The equation of the hyperbola passing through \( \mathrm{P} \) \( (...

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The equation of the hyperbola passing through
\( \mathrm{P} \) \( (4,6) \) and whose asymptotes are \( y= \pm x \sqrt{3} \) is

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(1) \( 3 x^{2}-y^{2}=8 \)
(2) \( 3 x^{2}-2 y^{2}=6 \)
(3) \( 3 x^{2}-y^{2}=12 \)
(4) \( x^{2}-3 y^{2}=6 \)
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