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 \( H \).
An equation of the conjugate axis of \( H \) is
(a) \( 2 x+3 y=21 \)
(b) \( 4 x+6 y=43 \)
(c) \( 2 x+3 y=22 \)
(d) \( 4 x+6 y=47 \)
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