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(k,−4)C(k, -4)C(k,−4), where 4<k<114<k<114<k<11.
AB AB\,AB is parallel to DCDCDC
AB AB\,AB is perpendicular to ADADAD
Find the equation of CD CD\,CD in terms of kkk.
Find the coordinates of D D\,D in terms of kkk.
260 exam-style questions on Edexcel A Level Maths Straight Line Graphs, covering 5.1 y = mx + c, 5.2 Equations of Straight Lines, 5.3 Parallel and Perpendicular Lines, 5.4 Length and Area, and 5.5 Modelling with Straight Lines. Each one has a worked solution and a mark scheme showing where the marks go.