##### Coordinate Geometry – Notes

**Distance Formula**

The distance between the points (x_{1}y_{1}) and (x_{2},y_{2}) is given by :

The distance of the point (x, y) from origin is given by :

Three points A, B and C are collinear if AB + BC = AC

**Section Formula**

The section formula states that any point P(x, y) that divides a line segment in the ratio m:n can be represented as ( )

The following are the corollaries f the section formula :

- The midpoint of a line segment joining (x
_{1}, y_{1}) and (x_{2}, y_{2}) is: ( , ) - The centroid G of a triangle, with vertices ( ), ( and ( is:

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CBSE Class 10th Maths 7 - Coordinate Geometry - Notes

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