A Level Maths Notes: FP2 – Conic Sections - Circles, Ellipses, Parabolae and Hyperbolae
Circles, ellipses and hyperbolae have similar equations: All these curves are obtained from the intersection of a plane with a cone as shown above.
for
a circle of ellipses centred at the origin, with
for
a circle and
for
an ellipse and
for
a circle or ellipse centred at
For a hyperbola,
centred
at the origin or
for a hyperbola centred atat
with again
are all equations of parabolae.