If the line \( y=2-x \) is tangent to the circle \( S \) at the point \( P(1,1) \) and circle \(....

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If the line \( y=2-x \) is tangent to the circle \( S \) at the point \( P(1,1) \) and circle \( \mathrm{S} \) is orthogonal to the circle
P
\( x^{2}+y^{2}+2 x+2 y-2=0 \), then find the length of tangent
W
drawn from the point \( (2,2) \) to circle \( S \).


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