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If C(1): x^(2)+y^(2) =(3+2sqrt(2))^(2) b...

If `C_(1): x^(2)+y^(2) =(3+2sqrt(2))^(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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