# What is the eccentricity of a conic section? How can you classify conic sections by eccentricity? How does eccentricity change the shape of ellipses and hyperbolas?

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What is the eccentricity of a conic section? How can you classify conic sections by eccentricity? How does eccentricity change the shape of ellipses and hyperbolas?

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Step 1

Any conic section can be defined as the locus of points whose distances to a point (the focus) and a line (the directrix) are in a constant ratio. That ratio is called the eccentricity of the conic section , which is often denoted as e.

Step 2

The eccentricity (e) of an ellipse which is not a circle is greater than zero but less than 1.

If e=1 then it is Parabola.

If e>1 then it is Hyperbola [The eccentricity ...

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