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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
1
2022
0
2021
1
2020
0
2019
0
2018
0
2017
0
2016
0
2015
0
2014
0
2013
0
2012
0
2011
1
2010
0
2009
0
2008
0
2007
0
3 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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Q13
2021 Paper 1
For $x \in \mathbb{R}$, the number of real roots of the equation…
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Q35
2011 Paper 2
The number of distinct real roots of $x^4-4x^3+12x^2+x-1=0$ is
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