A small object is placed $50\, cm$ to the left of a thin convex lens of focal length $30\, cm$. A convex spherical mirror of radius of curvature $100\, cm$ is placed to the right of the lens at a distance $50\, cm$. The mirror is tilted such that the axis of the mirror is at an angle $\theta=30^{\circ}$ to the axis of the lens, as shown in the figure.
If the origin of the coordinate system is taken to be at the centre of the lens, the coordinates (in $cm$ ) of the point $(x, y)$ at which the image is formed are