Important Maths Formulas of Coordinate Geometry
Distance Formula  The distance between two points P(x_{1}, y_{1}) and Q(x_{2}, y_{2}) is given by : 
Section Formula  The coordinates of the point that divides the line segment internally in the ratio of m_{1 }: m_{2} are: 
MidPoint Formula  The coordinates of a point that is the midpoint of a line segment and divides it internally in the ratio of 1:1 are: 
Centroid of a Triangle  The coordinates of a centroid of a triangle whose vertices are (x_{1}, y_{1}) and (x_{2}, y_{2}) and (x_{2}, y_{2}) are given by : 
Area of a Triangle  Area of a ΔABC whose vertices are A(x_{1}, y_{1}) and B(x_{2}, y_{2}) and C(x_{2}, y_{2}) is given by :

Collinear Points  If Area of a ΔABC whose vertices are A(x_{1}, y_{1}) and B(x_{2}, y_{2}) and C(x_{2}, y_{2}) is 0, then the points A, B and C are collinear.That is, if:Then, the points A, B and C are collinear. 