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One vertex of a triangle is a fixed poin...

One vertex of a triangle is a fixed point from where three lines pass `(a - b)x-(b-c) y +(c-a)= 0 , (b-c)x-(c-a) y +(a - b) = 0 , (c-a)x-(a - b) y +(b-c) = 0` Another vertex is `(3, 4)` and the third vertex lies on `x -` axis Then locus of the centroid of triangle is

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