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A circle S of radius ' a ' is the direct...

A circle `S` of radius `' a '` is the director circle of another circle `S_1,S_1` is the director circle of circle `S_2` and so on. If the sum of the radii of all these circle is 2, then the value of `' a '` is (a) `2+sqrt(2)` (b) `2-1/(sqrt(2))` (c) `2-sqrt(2)` (d) `2+1/(sqrt(2))`

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