If 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 :

Question

Canvas Classes · Accepted Answer

🧠 Reading the Question — Translate the English into One Equation

This is the same family as ELPS-003 with a different ratio. The whole problem reduces to translating one sentence into algebra.

"Length of minor axis" . "Distance between the foci" . "One fourth of the distance between the foci" gives:

, i.e. , so .

First concrete move: square it (), combine with , and  pops out.

🗺️ Working It Out

.

Substitute : , i.e. , so  and .

Therefore .

⚡ The Smart Move

When the minor axis equals

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