By section formulae the point are collinear
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YESS yiu are right formula is
p(x,y)=[m1x2+m2x1/m1+m2 , m1y2+m2y1/m1+m2]
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The section formula tells us the coordinates of the point which divides a given line segment into two parts such that their lengths are in the ratio m:n . ... The section formula is helpful in coordinate geometry; for instance, it can be used to find out the centroid, incenter and excenters of a triangle.
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