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A(1)(x(1),y(1)),A(2)(x(2),y(2)),A(3)(x(3...

`A_(1)(x_(1),y_(1)),A_(2)(x_(2),y_(2)),A_(3)(x_(3),y_(3))`……….are a point in a plane such that
If a straight line be such that algebraic sum of the perpendicular drawn from the points `A_(1),A_(2),……………A_(n)` is zero then prove that the straight line passes is the centroid G of the given points.

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