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.
306 exam-style questions on CCEA A Level Maths 1.1 Algebra and functions, covering 1.1.1 Algebra and functions, 1.1.2 Algebra and functions, 1.1.3 Algebra and functions, 1.1.4 Algebra and functions, 1.1.5 Algebra and functions, 1.1.6 Algebra and functions, 1.1.7 Algebra and functions, 1.1.8 Algebra and functions, 1.1.9 Algebra and functions, 1.1.10 Algebra and functions, 1.1.11 Algebra and functions, 1.1.12 Algebra and functions, 1.1.13 Algebra and functions, and 1.1.14 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.