Consider the parabola x = 4y and the focal chord y = 3/4x + 1. (a) Sketch

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Consider the parabola x² = 4y and the focal chord y = 3/4x + 1.
 

(a) Sketch the graph of the parabola and the focal chord.

(b) Show that the tangent lines to the parabola at the endpoints of the focal chord intersect at right angles.

(c) Show that the tangent lines to the parabola at the endpoints of the focal chord intersect on the directrix of the parabola.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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