The curve C C\,C has equation y=px2−4px−5py = px^2 - 4px - 5py=px2−4px−5p where p p\,p is a non-zero constant.
The line l l\,l has equation y=2x−12y = 2x - 12y=2x−12.
Given that C C\,C and l l\,l do not intersect, answer parts (a) and (b).
Show that 9p2−8p+1<09p^2 - 8p + 1 < 09p2−8p+1<0.
Find the set of possible values for ppp.
63 exam-style questions on AQA A Level Maths 1.5.3 Quadratic functions. Each one has a worked solution and a mark scheme showing where the marks go.