Question

Find the ratio in which the line segment joining the points A (3, 8) and B (-9, 3) is divided by the Y-axis.

Answer 1

Let C be a point on Y-axis which divides seg AB in the ratio m : n.

Point C lies on the Y-axis 

∴ its x co-ordinate is 0. 

Let C = (0, y) 

Here A (x1,y1) = A(3, 8)

B (x₂ , y₂ ) = B (-9, 3) 

∴ By section formula,

Y-axis divides the seg AB in the ratio 1:3.