Complex Numbers
Mathematics — topic guides, questions, and exam chapters with this tag
Topic guide
Complex Numbers — Argument, Modulus & Polar Form for Class 11
Real and imaginary parts, conjugate, modulus, argument, polar form. Euler's form. NCERT Class 11 Chapter 5 with JEE-level problems.
Solved questions
Argument of complex number (3+4i)/(1-2i) — convert to polar form
JEE Main 2023
If |z-1|=|z+1| find the locus of z
Find cube roots of unity and plot on Argand plane
What is i^47? — Powers of i and the Cycle of Four
NCERT Class 11 Chapter 5
Express (2 + 3i)/(1 - 2i) in a + ib Form — Complex Division
NCERT Class 11 Chapter 5
Find the Modulus and Argument of 1 + i — Complex Number Basics
NCERT Class 11 Chapter 5
Complex number operations — addition to De Moivre's theorem progression
Complex number operations — addition to De Moivre's theorem progression
If z = 2 + 3i, Find z̄ and |z|
NCERT Class 11
De Moivre's theorem — find cube roots of unity and plot on Argand plane
JEE Main 2022
Find nth roots of unity and prove they form vertices of a regular polygon
JEE Advanced 2020
If z = (1+i)/(1-i), find |z| and arg(z)
JEE Main 2022