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The equation of four circles are (x+-a)^...

The equation of four circles are `(x+-a)^2+(y+-a2=a^2` . The radius of a circle touching all the four circles is `(sqrt(2)+2)a` (b) `2sqrt(2)a` `(sqrt(2)+1)a` (d) `(2+sqrt(2))a`

A

`(sqrt2-1)a`

B

`2sqrt2a`

C

`(sqrt2+1)a`

D

`(2+sqrt2)a`

Text Solution

Verified by Experts

The correct Answer is:
`=asqrt2+a=a(sqrt2+1)`
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