Question

Find the ratio in which the line segment joining points (1,-3), (4,5) is divided by x axis.​

Answer 1

Refer to attachment........

Answer 2

Answer: Ratio is 3:5 internallyAnswer: R

Step-by-step explanation:

Let the point on X-axis be P (x,0)  since the y-coordinate is always zero on x - axis.

Given A(1, -3) and B(4,5)

Let P divides the line joining the given points (1, -3) and (4, 5) in the ratio m : 1

The coordinates of  

P = (mx2 + x1 / m +1 , my2 + y1 / m + 1)

i.e. (x, 0 ) = ( 4m +1/ m+1 , 5m -3/ m+1)

By comparing both the sides, we get

5m -3/ m+1 = 0

5m-3 = 0

=> 5m = 3

    m = 3/5

   m:1 = 3/5 :1

         = 3:5

Therefore, P divides the line segment joining two points in the ratio 3:5 internally.

hope this helps you