Let O be the vertex and Q be any point on the parabola , $x^2=8y$. If the point P divides the line segment OQ internally in the ratio $1:3$ , then the locus of P is :

Question

$\begin{array}{1 1} x^2=2y \\ x^2=y \\ y^2=x \\ y^2= 2x \end{array} $