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If e and e' are eccentricity of a hyperbola and its conjucate, then state whether ee' >11 is true or false with reason?

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Pawan joshi , 5 Years ago
Grade 12th pass
anser 2 Answers
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Arun

Last Activity: 5 Years ago

Dear student
e^2 = 1 + b^2 /a^2 = a^2 + b^2 / a^2
hence
e’^2 = a^2 + b^2 / b^2
hence when multiplying
e e’^2 = a^2 + b^2 ^2 / a^2 b^2
now use AM GM and you will find that
ratio os greater than one

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Arun

Last Activity: 5 Years ago

Dear student
You can also tell because
hyperbola has eccentricity greater than 1.
hence, whether it is conjugate hyperbola or hyperbola , eccentricity will always be 1.
hence
e> 1 , e’ > 1
e e’ > 1

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