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Let ABCD is a rectangle with AB=a & BC=b...

Let `ABCD` is a rectangle with `AB=a` & `BC=b` & circle is drawn passing through `A` & `B` and touching side `CD`. Another circle is drawn passing thorugh `B` & `C` and touching side `AD`. Let `r_(1)` & `r_(2)` be the radii of these two circle respectively.
`(r_(1))/(r_(2))` equals

A

`a/b((4b^(2)+a^(2))/(4a^(2)+b^(2)))`

B

`b/a ((4a^(2)+b(2))/(4b^(2)+a^(2)))`

C

`a/b((4b^(2)-a^(2))/(4a^(2)-b^(2)))`

D

`b/a((a^(2)-4b^(2))/(4a^(2)-b^(2)))`

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