The curve C C\,C has the equation y=x2−5x+9y = x^2 - 5x + 9y=x2−5x+9 The line L L\,L has the equation x+y=9x + y = 9x+y=9 Find the coordinates of the points where L L\,L and C C\,C intersect.
Hence find an equation of the perpendicular bisector of the chord of C C\,C cut off by LLL.
206 exam-style questions on Edexcel A Level Maths Equations and Inequalities, covering 3.1 Linear Simultaneous Equations, 3.2 Quadratic Simultaneous Equations, 3.3 Simultaneous Equations on Graphs, 3.4 Linear Inequalities, 3.5 Quadratic Inequalities, and 3.6 Inequalities on Graphs. Each one has a worked solution and a mark scheme showing where the marks go.