Collinearity of three given points

Straight Line of Class 11

Collinearity of three given points

Three given points A, B, C will be collinear if they lie on the same straight line. Mathematically, the collinearity of three points can be ascertained by any of the following method:

(a) The area of the triangle ABC is zero.

or (b) Slope of AB = Slope of BC = Slope of AC

or (c) Find the equation of the straight line through any two points. If the third point satisfies the equation, then the three points are collinear.

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