If (alpha,beta) is a point on the circl...

If `(alpha,beta)` is a point on the circle whose center is on the x-axis and which touches the line `x+y=0` at `(2,-2),` then the greatest value of `alpha` is (a)`4-sqrt(2)` (b) 6 (c)`4+2sqrt(2)` (d) `+sqrt(2)`

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