Co-linearity of three points:
Following methods are used to prove that 3 given points P(x1, y1), Q(x2, y2), R(x3, y3) are collinear.
Method 1:If P,Q and R are collinear, then the area of triangle is formed by these 3 points should be equal to zero
Method 2: Any one point of given 3 points should divide other 2 points either internally or externally.
for some real m and n.
Method 3: Slope of PQ = Slope of QR
The condition for 3 lines a1x + b1y + c1 = 0, a2x + b2y + c2 = 0, a3x + b3y + c3 = 0 to be concurrent is given by.
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