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Complex Numbers and Quadratic Equations
JEE Advanced · Mathematics · 46 past questions
Topic
Polynomial equations in z
1
Real roots of polynomial and modulus equations
1
Geometry of complex numbers: loci
0
Matching and set-based comprehension problems
0
Modulus, argument and conjugate
0
NEW: Equation mixing z, conjugate and modulus: solutions
0
Quadratic equations: roots and relations
0
Roots of unity and cube roots of unity
0
Rotation, walks and transformations in the Argand plane
0
Level
Easy
0
Moderate
0
Tough
2
Year
2026
1
2025
0
2024
0
2023
2
2022
1
2021
1
2020
1
2019
0
2018
0
2017
0
2016
0
2015
0
2014
0
2013
1
2012
0
2011
0
2010
0
2009
0
2008
0
2007
0
2 of 46 ·
show all
Q6
2023 Paper 1
Let $A=\left\{\frac{1967+1686i\sin\theta}{7-3i\cos\theta}:\theta\in\mathbb{R}\right\}$. If $A$ contains…
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Q7
2023 Paper 1
Let $z$ be a complex number satisfying $|z|^3+2z^2+4\bar z-8=0$, where $\bar z$ denotes the complex conjugate…
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