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Question

If $left parenthesis alpha beta comma right parenthesis$ is a point on the circle whose centre is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of a is

$4 = \sqrt{2}$
6
$4 + 2 \sqrt{2}$
$4 + \sqrt{2}$

The correct answer is: $4 plus 2 square root of 2$

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