Q6 of 53 Page 115

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

According to the mid point theorem the coordinates of the point P(x,y) dividing the line formed by A(a,b) and B(c,d) is given by:




The coordinates of midpoint(x,y) are




Hence the coordinates are (11,18)


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4

Point P is the centre of the circle and AB is a diameter. Find the coordinates ofpoint B if coordinates of point A and P are (2, -3) and (-2, 0) respectively.

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

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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)

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