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In the given figure DeltaABC is equilate...

In the given figure `DeltaABC` is equilateral on side AB produced. We choose a point such that A lies between P and B. We now denote 'a' as the length of sides of `DeltaABC`, `r_1` as the radius of incircle `DeltaPAC` and `r_2` as the ex-radius of `DeltaPBC` with respect to side BC. Then `r_1 + r_2` is equal to

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