A circle C C\,C with radius kkk, where k>4k>4k>4, passes through (0,0)(0, 0)(0,0) and (0,8)(0, 8)(0,8).
Sketch the two possible positions of CCC.
Find, in terms of kkk, 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.