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1 Unit 1: Pure Mathematics A

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Question 130

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]
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1 Unit 1: Pure Mathematics A Questions

  1. A Level
  2. /Maths
  3. /1 Unit 1: Pure Mathematics A

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