jee_main_2025_04_april_evening - Complex Numbers Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #55 Properties of Complex Numbers
Let the product of ω₁ = (8 + i) θ + (7 + 4 i) θ and ω₂ = (1 + 8 i) θ + (4 + 7 i) θ be α +iβ, i = √(-1). Let p and q be the maximum and the minimum values of α +β respectively.
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QUESTION #71 Cube Roots of Unity
If α is a root of the equation x² + x + 1 = 0 and Σk=1ⁿ(αk + 1αk)² = 20, then n is equal to
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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