For a point P that divides a line segment AB internally in the ratio

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

For a point P that divides a line segment AB internally in the ratio 1:21:2, which of the following relations between the lengths AP and PB is always true? (a) AP=12 PBAP = \dfrac{1}{2}\, PB (b) AP=2 PBAP = 2\, PB (c) PB=12 APPB = \dfrac{1}{2}\, AP (d) AP=13 PBAP = \dfrac{1}{3}\, PB

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