if the point A(2, 1); B(a, b) and C(9, -1) are the vertices of a triangle, find the values of a and b.

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Solution

On a cartesian plane any three points which are not collinear (not in a single line) makes a triangle.
If (2,1) (a,b) and (9,-1) are the vertices of triangle then (a,b) could be anything other than point lying on line joining (2,1) and (9,-1)

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