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.

Let point on x-axis be (x, 0) as y-coordinate = 0 on x-axis. Let ratio be k : 1. By section-formula, (x, y) = Substituting for y-coordinate we get, k : 1 = 1 : 1. Substituting value for x-coordinate, we get : Point = (x, 0) = . Hence, ratio = 1 : 1 and point of division = .