A (4, 2), B(6, 5) and C (1, 4) are the vertices of ΔABC. (i) The median from A meets BC in D. Find the coordinates of the point D. (ii) Find the coordinates of point P and AD such that AP : PD = 2 : 1. (iii) Find the coordinates of the points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1 (iv) What do you observe?