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Circle question

2022 · Shift 1 · Q26

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PYQ Library
JEE Advanced
Mathematics
Circle
2022 · Shift 1 · Q26

Circle question

2022 · Shift 1 · Q26

JEE AdvancedMathematicsCircleNumerical+3 / −1

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\gt 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

\underline{\hspace{2cm}}

.

Numerical answer

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