Argand plane, modulus, argument, polar form, De Moivre's theorem, roots of unity.
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Q1 · Complex Numbers and Quadratic Equations (Class 11 — ~20% weight) · EASY
If z = 3 + 4i, then |z|² equals:
Q2 · Complex Numbers and Quadratic Equations (Class 11 — ~20% weight) · MEDIUM
If z = 1 + i√3, then the argument of z (principal value in radians) is:
Q3 · Complex Numbers and Quadratic Equations (Class 11 — ~20% weight) · MEDIUM
Using De Moivre's theorem, the value of (1 + i)⁸ is:
Q4 · Complex Numbers and Quadratic Equations (Class 11 — ~20% weight) · MEDIUM
The modulus of (3 + 4i)/(1 - 2i), where i = √(-1), is: