# If A(1 ,1) , B(6 ,5 ) C( 3/2, 2 ) are the vertices of triangle ABC. A point pis such that area of triangle PAB ,PAC ,PBC are equal ,then find the lenght of the line segment PQ where Q ( -7/6 , - 1/3)

Solution:

P is the centroid which is [  (1+6+3/2)/3 ,(1+5+2)/3]

=    P ( 17/6 ,8 /3)

= Q ( -7/6 ,1/3)

PQ = 5 Ans

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