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−15y=2x-15y=2x−15.
Show that 9p2−11p+1<09p^2-11p+1<09p2−11p+1<0.
Find the set of possible values for ppp.
49 exam-style questions on Edexcel A Level Maths 2.4 The Discriminant. Each one has a worked solution and a mark scheme showing where the marks go.