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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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If in a ΔABC,  r1<r2<r3\Delta ABC,\;{r_1} < {r_2} < {r_3}, then
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Correct option: A
a<b<ca < b < c
Option A (a < b < c) is correct because the given inequality r1<r2<r3{r_1} < {r_2} < {r_3} implies that (s−a)>(s−b)>(s−c)\left( {s - a} \right) > \left( {s - b} \right) > \left( {s - c} \right), which leads to a<b<ca < b < c.

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