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 the equation of the circle CCC.
Practise AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane with exam-style questions for A Level Maths. 110 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.