Skip to content

Sign in Sign up free

JEE Main Complex Numbers questions with solutions

Algebra, modulus, argument and geometry of complex numbers. 10 questions from our 2016–2025 JEE Main pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.

Also practise: Complex Numbers for JEE Advanced · Complex Numbers for NDA

JEE Main 2025

If z is a complex number with |z-2-3i|=3, then the greatest possible value of |z+2| isJEE Main 2025 · medium

JEE Main 2024

The principal argument of z=((1+i)^8/((1-i)^6 isJEE Main 2024 · medium

JEE Main 2023

If the area of the triangle whose vertices are the complex numbers z, iz and z+iz is 50 square units, then |z| equalsJEE Main 2023 · medium

JEE Main 2022

The value of ((1+i)/(1-i))^2022 isJEE Main 2022 · easy

JEE Main 2021

The least positive integer n for which ((√3+i)/(√3-i))^n=1 isJEE Main 2021 · easy
If z is a complex number with |z-3-4i|≤2, then the maximum value of |z|^2 isJEE Main 2021 · medium

JEE Main 2018

If z is a complex number satisfying |z-3+4i|=2, then the difference between the greatest and the least values of |z|^2 isJEE Main 2018 · medium

JEE Main 2017

The value of ((1+i)^8/((1-i)^6 isJEE Main 2017 · medium
If ω≠1 is a root of z^2+z+1=0, then ω^2017+(1)/(ω^2017) equalsJEE Main 2017 · easy

JEE Main 2016

The number of complex numbers z satisfying z^3=bar z isJEE Main 2016 · hard

Other Mathematics topics

Area Under Curves 7 Binomial Theorem 12 Conic Sections 5 Differential Equations 9 Differentiation and Application of Derivatives 19 Indefinite and Definite Integrals 16 Limits 9 Matrices and Determinants 19 Permutations and Combinations 10 Probability 9 Quadratic Equations 9 Sequences and Series 9 Sets, Relations and Functions 10 Statistics 6 Straight Lines and Circles 9 Three Dimensional Geometry 14 Trigonometry and Inverse Trigonometric Functions 9 Vector Algebra 8