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(a) Write an equation of the tangent line to the ellipse at point P.

(a) Write an equation of the tangent line to the ellipse at point P.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Let P(ro, yo) be a point on the ellipse = + = =1 with foci Fi(-c,0) and F2(c, 0). Let L be the tangent line to the ellipse at point P and let L be the line through P perpendicular to L. Let a and 3 be the angles between the line and the lines PF, PF2, respectively. (a) Write an equation of the tangent line L to the ellipse at point P. (b) It is known that if two lines L. and A, intersect at an angle 8, then WA1 2222222 where m, and my are the slopes of A and L, respectively. By using this fact. prove that a
Transcribed Image Text:1. Let P(ro, yo) be a point on the ellipse = + = =1 with foci Fi(-c,0) and F2(c, 0). Let L be the tangent line to the ellipse at point P and let L be the line through P perpendicular to L. Let a and 3 be the angles between the line and the lines PF, PF2, respectively. (a) Write an equation of the tangent line L to the ellipse at point P. (b) It is known that if two lines L. and A, intersect at an angle 8, then WA1 2222222 where m, and my are the slopes of A and L, respectively. By using this fact. prove that a
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