Question

Find the coordinates of the point which divides the line seg-

ment joining the points (1, – 3) and (– 3, 9) in the ratio 1 : 3.​

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+1

1×3+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.