All mind maps topics

1.12 Complex numbers: Cartesian formIB Maths: Applications and Interpretation HL: Mind map

What this mind map covers

  • Basics
  • Conjugate, modulus, argument
  • Arithmetic
  • Argand diagram
  • Quadratics

Exam questions on 1.12 Complex numbers: Cartesian form

  1. Let z=3+4iz=3+4i and w=1−2iw=1-2i.
    Find zw\frac{z}{w}, giving your answer in the form a+bia+bi.2 marks
  2. Let u=2−3iu=2-3i and v=4+iv=4+i.
    Use your GDC to find u4u^{4}.2 marks
  3. Consider the quadratic equation x2−6x+25=0x^{2}-6x+25=0.
    Show that the equation has no real solutions.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).