Find the ratio in which P(4, m) divides the line segment

• Geometry (C10)

Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and B(6, –3). Hence find m.

Answer

Let AP : PB = k : 1

Applying section formula,

(6k+2)/(k+1) = 4

k = 1

Ratio is 1 : 1. P divides the line AB into 1 : 1 ratio.

Hence, m = (-3 + 3)/2

= 0