Answer :


Let the point P (2, – 5) divide the line segment joining A (– 3,5) and B(4, – 9) in the ratio m:n.


Let (x,y) ≡ (2, – 5)


(x1,y1) ≡ (– 3,5)


and (x2,y2) ≡ (4, – 9)


Using Section Formula,




2 × (m + n) = 4m – 3n


2m + 2n = 4m – 3n


5n = 2m


m:n = 5:2


Since the ratio is positive, Point P divides the line segment AB internally in the ratio 5:2.

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