Coordinate Geometry

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Important Maths Formulas of Coordinate Geometry

Distance Formula The distance between two points P(x1, y1) and Q(x2, y2) is given by :

Distance Formula

Section Formula The coordinates of the point that divides the line segment internally in the ratio of m1 : m2 are:

x coordinate_Section formula

y coordinate_section formula

Mid-Point Formula The coordinates of a point that is the
mid-point of a line segment and divides it internally in the ratio of 1:1 are:Midpoint of a triangle
Centroid of a Triangle The coordinates of a centroid of a triangle whose vertices are (x1, y1) and (x2, y2) and (x2, y2) are given by :

Centroid of a triangle

Area of a Triangle Area of a ΔABC whose vertices are A(x1, y1) and B(x2, y2) and C(x2, y2) is given by :

Coordinate geometry_Area of a triangle

 

Collinear Points If Area of a ΔABC whose vertices are
A(x1, y1) and B(x2, y2) and C(x2, y2) is 0, then the points A, B and C are collinear.That is, if:Coordinate_Area of a triangle2Then, the points A, B and C are collinear.