Why is the eccentricity of an ellipse between $0$ and $1$ ?

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Solution

The eccentricity of an ellipse is defined as the ratio of the distance between its two foci and the length of the major axis.
The eccentricity of an ellipse is between 0 and 1 because the distance from the fixed point on the plane has a constant ratio which is less than the distance from the fixed line in the plane.

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