Answer :

The diagram for the question is

Let the ratio in which the line segment joining A (1, - 5) and B ( - 4, 5) is divided by *x-*axis be k: 1

Therefore, the coordinates of the point of division is (, )

We know that *y*-coordinate of any point on *x*-axis is 0

Therefore,

= 0

k = 1

Therefore, *x*-axis divides it in the ratio 1:1.

Division point = (, )

= ()

= (, 0)

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