Question

If the point r (1,-2) divides externally the line segment joining p (2,5) and q in the ratio 3:4, what will be the coordinate of q

Answer 1

for r(1, - 2) 1 = [m(x2) - n(x1)] / n-m

1 = [3(x2) - 4(2)] / 4-1

1 = 3(x2) - 8

9 =3(x2)

3 = x2

Similarly - 2 = [m(y2) - n(y1)] / n-m

- 2 = 3(y2) - 20

6 = y2

So Q(3,6)