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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 radii `r_(1)`, `r_(2)` externally , which also touch eath other externally, is conic. If `(r_(1))/(r_(2))=3+2sqrt(2)`, then eccentricity of the conic, is

A

`1`

B

`sqrt(2)`

C

`1//2`

D

`2sqrt(2)`

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option 2
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