The equation of the circle of radius `2sqrt(2)` whose centre lies on the line `x-y=0` and which touches the line `x+y=4`, and whose centre is coordinate satisfy `x+ygt4`, is
A. `x^(2)+y^(2)-8x-8y+24=0`
B. `x^(2)+y^(2)=8`
C. `x^(2)+y^(2)-8x+8y-24=0`
D. none of these
