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Given that the equation of the hyperbola is 9x(squared)-4y(squared)=36.
(i)Find the centre and vertices
(ii)Find the foci and eccentricity
(iii)find the equation of the asymptotes

  • maths -

    change to standard form:

    x^2/4 - y^2/9 = 1

    a = 2
    b = 3
    c^2 = 4+9 = 13
    c = √13

    (i) center: (0,0)
    vertices: (±2,0)
    (ii) foci at (±√13,0)
    (iii) asymptotes: y = ±3/2 x

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