The line joining the points A (-3, -10) and B (-2, 6) is divided by the point P such that . Find the co-ordinates of P.

Question

KnowledgeBoat · Accepted Answer

Let co-ordinates of P be (a, b). Given, Let PB = x and AB = 5x. From figure, ⇒ AB = PA + PB ⇒ 5x = PA + x ⇒ PA = 4x. . PA : PB = 4 : 1. ∴ P divides the line segment joining A and B in ratio = 4 : 1. By formula, Hence, P = .

Mathematics

The line joining the points A (-3, -10) and B (-2, 6) is divided by the point P such that . Find the co-ordinates of P.

Section Formula

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