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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 55

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).

a.

Show that 9p2−8p+1<09p^2 - 8p + 1 < 09p2−8p+1<0.

[5]
b.

Find the set of possible values for ppp.

[3]
Markscheme

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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