Question

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

Answer 1

Answer: let m lies on x-axis

Its y-coordinate is 0.

Let m(0, x).

By section formula

Y-coordinate of M=m(5)+n(-5)/m+n

0=5m+(-5n)/m+n

0×m+n=5m+(-5)n

0=5m+(-5n)

5m+(-5n)=0

5m=5n

m/n=5/5

m/n=1/1

m:n=1:1

The line segment joining A(1, -5)and B(-4, 5)is divided by x-axis in the ratio 1:1.