Mathematical Topics:


Analytic Geometry 2

Subject 1: The ellipse: definition, foci, equation, tangent, intersection with a line.

  • Level 1 : Axes and foci of the ellipse x/a + y/b = 1
  • Level 2 : Equation of the ellipse given a and c
  • Level 3 : Equation of the tangent line
  • Level 4 : Intersection points of an ellipse and a line
  • Level 5 : Ratio of distances to a point and a line

Subject 2: The hyperbola: definition, foci, equation, asymptotes, tangent, intersection with a line.

  • Level 1 : Axes, foci and asymptotes of the hyperbola x/a - y/b = 1
  • Level 2 : Equation of the hyperbola given a and c
  • Level 3 : Equation of the tangent line
  • Level 4 : Intersection points of a hyperbola and a line
  • Level 5 : Ratio of distances to a point and a line

Subject 3: The parabola: definition, focus, directrix, parameter, equation, tangent, intersection with a line, tangents from an external point.

  • Level 1 : Find the parameter, the focus and the directrix
  • Level 2 : Find the parabola equation given certain data (e.g. the focus)
  • Level 3 : Find the tangent to the parabola at a given point
  • Level 4 : The intersection points of a parabola and a line
  • Level 5 : Find the tangent passing through an external point



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