Analytic Geometry 2
Subject 1: The ellipse: definition,
foci, equation, tangent, intersection with a line.
 Level 1 : Axes and foci of the
ellipse x²/a² + y²/b² = 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 x²/a²  y²/b² = 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
