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MathNet 2021 — Part 02 Question 99

Math Olympiad Vault · MathNet 2021 — Part 02

Question 99

In a plane rectangular coordinate system $xOy$, given ellipse
$$\Gamma : \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \quad (a \gt b \gt 0),$$
find the range of the eccentricity of $\Gamma$.