GAIC Math 2024 Problem 97

Answer

The distance between the highest point of the ellipse obtained by counterclockwise rotating the ellipse $\frac{x^{2}}{2}+y^{2}=1$ about the origin by 45 degrees and the origin is:_____.

Dataset text MathOdyssey. Open licence.

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$\frac{\sqrt{15}}{3}$

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