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Geometry Level 3

If the foci of the ellipse \( \large \frac{x^2}{25}+\frac{y^2}{9}=1\) are \( (4,0)\) and \((-4,0)\), then for real number \(\lambda\), the foci of the ellipse \( \large \frac{x^2}{25+ \lambda^2}+\frac{y^2}{9+\lambda^2}=1\) are:

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