How do you identify whether
is a circle,
hyperbola, parabola, or an ellipse.
Rule:
For the equation:
1. If A = C, the equation is of a circle
2. If A or C is 0 but not both 0 the equation is of a parabola.
3. If A and C have the same sign, but are not equal, the equation is of an ellipse.
4. If A and C have opposite signs, the equation is of a hyperbola.
Your equation is
Comparing that to
,
(It doesn't matter about
,
, and
)
A and C have the same sign but they are not equal, so the graph is of
an ellipse.
Edwin