The points A(x_1, y_1), B(x_2, y_2) and C(x_3 y_3) are the vertices of ABC. (i) The median from A...

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The points A(x_1, y_1), B(x_2, y_2) and C(x_3 y_3) are the vertices of ABC.
(i) The median from A meets BC at D. Find the coordinates of the point D.
(ii) Find the coordinates of the pointon AD such that AP : PD=2: 1
(iii) Find the coordinates of points Q and R on medians B E and C F, respectively such that BQ: QE=2: 1 and CR: RF=2: 1
(iv) What are the coordinates of the centroid of the triangle ABC ?

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