Image of the curve x2+y2=1 in the line x+y=1
x2+y2+2x+2y+1=0
x2+y2-2x+2y+1=0
x2+y2+2x-2y+1=0
x2+y2-2x-2y+1=0
Image of (0,0) in lines is (1,1)
∴ image circle is (x−1)2+(y−1)2=1