Question

Find the ratio in which the line segment joining A(1,-5) and B(-4,5) is divided by the x-axis. Also, find the coordinates of the point of division.

Answer 1

Let the line segment A(1, -5) and B(-4, 5) is divided at point P(x,0) by x-axis in ratio m:n

Here, (x, y) = (x, 0); (x₁, y₁) = (1, -5) and (x₂, y₂) = (-4, 5)

Hence, the ratio is 1:1 and the division is internal.

Now,

Hence, the coordinates of the point of division is (-3/2, 0)