(a) Write an equation of the tangent line to the ellipse at point P.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 24E
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2783cc9-3302-4b9d-a707-8f818e347280%2Fdb6d9a66-aa95-4a14-b84f-464f2d86ff20%2F0650n3_processed.jpeg&w=3840&q=75)
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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