The curve with equation y=px2+2px−3py = px^2 + 2px - 3py=px2+2px−3p, where p p\,p is a constant, does not intersect the line with equation y=4x−10y = 4x - 10y=4x−10.
Show that 2p2−7p+2<02p^2 - 7p + 2 < 02p2−7p+2<0
Find the set of possible values for ppp.
44 exam-style questions on Edexcel AS 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.