Let $PQ$ be a double ordinate of the parabola, $y^2=-4x$ , Where $P$ lies in the second quadrant . If R divides PQ in the ratio $2:1$ then the locus of R is :

Question

$\begin{array}{1 1} 9y^2=4x \\ 9y^2=-4x \\ 3y^2=2x\\ 3y^2=-2x \end{array} $