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CAPE Pure Mathematics Unit 1 · May/June 2015 · Paper 2 · Question 4(b)

A point P (x, y) moves so that its distance from the fixed point (0, 3) is two times the distance from the fixed point (5, 2).

Show that the equation of the locus of the point P (x, y) is a circle.

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Other parts of this question

  1. 4(a)(i)Determine the Cartesian equations of C₁ and C₂ in the form (x – a)² + (y – b)² = r².[4 marks]
  2. 4(a)(ii)Hence or otherwise, find the points of intersection of C₁ and C₂.[9 marks]

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