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If the foci of (x^2)/(a^2)-(y^2)/(b^2)=1...

If the foci of `(x^2)/(a^2)-(y^2)/(b^2)=1` coincide with the foci of `(x^2)/(25)+(y^2)/9=1` and the eccentricity of the hyperbola is 2, then `a^2+b^2=16` there is no director circle to the hyperbola the center of the director circle is (0, 0). the length of latus rectum of the hyperbola is 12

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