Q16 of 184 Page 10

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 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)


So,


⇒ 0 = 5m – 5n


⇒ 5m = 5n



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


Now,





Hence, the coordinates of the point of division is


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