ConceptGeometry & Algebra
← All conceptsComplex numbers
7 ways this goes wrong. Each one is a named misconception the questions are built to catch.
- Modulus without square rootAdds real and imaginary parts (or skips the square root) instead of √a2+b2.→
- Polar power modulus not raisedRaises only the angle, forgetting the modulus is also raised to the power (De Moivre).→
- Radius not subtracted in min distanceComputes distance to the center but forgets to subtract the circle radius.→
- Real parameter treated complexTreats a real parameter λ as complex, giving the wrong locus/line.→
- Reflection negates wrong partNegates the real part instead of the imaginary part when reflecting across the real axis.→
- Rotation factor i vs -iUses the wrong rotation factor (i vs -i) for clockwise vs counterclockwise rotation.→
- |a+b| split as |a|+|b|Treats the modulus of a sum as the sum of moduli.→
