Q5 of 53 Page 115

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

A point P(x,y) divides the line formed by points (a,b) and (c,d) in the ratio of m:n, then the coordinates of the point P is given by


and


In the given question,


Let the point P divide AB is the ratio 1:k


Y coordinate of P



Simplifying


7k + 7 = 9k + 2


2k = 5


k =


and the ratio = 1:


=


Therefore point P divides AB in the ratio 2:5


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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 centroids of the triangles whose vertices are given below.

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


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