(a) Write an equation of the tangent line to the ellipse at point P.
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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