Erasmus+ Project- Hooked on Mathematics

1. Equation of the tangent in a
point of a conic with the method
of ‘honest distribution’
Interesting Mathematics 6

2. A parabola:
Find the equation of the tangent in point (- 4, - 4) of
the parabola with the method of ‘honest distribution’
Now replace one y with - 4 and one x with - 4 (the
coordinates of the point)
the equation of the tangent:
² 4 0y x 
² 4 0 . 2.( ) 0y x y y x x     
( 4). 2.( 4 ) 0 4 8 2 0y x y x         
2 4 0x y  

4. An ellipse:
Find the equation of the tangent in point (3, 2) of the
ellipse with the method of ‘honest distribution’
Now replace one y with 2 and one x with 3 (the
coordinates of the point)
the equation of the tangent:
2 ² 7 ² 46x y 
2 ² 7 ² 46 2. . 7. . 46x y x x y y    
3 7 23 0x y  
2.3. 7.2. 46 6 14 46x y x y    