The points AAA, B B\,B and C C\,C have coordinates (−2,1)(-2, 1)(−2,1), (6,5)(6, 5)(6,5) and (8,1)(8, 1)(8,1) respectively.
Show that AB AB\,AB is perpendicular to BCBCBC.
Hence find the area of triangle ABCABCABC.
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.