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.
143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.