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1.2 Algebra and Functions

1.2 Algebra and Functions

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Question 40

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

1.2 Algebra and Functions Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebra and Functions

302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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