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PART - 2 CH - 10 Conic Sections — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsPART - 2 CH - 10 Conic Sections1 Mark
Question
Find the eccentricity of rectangular hyperbola.
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Answer

We know that
$b^2=a^2\left(e^2-1\right)$
Here $b=a$
So, $a^2=a^2\left(e^2-1\right)$
$\Rightarrow \quad e^2=2 \Rightarrow e=\sqrt{2}$
So eccentricity of rectangular hyperbola is 2 .

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