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5. Co-ordinate Geometry
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Q7 of 53 Page 115

Find the centroids of the triangles whose vertices are given below.

(1) (-7, 6), (2, -2), (8, 5)


(2) (3, -5), (4, 3), (11, -4)


(3) (4, 7), (8, 4), (7, 11)

The coordinates of the centroid (x,y) od a triangle formed by points (a,b), (c,d), (e,f) is given by



1.



2.



3.



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5

Find the ratio in which point P(k, 7) divides the segment joining A(8, 9) andB(1, 2). Also find k.

6

Find the coordinates of midpoint of the segment joining the points (22,20) and (0, 16).

8

In ΔABC, G (-4, -7) is the centroid. If A (-14, -19) and B(3, 5) then find theco-ordinates of C.

9

A(h, -6), B(2, 3) and C(-6, k) are the co-ordinates of vertices of a trianglewhose centroid is G (1, 5). Find h and k.

Questions · 53
5. Co-ordinate Geometry
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