Let A B C be the triangle with | Maths | JEE ADVANCED 2022

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JEE Advance 2022

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Let A B C be the triangle with $A B=1, A C=3$ and $\angle B A C=\frac{\pi}{2}$. If a circle of radius $r>0$ touches the sides $A B, A C$ and also touches internally the circumcircle of the triangle $A B C$, then the value of $r$ is $\_\_\_\_$ .

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