Metadata
Mathematics Any Level Understand Medium-
Subject
Mathematics
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Education level
Any Level
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Cognitive goals
Understand
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Difficulty estimate
Medium
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Tags
complex numbers, complex plane, polar form, rotation and scaling, geometric loci
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Number of questions
5
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Created on
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Generation source
Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini
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License
CC0 Public domain
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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.
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.