The curve with equation y=px2−4px−5py = px^2 - 4px - 5py=px2−4px−5p, where p p\,p is a constant does not intersect the line with equation y=2x−12y = 2x - 12y=2x−12.
Show that 9p2−8p+1<09p^2 - 8p + 1 < 09p2−8p+1<0
Find the set of possible values for ppp.
Practise Edexcel AS Level Maths Equations and Inequalities with exam-style questions for AS Level Maths. 15 questions 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, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.