Q5 of 33 Page 167

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

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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