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In a Delta ABC, if (II(1))^(2)+(I(2)I(3)...

In a `Delta ABC`, if `(II_(1))^(2)+(I_(2)I_(3))^(2)=lambda R^(2)`, where I denotes incentre, `I_(1),I_(2) and I_(3)` denote centres of the circles escribed to the sides BC, CA and AB respectively and R be the radius of the circum circle of `DeltaABC`. Find `lambda`.

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