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Question

Equation of the circle of radius $square root of 2 text ´ containing the point end text left parenthesis 31 right parenthesis text and touching the line end text vertical line x minus 1 vertical line equals vertical line y minus 1 vertical line$ is

$x^{2} + y^{2} - 4 x - 2 y + 3 = 0$
$x^{2} + y^{2} - 6 x + 4 y + 11 = 0$
$x^{2} + y^{2} - 6 x - 2 y + 8 = 0$
$x^{2} + y^{2} + 4 x + 4 y + 6 = 0$

The correct answer is: $x to the power of 2 end exponent plus y to the power of 2 end exponent minus 6 x minus 2 y plus 8 equals 0$

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