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The points A x1,y1 , Bx2,y2 , Cx3,y3 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 point P on AD such that AP : PD = 2 : 1.(iii) Find the points of coordinates Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1.(iv) What are the coordinates of the centropid of the triangle ABC ?

Answer» The points A x1,y1 , Bx2,y2 , Cx3,y3 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 point P on AD such that AP : PD = 2 : 1.

(iii) Find the points of coordinates Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1.

(iv) What are the coordinates of the centropid of the triangle ABC ?


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