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8 marksAlgebraic Operations

CAPE Pure Mathematics Unit 1 · May/June 2002 · Paper 2 · Question 4(a)

Find the two square roots of the complex number 5 - 12i in the form x + yi, where x, y ∈ R.

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Other parts of this question

  1. 4(b)(i)If z = x + yi, where x, y ∈ R, y ≠ 0, find the real and imaginary parts of z + 1/z.[5 marks]
  2. 4(b)(ii)Find and identify the locus of the points for which the imaginary part of z + 1/z is zero.[5 marks]
  3. 4(c)(i)Find |AB|.[4 marks]
  4. 4(c)(ii)Find the position vector of the mid-point of AB.[3 marks]

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