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Back to AQA Maths Higher November 2018 Paper 3 Home
​Q27: Question – Paper 3 – November 2018
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Content:
  •  Quadratic Simultaneous Equations: Substitution Method​
Quizzes:
  • Quadratic Simultaneous Equations

Question

27) The line    y = 3x + p    and the circle    x2 + y2 = 53    intersect at points A and B. p is a positive integer.

 

27 a) Show that the x-coordinates of points A and B satisfy the equation

      10x2 + 6px + p2 – 53 = 0

[3 marks]​​
​
27 b) The coordinates of A are (2, 7)

Work out the coordinates of B.
You must show your working.
[5 marks]​​​
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