The circle C C\,C has centre (−2,3)(-2, 3)(−2,3) and passes through the point (1,8)(1, 8)(1,8).
Find an equation for CCC.
Show that the point (3,6)(3, 6)(3,6) lies on CCC.
The point (3,6)(3, 6)(3,6) is one end of a diameter of CCC. State the coordinates of the other end of that diameter.
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.