The points A A\,A and B B\,B have coordinates (−2,4)(-2, 4)(−2,4) and (4,−1)(4, -1)(4,−1) respectively. Given that AB AB\,AB is a diameter of the circle CCC.
Find the coordinates of the centre of CCC.
Hence find an equation for CCC.
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.