The circle C C\,C has centre (−2,1)(-2, 1)(−2,1) and passes through the point (3,13)(3, 13)(3,13).
Find an equation for CCC.
Show that the point (10,6)(10, 6)(10,6) lies on CCC.
Write down the length of the longest chord of 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.