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Find the length of the transverse and conjugate axes of the hyperbola `9x^(2) - 16y^(2) = 144`. Write down the equation of the hyperbola conjugate to it and find the eccentricities of both the hyperbolas.

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The correct Answer is:
8 and 6 and `e = 5/4, 16y^(2)-9x^(2) = 144,e = 5/3`
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