Question

Find the co-ordinates of the point which divides the line segment joining the
points A and B in the ratio 1 : 3 internally​

Answer 1

Answer:

Let (h,k) be the point which divides the line segment joining points (1,−3) and (−3,9) in the ratio 1:3 internally.

By section formula,

(h,k)=(3+11×3+1×(−3),1+3−3×3+9×1)=(0,0)

Hence the origin divides the line segment joining points (1,−3) and (−3,9) in the ratio 1:3 internally.