Question

If the point C(−1,2) divides the line segment AB in the ratio 3 : 4, where the
coordinates of A are (2, 5), then find the coordinates of B..

Answer 1

Let the coordinates of B are (x, y)

It is given that the line segment divide in the ratio 3:4

So, m1 = 3 and m2 = 4 and

(x’, y’) =(-1, 2); (x1, y1) = (2,5); (x2, y2) = (x, y)

3x + 8 = -7 and 3y + 20 = 14 ⇒ 3x = -7 – 8 and 3y = 14 – 20 ⇒ 3x = -15

and 3y = -6 ⇒ x = -5 and y = -2

Hence, the coordinates of B are (-5, -2)