Question

Find the ratio in which the line segment joining

A and B (1, 5) ( 4,5)

is divided by the x-axis. Also find the point of intersection​

Answer 1

We know that by section formula, the co-ordinates of the points which divide internally the line segment joining the points (x1,y1) and (x2,y2) in the ratio m:n is

(x,y)=(m+nmx2+nx1,m+nmy2+ny1)

Now we have to find ratio

Let ratio be k:1

Hence

m1=k,m2=1

x1=1,y1=−5

x2=−4,y2=5

Also

x=x,y=0

Using section formula

y=m1+m2m1y2+m2y1

0=k+1k×5+1×(−5)

⇒0=