OCR FP1 2010 January — Question 8

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2010
SessionJanuary
TopicComplex Numbers Arithmetic
TypeSquare roots with follow-up application
8 The complex number \(a\) is such that \(a ^ { 2 } = 5 - 12 \mathrm { i }\).
  1. Use an algebraic method to find the two possible values of \(a\).
  2. Sketch on a single Argand diagram the two possible loci given by \(| z - a | = | a |\).
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