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A circle x^2 +y^2 + 4x-2sqrt2 y + c = 0 ...

A circle `x^2 +y^2 + 4x-2sqrt2 y + c = 0` is the director circle of circle `S_1 and S_1` is the director circle of circle `S_2`, and so on. If the sum of radii of all these circles is 2, then find the value of c.

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B, D
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