# Ellipse equation. What does it need to be in order for $b > a$?

$$ax^2 + bx + cy^2 + dy + e$$ $a$ and $c$ are both negative or both positive.
How can I, by looking at that only, determine whether $b$ (the length of the semi-minor axis) will be bigger than $a$ (the length of the semi major axis)?
You're using $a$ and $b$ with two different meanings... – Hans Lundmark Apr 19 '14 at 19:37