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QJEEM20Ma7217: JEE Main 2020 Mathematics - Class 11 JEEM20Ma7217 Solution: Let A(1, 0), B(6, 2) and C ( 3 2 , 6 ) be the vertices of a…

Let A(1, 0), B(6, 2) and C (32,6) 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 ________.

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JEE Main 2020 (Online) 7th January Morning Slot Mathematics - Straight Lines and Pair of Straight Lines Question 95 English Explanation
P is centroid of the triangle ABC.

P = (1+6+323,0+2+63)

= (176,83)

Given Q (−76,−13).

∴ PQ = (246)2+(93)2 = 5

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