Find the coordinates of the points where the circle C C\,C with equation x2+y2−2x=9x^2 + y^2 - 2x = 9x2+y2−2x=9 meets the line L L\,L with equation y=2x−1y = 2x - 1y=2x−1
Hence find the coordinates of the midpoint 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.