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 OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.