A circle C C\,C with radius 5 passes through the points (0,0)(0, 0)(0,0) and (0,8)(0, 8)(0,8).
Sketch the two possible positions of CCC.
Find the equations of the two circles.
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.