Unit-I: Sets and Functions
Unit-II: Algebra
Unit-III: Coordinate Geometry
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability

Condition of Collinearity of three points

 A (x_1, y_1), B (x_2,y_2) and  C (x_3,y_3)   are collinear if

(i)  m_{AB}=m_{BC}=m_{CA}

i.e.,  \left( \dfrac{y_1-y_2}{x_1-x_2} \right)=\left( \dfrac{y_2-y_3}{x_2-x_3} \right)

(ii)  AC=AB+BC or AB\sim BC

(iii)   B divides the line segment  AC  in same ratio.

 

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