If the straight line x+y=k cut the curve...

If the straight line `x+y=k` cut the curve whose equation is `x^(2)+y^(2)-4x-4y+3=0` at two points.Then the sum of the possible values of k such that the lines joining the origin to the points of intersection subtends a right angle at the origin is:

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If the straight line `x+y=k` cut the curve whose equation is `x^(2)+y^(2)-4x-4y+3=0` at two points.Then the sum of the possible values of k such that the lines joining the origin to the points of intersection subtends a right angle at the origin is:

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