ellipse

Question

The eccentricity of an ellipse is always

RankGuru · Accepted Answer

1. **Eccentricity (e)** represents the 'flatness' of the conic section.
2. **Math Relation**: For an ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, $b^2 = a^2(1 - e^2)$.
3. **Constraint Analysis**: Since $b^2$ must be positive and less than $a^2$ (for non-circular ellipses), $1 - e^2$ must be between $0$ and $1$.
4. **Conclusion**: This implies **$0 < e < 1$**. For a circle, $e = 0$.

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More ellipse Practice Questions

The standard equation of an ellipse with major axis along x-axis is