Question

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.

PLEASE GIVE STEP BY STEP INFORMATION

Answer 1

Answer:

1:1, (-1,0)

Step-by-step explanation:

let ratio be = a:b

let pt = (x,0) (divided by x axis, so y=o)

now by section formula

y1*b + y2*a/ a+b = y

-5b+5a/a+b= 0

-5b+5a=0

5a=5b

a=b

ratio is 1:1

x= x1*b+x2*a/ a+b

=1*1 + (-4)*1/1+1

=1+ (-4/2)

=1-2

=-1

the point is (-1,0)

Answer 2

Let (x,y) divides AB in ratio k:1.