I f the length of the minor axis of an ellipse is equal to one fourth of the distance between the foci, then the eccentricity of the ellipse is:
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The length of the minor axis is equal to one-fourth of the distance between the foci.
Mathematically, this can be expressed as:
This simplifies to:
Given that the relationship between 
, and 
is:
Substitute 
into the equation:
Expanding and simplifying gives:
Divide both sides by 
:
Rearrange and solve for 
:
Solve for 
:
Thus, the eccentricity of the ellipse is:
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