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Question

{ If }C_1:x^2+y^2=(3+2\sqrt2)^2 be a circle. }PA and }PB}{ are pair of tangents on }C_1 where }P is any point on the }}{ director circle of }C_1, then the radius of the smallest }}{ circle which touches }C_1 externally and also the two }}{ tangents }PA and }PB is

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