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The locus of the centre of a variable ci...

The locus of the centre of a variable circle touching two circles of radius `r_(1)` and `r_(2)` externaly which also touch each other externally is a conic. The eccentricity of the conic if `(r_(1))/(r_(2))=3+2sqrt(2)` is

A

1

B

`sqrt(2)`

C

`1/2`

D

`2sqrt(2)`

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The correct Answer is:
B
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