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For the hyperbola 4x^2 - 9y^2 = 36, find the foci, eccentricity, the directrices and the lengths of the axis.

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For the hyperbola 4x2 - 9y2 = 36, find the foci, eccentricity, the directrices and the lengths of the axis.

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The given hyperbola is x2/9 - y2/4 = 1

so that a2 = 9, b2 = 4 , . We have

Foci are given by

Directrices are given by

Transeverse axis length is 2a = 6 and conjugate axis length = 2b = 4.

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