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Complex Numbers and Quadratic Equations
JEE Advanced · Mathematics · 46 past questions
Topic
Roots of unity and cube roots of unity
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
Polynomial equations in z
0
Quadratic equations: roots and relations
0
Real roots of polynomial and modulus equations
0
Rotation, walks and transformations in the Argand plane
0
Level
Easy
0
Moderate
1
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
1 of 46 ·
show all
Q26
2014 Paper 2
Let $z_k = \cos\left(\frac{2k\pi}{10}\right) + i\sin\left(\frac{2k\pi}{10}\right)$; $k = 1,2,\dots,9$.
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