Parabola

Consider the parabola x² = 4y and circle x² + (y – 5)² = r² (r > 0). Given that the circle touches the
parabola at the points P and Q. Let R be the point of intersection of tangents to parabola at P and
Q and S be the centre of circle.
Q.8 Which of the following statement(s) is/areTRUE?
(A) Centroid of PQR is (0,7/9)

(B)Distance between chord PQ and directrix of the parabola is 3/4

.
(C)Area of PQR is 40/3√3
4
(D) The common tangents to the circle and parabola intersect at (0, 3).