A circle C C\,C with radius 5 passes through (0,0)(0, 0)(0,0) and (0,6)(0, 6)(0,6).
Find the yyy-coordinate of the centres of the two possible circles.
Sketch the two possible positions of CCC.
Find the equations of the two circles.
292 exam-style questions on Edexcel A Level Maths Circles, covering 6.1 Midpoints and Perpendicular Bisectors, 6.2 Equation of a Circle, 6.3 Intersections of Straight Lines and Circles, 6.4 Use Tangent and Chord Properties, and 6.5 Circles and Triangles. Each one has a worked solution and a mark scheme showing where the marks go.