In what ratio does the x-axis divide the join of A(2, -3) and B(5, 6)?
⇒ Let the ratio be k:1.
⇒ Then by section formula the coordinates of point which divide the line AB is given as
⇒ Since the point lies on x-axis its y-coordinate is zero.
⇒ = 0
⇒ 6k = 3
⇒ k = 1/2
Therefore the ratio in which x-axis divide the line AB is 1:2.