Passing through point A (1, 1), (1-a) 2+(1-b) 2 = R2A2-2A+B2-2B+2 = R2 (65438.

Passing point b (2, -2), (2-a) 2+(-2-b) 2 = R2A2-4A+B2+4B+8 = R2 (2).

The center of the circle is on X-Y+1= 0A-B+1= 0A = B-1(3).

( 1)-(2)

2a-6b-6=0 a=3b+3 Substituted into (3)

3b+3=b- 1

b=-2 a=-3 r^2=25

The standard equation (x+3) 2+(y+2) 2 = 25 with C as the center.