The circle C C\,C has centre (2,5)(2, 5)(2,5) and radius 7.
Find an equation for CCC.
The line y=3x−1y = 3x - 1y=3x−1 intersects C C\,C at the points A A\,A and BBB. Find the exact coordinates of A A\,A and BBB.
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.