ABCD ABCD\,ABCD is a trapezium with point A(−2,5)A(-2, 5)A(−2,5), point B(4,2)B(4, 2)B(4,2) and point C(6,−4)C(6, -4)C(6,−4).
AB AB\,AB is parallel to DCDCDC
AB AB\,AB is perpendicular to ADADAD
Find the equation of CDCDCD
Find the coordinates of DDD.
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.