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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%)

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 #6 Modulus and Argument of a Complex Number
Let r and theta respectively be the modulus and amplitude of the complex number z = 2 - i left(2 tan frac5 pi8right), then (r, theta) is equal to
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QUESTION #21 Roots of Quadratic Equations
Let alpha, beta be the roots of the equation x^2 - sqrt6 x + 3 = 0 such that operatornameIm(alpha) > operatornameIm(beta). Let a, b be integers not divisible by 3 and n be a natural number such that fracalpha^99beta + alpha^98 = 3^n (a + ib), i = sqrt-1. Then n + a + b is equal to
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QUESTION #29 Integral Solutions
Let the set C = left\(x,y)mid x^2 -2^y = 2023, x,yin mathbbNright\. Then sum_(x,y)in C(x + y) is equal to
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