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  4. In a right angled triangle BC =5, AB =4, AC =3. Let S be the circum circle, let S 1 be the circle touching both sides AB and AC and circle S internally. Let S 2 be the circle touching the sides AB and AC of triangle ABC, and touching the circle S externally if r 1, r 2 are radii of circles S 1 and S 2 respectively, then √1+ r 1 r 2 is

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Q. In a right angled triangle $BC =5, AB =4, AC =3$. Let $S$ be the circum circle, let $S _1$ be the circle touching both sides $AB$ and $AC$ and circle $S$ internally. Let $S _2$ be the circle touching the sides $AB$ and $AC$ of triangle $ABC$, and touching the circle $S$ externally if $r _1, r _2$ are radii of circles $S _1$ and $S _2$ respectively, then $\sqrt{1+ r _1 r _2}$ is

JEE AdvancedJEE Advanced 2021

Solution:

Correct answer is '5'