The points DDD, E E\,E and F F\,F have coordinates (−3,2)(-3, 2)(−3,2), (4,−1)(4, -1)(4,−1) and (1,−8)(1, -8)(1,−8) 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 an equation for CCC.
143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.