Consider the ellipse 25x² + 49y² = 1225. Consider the point P(14,5). Find an equation for both lines tangent to the ellipse that pass by the point P(14,5). (a) The tangent line with the steepest slope is y = (b) The tangent line with the flatest slope is y =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 54E
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Consider the ellipse 25x² + 49y² = 1225. Consider the point P(14,5).
Find an equation for both lines tangent to the ellipse that pass by the point P(14,5).
(a) The tangent line with the steepest slope is
y =
(b) The tangent line with the flatest slope is
y =
Transcribed Image Text:Consider the ellipse 25x² + 49y² = 1225. Consider the point P(14,5). Find an equation for both lines tangent to the ellipse that pass by the point P(14,5). (a) The tangent line with the steepest slope is y = (b) The tangent line with the flatest slope is y =
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