2}}-\sqrt{(x-2)^{2}+(y-3)^{2}}\right|=3 \). Then \( P \) traces a hyperbola, say \( H \).
Eccentricity of the hyperbola \( H \) is
(a) \( \frac{5}{3} \)
(b) \( \frac{5}{2} \)
(c) \( \frac{3}{2} \)
(d) \( \sqrt{2} \)
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