Normals are drawn to the hyperbola = 1 at points , and meeting the conjugate axis at G₁ 3² :d G₂, respectively. If 0, +0₂= 7/2, prove that CG, CG₂ where C is the center of the hyperbola and e is its a²eª 2-1'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Normals are drawn to the hyperbola
1 at points , and 0 meeting the conjugate axis at G₁
3²
1
2
:d G₂, respectively. If 0 + 0 = π/2, prove that CG, CG₂
I
a²e4
where C is the center of the hyperbola and e is its
e²-1'
centricity.
Transcribed Image Text:Sult Normals are drawn to the hyperbola 1 at points , and 0 meeting the conjugate axis at G₁ 3² 1 2 :d G₂, respectively. If 0 + 0 = π/2, prove that CG, CG₂ I a²e4 where C is the center of the hyperbola and e is its e²-1' centricity.
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