The points DDD, E E\,E and F F\,F have coordinates (−5,2)(-5, 2)(−5,2), (2,−3)(2, -3)(2,−3) and (−3,−10)(-3, -10)(−3,−10) respectively.
Show that angle DEF DEF\,DEF is a right angle.
Given that DDD, E E\,E and F F\,F all lie on the circle CCC, find the coordinates of the centre of CCC.
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.