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A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the...

A circle `x^2+y^2+4x-2sqrt(2)y+c=0` is the director circle of the circle `S_1a n dS_1` is the director circle of circle `S_2,` and so on. If the sum of radii of all these circles is 2, then the value of `c` is `ksqrt(2)` , where the value of `k` is___________

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