Metadata
Mathematics Any Level Understand Medium
Metadata
  • Subject

    Mathematics

  • Education level

    Any Level

  • Cognitive goals

    Understand

  • Difficulty estimate

    Medium

  • Tags

    complex numbers, complex plane, polar form, rotation and scaling, geometric loci

  • Number of questions

    5

  • Created on

  • Generation source

    Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • Prompt

    Assess students' understanding of the geometric interpretation of complex numbers in the complex plane, including plotting points, modulus and argument, conversion between rectangular and polar forms, and the geometric effects of operations: addition (vector translation), multiplication/division (rotation and scaling via polar form), conjugation (reflection), and powers/roots (De Moivre). Expect sketches, locus descriptions, and short geometric justifications.
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.