In what ratio does the x-axis divide the join of A(2, -3) and B(5, 6)?

Question

Philoid · Accepted Answer

⇒ 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.