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If radii of the smallest and the largest...

If radii of the smallest and the largest circle passing through `( sqrt( 3) ,sqrt(2))` and touching the circle `x^(2) +y^(2) - 2 sqrt( 2)y -2=0` are `r_(1)` and `r_(2)` respectively, then find the mean of `r_(1)` and `r_(2)`.

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