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Rectangular Hyperbola

If a,b are ...

Question

If $a, b$ are eccentricities of a hyperbola and its conjugate hyperbola then $a^{- 2} + b^{- 2}$ =

A

4

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B

1

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C

a^{2} b^{2}

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D

2 a^{2} b^{2}

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Solution

The correct option is B $1$
$a_{1} b a r e e c c e n t r i c i t e s t h e n,$
$\Rightarrow a^{- 2} + b^{- 2} = 1$

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