jee_main_2026_28_january_morning - Complex Numbers and Quadratic Equations Topics

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Sample Questions in this Chapter

QUESTION #5 Geometry of Complex Numbers
Let z be a complex number such that |z - 6| = 5 and |z + 2 - 6i| = 5. Then the value of z³ + 3z² - 15z + 141 is equal to
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QUESTION #10 Nature of Roots
If α, β, where α < β, are the roots of the equation λ x² - (λ + 3)x + 3 = 0 such that (1)/(α) - (1)/(β) = (1)/(3), then the sum of all possible values of λ is:
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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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