The ratio in which the line segment joining the points (3,−4)  and  (−5,6)  is divides by the x-axis, is

Let P is the point on x-axis which divides the line segment joining points in the ratio λ:1,  then , x=−5λ+3λ+1,  y=6λ−4λ+1 but as it is know for point on x-axis, then its y-coordinate=0 ⇒     6λ−4λ+1=0        ⇒     λ=23