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**Rectangular coordinate axes**

**cartesian coordinates of a point**

**Quadrants**

**Derivation to find the distance between two points + examples**

**In `DeltaABC` prove that `AB^2+AC^2=2(AO^2+BO^2)`; where O is the middle point of BC.**

**Calculate Area Of A Triangle ?**

**Condition for the three points to be collinear . Explain by giving an example.**

**Find area of Polygon by Stair Method**

**Internal division + proof + example :-Find the coordinates of a point which devides the line segments joining the points (6;2) and (-4;5) in the ratio 3:2 internally .**

**external division + proof + example:-Find the coordinates of a point which devides the line segments joining the points (6;2) and (-4;5) in the ratio 3:2 externally .**