Consider the tangent line to the ellipse
(a) Show that the tangent line has x-intercept a2/p and y-intercept b2/q.
(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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Calculus, Early Transcendentals
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