(a) Prove that if any two tangent lines to a parabola intersect at right angles, their point...

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(a) Prove that if any two tangent lines to a parabola intersect at right angles, their point of intersection must lie on the directrix.

(b) Demonstrate the result of part (a) by showing that the tangent lines to the parabola x² - 4x - 4y + 8 = 0 at the points (-2, 5) and (3, 5/4) intersect at right angles, and that the point of intersection lies on the directrix.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Mar 15, 2023 01:39 PM

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(a) Prove that if any two tangent lines to a parabola intersect at right angles, their point...

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a b Consider the parabola x 4py Let me be the slope o...View the full answer

Calculus

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