6. Coordinate geometry II


COORDINATE GEOMETRY II
Comic section 
  • Define a conic section 
  • Locate conic b sections in a cone
  • List conic sections 
The parabola 
  • Derive an equation of a parabola 
  • Sketch the graphs of a parabola 
  • Find equations of a tangent and normal to a parabola 
  • Write parametric equations of a parabola 
The ellipse 
  • Derive an equation of an ellipse 
  • Sketch the  graphs of an ellipse 
  • Find equations of a tangent and normal to an ellipse 
  • Write parametric equations of an ellipse 



The hyperbola 
  • Derive the equation of a hyperbola 
  • Sketch graphs of a hyperbola
  • Find equation of the tangent and normal to a hyperbola 
  • Write parametric equation of a hyperbola 
  • Find equation of   asymptotes hyperbola 
Polar coordinates 
  • Describe polar coordinates of a point
  • Find relationship between polar and rectangular coordinates 
  • Change polar equations into rectangular equations 
  • Draw graphs of polar equations