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Find the centre, eccentricity, foci directrices and the length of the latus rectum of the following hyperbolas `(i) 4x^(2) - 9y^(2) - 8x - 32 = 0 `
(ii) `4(y + 3)^(2) + 9(x - 2)^(2) = 1`

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The correct Answer is:
`(4)/(9)`
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