If \( r_{1}, r_{2}, r_{3} \) are radii of the escribed circles of a triangle \( \mathrm{ABC} \) ... VIDEO
If \( r_{1}, r_{2}, r_{3} \) are radii of the escribed circles of a triangle \( \mathrm{ABC} \) and \( \mathrm{r} \) is the radius of its incircle, then the roots of equation \( x^{2}-r\left(r_{1} r_{2}+r_{2} r_{3}+r_{3} r_{1}\right) x+\left(r_{1} r_{2} r_{3}\right)-1=0 \) is (are)
[Note: All symbols used have usual meaning in triangle \( A B C \). ]
(a) \( r_{1} \)
(b) \( r_{2}+r_{3} \)
(c) 1
(d) \( \left(r_{1} r_{2} r_{3}\right)-1 \)
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