jee_main_2024_29_january_evening - Complex Numbers and Quadratic Equations Topics

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

Sample Questions in this Chapter

QUESTION #0 Modulus and Argument of a Complex Number
Let r and θ respectively be the modulus and amplitude of the complex number z = 2 - i (2 (5 π)/(8)), then (r, θ) is equal to
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QUESTION #21 Roots of Quadratic Equations
Let α, β be the roots of the equation x² - √(6) x + 3 = 0 such that Im(α) > Im(β). Let a, b be integers not divisible by 3 and n be a natural number such that α⁹⁹β + α⁹⁸ = 3ⁿ (a + ib), i = √(-1). Then n + a + b is equal to
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QUESTION #29 Integral Solutions
Let the set C = (x,y) x² -2y = 2023, x,yin N. Then Σ(x,y)in C(x + y) is equal to
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Rankbit System
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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