Q1 of 53 Page 115

Find the coordinates of point P if P divides the line segment joining the points A(-1,7) and B(4,-3) in the ratio 2:3.

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


x = = 1


y =


y = 3


Hence the coordinates of the point are (1,3).


More from this chapter

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7

Find x if distance between points L(x, 7) and M(1, 15) is 10.

 8

Show that the points A(1, 2), B(1, 6), C(1 + 2 √3, 4) are vertices of an equilateral triangle.

 2

In each of the following examples find the co-ordinates of point A which divides segment PQ in the ratio a:b.

(1) P(-3, 7), Q(1, -4), a:b = 2:1


(2) P(-2, -5), Q(4, 3), a:b = 3:4


(3) P(2, 6), Q(-4, 1), a:b = 1:2

 3

Find the ratio in which point T(-1, 6)divides the line segment joining the pointsP(-3, 10) and Q(6, -8).