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The equation of the auxiliary circle of the hyperbola `x^2/a^2-y^2/b^2=1` is

A

1. `x^2+y^2=a^2`

B

2. `x^2+y^2=4a^2`

C

3. `x^2+y^2=b^2`

D

4. `x^2+y^2=4b^2`

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A
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