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Complex Numbers and Quadratic Equations
JEE Advanced · Mathematics · 46 past questions
Topic
Geometry of complex numbers: loci
13
Quadratic equations: roots and relations
8
Roots of unity and cube roots of unity
6
Matching and set-based comprehension problems
5
Polynomial equations in z
5
Modulus, argument and conjugate
3
Real roots of polynomial and modulus equations
3
Rotation, walks and transformations in the Argand plane
2
NEW: Equation mixing z, conjugate and modulus: solutions
1
Level
Easy
0
Moderate
2
Tough
1
Year
2026
0
2025
0
2024
0
2023
0
2022
1
2021
1
2020
0
2019
0
2018
1
2017
0
2016
0
2015
0
2014
0
2013
0
2012
0
2011
0
2010
0
2009
0
2008
0
2007
0
3 of 46 ·
show all
Q10
2022 Paper 2
Let $\bar{z}$ denote the complex conjugate of a complex number $z$. If $z$ is a non-zero complex number for…
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Q11
2021 Paper 1
Let $\theta_1, \theta_2, \ldots, \theta_{10}$ be positive valued angles (in radian) such that…
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Q19
2018 Paper 1
For a non-zero complex number $z$, let $\arg(z)$ denote the principal argument with $-\pi < \arg(z) \le \pi$.…
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