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​Q27: Question – Paper 3 – November 2018

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Content:

•  Quadratic Simultaneous Equations: Substitution Method​

Quizzes:

• Quadratic Simultaneous Equations

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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]​​
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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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