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PrecalculusChallengeConic Sections and Parametric Equations

Conic Sections and Parametric Equations · Challenge problem

Write a polar equation, with a focus at the pole, for the ellipse x225+y29=1\dfrac{x^2}{25}+\dfrac{y^2}{9}=1 using its left focus and a vertical directrix. (Find ee, then d=a2c−cd=\tfrac{a^2}{c}-c.)