The points DDD, E E\,E and F F\,F have coordinates (−4,6)(-4, 6)(−4,6), (1,3)(1, 3)(1,3) and (−2,−2)(-2, -2)(−2,−2) respectively.
The points DDD, E E\,E and F F\,F all lie on the circle CCC. The centre of C C\,C is (−3,2)(-3, 2)(−3,2).
Find the equation of the circle 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.