Mathematics Parabola, Ellipse and Hyperbola Hyperbola

If 3x2 - 3y2 - 18x + 12y + 2 = 0 represents a hyperbola, find the equation of the directrix.

1
\(x=3\pm\sqrt{\dfrac{6}{13}}\)
2
\(x=2\pm\sqrt{\dfrac{13}{6}}\)
3
\(x=2\pm\sqrt{\dfrac{6}{13}}\)
4
\(x=3\pm\sqrt{\dfrac{13}{6}}\)

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