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Find the (i) centre, (ii) eccentricity, ...

Find the (i) centre, (ii) eccentricity, (iii) vertices and (iv) the equations of the directrices of the hyperbola `4x^(2) - 9y^(2) + 8x + 36y = 68.`

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The correct Answer is:
`pm (9)/(sqrt13)`
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Find (i) the centre (ii) the vertices (iii) the equations of the axes (iv) the length of axes (v) the eccentricities (vi) the lengths of latera recta (vii) the coordinates of foci and (viii) the equations of the directrices of the following two hyperbolas: 4x^(2) - 9y^(2) + 8x + 36y = 68 3x^(2) - 3y^(2) - 18x + 12y + 2 = 0