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JEE Main20207 Jan 2020Morning ShiftMathematicsStraight LinesActual

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 triangle A B C such that the triangles A P C , A P B and B P C have equal areas, then the length of the line segment P Q , where Q is the point - 7 6 , - 1 3 , is

Correct answer

5

Step-by-step solution

P must be centroid of ∆ A B C ∴ P 17 6 , 8 3 ⇒ P Q = 24 6 2 + 9 3 = 5 units

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