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    Polar equations of conics

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    (6 problems)
    Q:1 write a polar equation of a conic with the focus at the origin and the given data.
    1.Parabola, directrix x=4

    2.Hyperbola, eccentricity 2, directrix y = -2

    3.Ellipse, eccentricity 0.8, vertex (1, ∏/2)

    Q:2 (a)find the eccentricity,(b)identify the conic,(c)give an equation of the directrix, and (d)sketch the conic.
    1.r = 6/(3+2 sinθ)
    2.r = 4/(2-3 cosθ)
    3.r = 5/(2-2 sinθ)

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    https://brainmass.com/math/basic-algebra/polar-equations-conics-242297

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    (6 problems)
    Q:1 write a polar equation of a conic with the focus at the origin and the given data.
    1. Parabola, directrix x=4

    The polar equation will be

    Given d = 4, e = 1( eccentricity e = 1 for parabola)

    Since d>0, therefore, polar equation will be

    2. ...

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