Distance & Section Formula

1. Distance Formula.

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

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

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

If Points A , B and C are Collinear then 

2. Section Formula. 

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

Section Formula

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

Section Formula

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

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

If any line divides the joint of any two points in ratio AP : PB then

3. Centre of Gravity or Centroid of Triangle ABC.

Centre of Gravity or Centroid

4. Incentre of Triangle ABC. 

Incentre of Triangle ABC

5. Circum Centre of a Triangle ABC.

Circum Centre of a Triangle ABC

6. Orthocentre of Triangle ABC.

Orthocentre of Triangle ABC

7. Excentres of a Triangle ABC.

Excentres of a Triangle ABC

8. Area of Triangle ABC.

Area of Triangle ABC

9. Area of Triangle in Polar Form.

Area of Triangle in Polar Form

10. Area of Triangle in Side form.

Area of Triangle in Side form

11. Area of Triangle in Side Form.

Area of Triangle in Side form

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

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 ≡ (x1 , y1 ) , Q ( x2 , y2 ) and R ( x3 , y3 ) then

If P , Q and R mid point of the sides of a ΔABC are P ≡ (x1 , y1 ) , Q ( x2 , y2 ) and R ( x3 , y3 ) then 

14. Area of Quadrilateral.

Area of Quadrilateral

15. Area of Polygon.

Area of Polygon

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