## 1. Distance Formula.

(a). Distance b/w origin and any Point.

(b). Distance b/w given any two Points.

(c). Distance b/w two points in Polar form.

Note : If Points A , B and C are Collinear then Distance of AC = Distance of AB + Distance of BC

2. Section Formula.

(a). If Point P is Internal Division of line AB in ratio m : n then

(b). If Point P is External Division of line AB in ratio m : n then

(c). If point P is mid – point of line AB in ratio m : n then

(d). If any line divides the joint of any two points in ratio AP : PB then

3. Centre of Gravity or Centroid of Triangle ABC.

4. Incentre of Triangle ABC.

5. Circum Centre of a Triangle ABC.

6. Orthocentre of Triangle ABC.

7. Excentres of a Triangle ABC.

8. Area of Triangle ABC.

9. Area of Triangle in Polar Form.

10. Area of Triangle in Side form.

11. Area of Triangle in Side Form.

12. If three Points A , B and C are Collinear then

13. If P , Q and R mid point of the sides of a ΔABC are P ≡ (x_{1} , y_{1} ) , Q ( x_{2} , y_{2} _{)} and R ( x_{3} , y_{3} _{)} then

14. Area of Quadrilateral.

15. Area of Polygon.

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