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| BB Name the type of conic whose polar equation is given by r = 65 + 6 cos θ. BB |
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BB Find the polar equation of a conic whose focus is at the pole, eccentricity is 67 and the equation of the directrix is x = 5.
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| BB Find the equation of the directrix to the conic r = 85 + 4sin θ. BB |
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| BB Choose the conic sections from the following, each has two foci and two corresponding directrices. BB |
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| BB Name the set of all points in a plane whose distances from a particular point (the focus) and a particular line (the directrix) in the plane have a constant ratio? (Assume that the focus does not lie on the directrix.) BB |
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BB Name the line passing through the focus and perpendicular to the directrix of a conic section ?
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BB Which one of the following conic has one focus and one directrix?
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BB Which of the following could be the eccentricity of a hyperbola?
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| BB Find the eccentricity of the conic, if P is a point of a conic section with focus F, and D is the point on the directrix closest to P. BB |
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BB If e is the eccentricity of an ellipse, then which of the following is correct?
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| BB If e is the eccentricity of a hyperbola, then which of the following is correct? BB |
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BB If e is the eccentricity of a parabola, then which of the following is correct?
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| BB Find the polar equation of the conic whose focus is at the pole. BB |
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f Find the polar equation of a conic whose focus is at the pole, eccentricity is 23 and the equation of the directrix is x = 4.
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f Which of the following could be the eccentricity of an ellipse?
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| f Name the type of conic whose polar equation is given by r = 32 + 3 cos θ. f |
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| f Find the equation of the directrix to the conic r = 106 + 5sin θ. f |
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| f Find the polar equation of the conic whose eccentricity is e = 109 and the equation of whose directrix is y = - 2. f |
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| f Find the polar equation for the ellipse with one focus at the pole. f |
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f Which of the following represents the relation between Cartesian and Polar coordinates?
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f Find the cartesian equation of the polar equation r = 61 + 2 cos θ.
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f Find the polar equation for the ellipse with focus at the pole and [32, 0] and (6, π) as the end points of its major axis.
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f Find the ratio of perihelion distance to aphelion distance of a comet, which has an orbit with semimajor axis 18.09 AU and eccentricity 0.97.
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f Which of the following is not a polar equation of a conic?
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| f Find the polar equation of the conic whose eccentricity is e = 43 and the equation of whose directrix is y = - 2. f |
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f Find the cartesian equation of the parabola whose polar equation is r = 123 + 3 cos θ.
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