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We must use the eccentricity of a conic section to determine which type of curve to graph and then determine its specific characteristics.
Conic sections in polar coordinates. Graphing the polar equations of conics. This is not the case when graphing in polar coordinates. Graphing the polar equations of conics when graphing in cartesian coordinates each conic section has a unique equation.
When graphing in cartesian coordinates each conic section has a unique equation. Conic sections in polar coordinates identifying a conic in polar form. Any conic may be determined by three characteristics.
In polar coordinates a conic section with one focus at the origin and if any the other at a negative value for an ellipse or a positive value for a hyperbola on the x axis is given by the equation where e is the eccentricity and l is the semi latus rectum. Identifying a conic in polar form any conic may be determined by three characteristics. A single focus a fixed line called the directrix and the ratio of the distances of each to a point on the graph.
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