Question

find the ratio in which x axis divides the line segment joining the points 2, - 3 and 5, 6 then find the intersecting point on x-axis​

Answer 1

Let ratio be k:1

points are ( 2,-3) and (5,6)

As x axis is dividing so y coordinateis 0

O = k (6)+ 1( -3)/ k+1

6k -3 = 0

6k = 3

k= 1/2

So ratio is 1:2

x= 1( 5) + 2( 2))/ 1+2

= 5 + 4)/ 3

= 9/3

= 3

So x axis point = (3,0)