Two of the vertices of a triangle A B C are A(1,1), B(-1,-3) and the area of A B C is 6 sq. units...

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Two of the vertices of a triangle A B C are A(1,1), B(-1,-3) and the area of A B C is 6 sq. units. Ifis the centroid of the A B C, then find the locus of P.
(a) 2 x-y+1=0
(b) 2 x-y-3=0
(c) 2 x+y+3=0
(d) Both (a) and (b)

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