Two circles C_{1} and C_{2} intersect at two distinct points P and Q in a plane. Let a line passing through P meet the circles C_{1} and C_{2} in A and B, respectively. Let Y be the mid-point of AB and QY meet the circles C_{1} and C_{2} in X and Z, respectively. Then

(A) Y is the mid-point of XZ

(B) XY/XZ = 2/1

(C) YX = YZ

(D) XY + YZ = 3Y