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The equation of four circles are ( x pm ...

The equation of four circles are `( x pm a)^(2) + ( y pm a) ^(2) = a^(2)` . The radius of a circle touching all the four circle is

A

`9 sqrt(2) +2) a`

B

`2 sqrt(2) a`

C

`( sqrt(2) +1) a`

D

`( 2 + sqrt(2))a`

Text Solution

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The correct Answer is:
C
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