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The points A (x(1),y(1)), B (x(2),y(2)) ...

The points A `(x_(1),y_(1)), B (x_(2),y_(2)) and C (x_(3),y_(3))` are the vertices of `triangle`ABC.
(i) The median from A Meets Bc at D. Find the coordinates of the points D.
(ii) Find the coordinates of the point P on Ad such that `AP : PD = 2 : 1`.
(iii) Find the coordinates of points Q and R on medians BE and CF, respectively such that `BQ : QE=2 :1 and CR : RF =2 : 1`.
What are the coordinates of the centroid of the `triangle` ABC?

Text Solution

Verified by Experts

The correct Answer is:
`Q((x_(1)+x_(2)+x_(3))/(3),(y_(1)+y_(2)+y_(3))/(3)),R((x_(1)+x_(2)+x_(3))/(3),(y_(1)+y_(2)+y_(3))/(3))`
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