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A square OABC is formed by line pairs xy...

A square OABC is formed by line pairs `xy=0` and `xy+1=x+y` where o is the origin . A circle with circle `C_1` inside the square is drawn to touch the line pair `xy=0` and another circle with centre `C_2` and radius twice that `C_1` is drawn touch the circle `C_1` and the other line .The radius of the circle with centre `C_1`

A

`(sqrt(2))/(sqrt(3)(sqrt(2)+1))`

B

`(2sqrt(2))/(3(sqrt(2)+1))`

C

`(sqrt(2))/(3(sqrt(2)+1))`

D

`(sqrt(2)+1)/(3sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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