OCR MEI Further Pure Core Specimen — Question 2

Exam BoardOCR MEI
ModuleFurther Pure Core (Further Pure Core)
SessionSpecimen
TopicComplex Numbers Argand & Loci
2
  1. On an Argand diagram draw the locus of points which satisfy \(\arg ( z - 4 \mathrm { i } ) = \frac { \pi } { 4 }\).
  2. Give, in complex form, the equation of the circle which has centre at \(6 + 4 \mathrm { i }\) and touches the locus in part (i).
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