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 OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.