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The distance between two points (x1, y1) and (x2, y2) is
whereas distance between any point (x, y) and origin is
on the graph. If the A, B and C are three collinear points then AB + BC = AC or AB + AC =BC or AC + BC = AB.
If three points on graphics are given and the sum of the distances of two points from a third points is equal to the distance between the first two points, the three points on the graph are collinear.
IF AB + BC = AC then A, B and C are collinear.