# Choice of ellipses --- Introduction ---

An ellipse (oriented horizontally/vertically) is described by an equation of the form

$a\left(x-{x}_{0}{\right)}^{2}+b\left(y-{y}_{0}{\right)}^{2}=c$,

or of the form

$a{x}^{2}+b{y}^{2}+cx+dy+e=0$,

where $\left({x}_{0},{y}_{0}\right)$ is the center of the ellipse and the ratio between the two axes of the ellipse is described by the ratio between $a$ and $b$ (how?).

This online exercise can either plot an ellipse and ask you to recognize its equation among a list to choose from, or give an equation and ask you to recognize the plotted ellipse among a list to choose from.

Configuration of the exercise :
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• And a session will be composed of ( with a score assigned at the end of each session).
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• Description: recognize an ellipse according to its equation, or vice versa. interactive exercises, online calculators and plotters, mathematical recreation and games
• Keywords: interactive mathematics, interactive math, server side interactivity, geometry, analytic_geometry,ellipse,conics,graphing,curves