The equation of a common tangent to the parabola \( \mathrm{P} \) \...

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The equation of a common tangent to the parabola
\( \mathrm{P} \) \( y^{2}=2 x \) and the circle \( x^{2}+y^{2}+4 x=0 \) is

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(1) \( 2 \sqrt{6} x+y=12 \)
(2) \( x+2 \sqrt{6} y+12=0 \)
(3) \( x-2 \sqrt{6} y+21=0 \)
(4) \( 2 \sqrt{6} x-y=12 \)
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