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conjugate axis on the y axis, slope of asymptote numerically equal to sqrt (26) / 500 of the distance between the directrices, transverse axis 20. find the equation of the hyperbola.
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It'd probably help everyone involved, including yourself, if you'd please sketch this hyperbola and label everything mentioned in your problem statement. What do you mean by "conjugate axis?" That's definitely not a common term.
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