Question

The point W divides the line XY in the ratio m : n. Then, the ratio of lengths of the line segments XY : WX is ______.

Options

• m + n : m

• m + n : n

• m : m + n

• m : n

Answer 1

The point W divides the line XY in the ratio m : n. Then, the ratio of lengths of the line segments XY : WX is m + n : m.

Explanation:-

`(XY)/(XW)= (XW)/(XW) + (WY)/(XW)`

`= 1 + (n/m) = (m+n)/m`

= m + n : m