Consider the tangent line to the ellipse
(a) Show that the tangent fine has x-intercept
(b) Show that the portion of the tangent line cut off by the coordinate axes has minimum length a + b.
(c) Show that the triangle formed by the tangent line and the coordinate axes has minimum area ab.
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Chapter 3 Solutions
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
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