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Complex Numbers and Quadratic Equations
JEE Advanced · Mathematics · 46 past questions
Topic
Geometry of complex numbers: loci
9
Quadratic equations: roots and relations
6
Roots of unity and cube roots of unity
6
Matching and set-based comprehension problems
4
Polynomial equations in z
4
Modulus, argument and conjugate
2
Real roots of polynomial and modulus equations
2
NEW: Equation mixing z, conjugate and modulus: solutions
1
Rotation, walks and transformations in the Argand plane
0
Level
Easy
0
Moderate
4
Tough
1
Year
2026
0
2025
0
2024
1
2023
0
2022
2
2021
0
2020
1
2019
0
2018
0
2017
0
2016
0
2015
0
2014
0
2013
0
2012
0
2011
0
2010
0
2009
0
2008
0
2007
0
4 of 46 ·
show all
Q5
2024 Paper 1
Let $f(x) = x^4 + ax^3 + bx^2 + c$ be a polynomial with real coefficients such that $f(1) = -9$. Suppose that…
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Q8
2022 Paper 1
Let $z$ be a complex number with non-zero imaginary part. If…
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Q9
2022 Paper 1
Let $\bar z$ denote the complex conjugate of a complex number $z$ and let $i=\sqrt{-1}$. In the set of…
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Q16
2020 Paper 2
For a complex number $z$, let Re($z$) denote the real part of $z$. Let $S$ be the set of all complex numbers…
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