Let A 1 , 0 , B 6 , 2 and C 3 2 , 6 be the vertices of a triangle A B C . If P is a point inside the…

Let A1,0,B6,2 and C32,6 be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the triangles APC,APB and BPC have equal areas, then the length of the line segment PQ, where Q is the point -76,-13, is

Solution

P must be centroid of ABC
P176,83PQ=2462+93=5 units

Asked in: JEE Main 2020 (07 Jan Shift 1)

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