Ans : (A)
Hint \(: 3 x^{2}-3 y^{2}-18 x+12 y+2=0 \Rightarrow \frac{(x-3)^{2}}{\left(\sqrt{\frac{13}{3}}\right)^{2}}-\frac{(y-2)^{2}}{\left(\sqrt{\frac{13}{3}}\right)^{2}}=1\)
Here \(a=b=\sqrt{\frac{13}{3}}\) and \(e=\sqrt{2} \therefore\) the equations of the directrices are \(x=3 \pm \sqrt{\frac{13}{6}}\)