The points P(1,1)P(1, 1)P(1,1) and Q(8,8)Q(8, 8)Q(8,8) lie on the circle CCC, so that PQ PQ\,PQ is a chord of CCC.
The centre of C C\,C lies on the line with equation y=x+1y = x + 1y=x+1.
Find an equation for CCC.