& equation of ellipse is, 2²745²2=4 x² + y² = 1 1² 2²=4₁ 6=1 we know, two diameters Y=m₁ x and y=m₂x are conjugate iff. 2 mim₂ = - a² given equation of diameter is, зи-у=0) Y= зн _'~ m₁ = 3 -. by Ⓡ, (3) m₂ = = +₁ + m₂ = 7/₂ - :. rerd erum of conjugate diameter is, y=-=22x AN 12y=-x x+12y=0 An

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 22E
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& equation of ellipse is,
21 ²745²2= 4
2 22²2 +4²=1
1² 2²=4₁ 6==1
we know, two diameters Y = m₁ x and
y=m₂x are conjugate iff.
2
mim
--6--
(*)))
9²
given equation of diameter is,
32-y=07) Y= 3x
-'~ m₁ = 3
2. by Ⓡ, (3) m₂ = = =+
+ m₂ = 7₂
: red equier of conjugate
diameter is,
y = 7/22x
12y=-x
x+12y=0
Am
Transcribed Image Text:& equation of ellipse is, 21 ²745²2= 4 2 22²2 +4²=1 1² 2²=4₁ 6==1 we know, two diameters Y = m₁ x and y=m₂x are conjugate iff. 2 mim --6-- (*))) 9² given equation of diameter is, 32-y=07) Y= 3x -'~ m₁ = 3 2. by Ⓡ, (3) m₂ = = =+ + m₂ = 7₂ : red equier of conjugate diameter is, y = 7/22x 12y=-x x+12y=0 Am
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