2. Determine whether the sets of points are collinear?
(a, b+c), (b, c+a) and (c, a+b)
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Sol: The points are A(a,b+c), B(b,c+a), C(c,a+b). If the area of triangle is zero then the points are called collinear points. If three points (x1, y1), (x2, y2) and (x3, y3) are collinear then [x1(y2 - y3) + x2( y3 - y1)+ x3(y1 - y2)] = 0.
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yes it is collinear
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