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If the incircle of the Delta ABC touches...

If the incircle of the `Delta ABC` touches its sides at `L`, `M` and `N` as shown in the figure and if `x`, `y`, `z` be thecircumradii of the triangles `MIN`, `NIL` and `LIM` respectively, where `I` is the incentre, then the product `xyz` is equal to:
(A) `R r^2`         (B)` r R^2`
(C) `1/2R r^2 `         (D) `1/2r R^2`

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