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The foci of a hyperbola coincide with the foci of the ellipse $ \frac{x^2}{25} + \frac{y^2}{9} = 1 $ . Find the equation of the hyperbola if its eccentricity $ e = 2 $ .
The tangent to the hyperbola ๐ฅ2−๐ฆ2=3 are parallel to the straight line 2๐ฅ+๐ฆ+8=0 at the following points:
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