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Complex Numbers and Quadratic Equations
JEE Advanced · Mathematics · 46 past questions
Topic
Geometry of complex numbers: loci
1
Quadratic equations: roots and relations
1
Matching and set-based comprehension problems
0
Modulus, argument and conjugate
0
NEW: Equation mixing z, conjugate and modulus: solutions
0
Polynomial equations in z
0
Real roots of polynomial and modulus equations
0
Roots of unity and cube roots of unity
0
Rotation, walks and transformations in the Argand plane
0
Level
Easy
1
Moderate
2
Tough
0
Year
2026
1
2025
2
2024
1
2023
0
2022
2
2021
2
2020
2
2019
2
2018
2
2017
2
2016
1
2015
1
2014
1
2013
3
2012
1
2011
2
2010
2
2009
2
2008
3
2007
2
2 of 46 ·
show all
Q44
2007 Paper 1
Let $\alpha$, $\beta$ be the roots of the equation $x^2 - px + r = 0$ and $\dfrac{\alpha}{2}$, $2\beta$ be…
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Q46
2007 Paper 2
If $|z| = 1$ and $z \neq \pm 1$, then all the values of $\dfrac{z}{1-z^2}$ lie on
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