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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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(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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