Jagat Singh

In this course we will discuss the following topics
introduction to iota, 
standard form of complex number, 
algebra of complex numbers, 
argument and modulus and amplitude of complex numbers.
rotation of complex numbers.
cube root of unity.
Nth roots of unity.
Locus problems. 
problems asked in IIT JEE exams in previous years

IIT JEE 2020 and 2021 Main and Advanced exam preparation. Know about detailed syllabus, best books, exam pattern and dates. Cover previous year question papers and book solutions from great educators.

IIT JEE

JEE Main and Advanced Preparation

English

Complex Numbers for IIT JEE

Complex Numbers

Algebra

Mathematics

IITJEE, NEET UG and Foundation

Ace the toughest competitive and government exams in India 

Test Preparation

Course Overview

Complex numbers , origin of iota and solution of a quadratic equation with negative value of its dicriminant

Introduction to Iota (i)

Positive integral powers of iota and general value for integral value of iota. Some solved problems on powers of iota. Multiplication of square root terms depending on whether they are positive or negative

Integral Powers of Iota (i)

Complex numbers, standard form of complex numbers, purely real , purely imaginary and imaginary numbers. How to convert a complex number in its standard form.

Standard Form of Complex Number

Algebra of complex numbers, addition, subtraction, multiplication and division of complex numbers. Equality of complex numbers. Inequalities in complex numbers. Division algorithm.

Algebra of complex numbers

Conjugate of a complex number and its propertues. Geometrical meaning of conjugate of complex numbers. Standard form of complex numbers. Some solved problems from BOARD level and IIT-JEE level

Conjugate of Complex Numbers

Modulus of a complex number and its geometrical meaning.
Modulus of zero complex number.
Properties of complex numbers and triangle inequality. Problems on locus of complex numbers and its geometrical interpretation

Modulus of Complex Numbers: Part 1

Modulus of a complex number and its geometrical meaning, problems based on properties of modulus of a complex number

Modulus of Complex Numbers: Part 2

Argument and amplitude of a complex number
Determination of complex number by given magnitude and argument. Principal argument and general arguments

Argument and Amplitude of a Complex Number

Polar form of a complex number, acute angle alpha and to find amplitude of complex numbers. Properties of polar form of CiS

Polar Form of Complex Number

Polar form and exponential form of a complex number. Conversion and application with solved examples

Exponential Form of Complex Numbers

Roots of quadratic equation, when middle term is missing, middle term is present and coefficients are real. Then square root of a complex number and quadratic equations with imaginary coefficients

Root of Quadratic and nature of roots

Logarithm of a complex number, principal and general values of Logarithm, logarithm of a negative real number, standard form converion of a complex number having its power another complex number

Logarithm of complex numbers

Intercept locus of complex numbers. Geometrical and mathematical expressions. Inequality and equality cases. With solved previous year questions

Intercept locus of complex numbers

Cube root of unity, complex roots of unity, question asked in IIT-JEE Exams on cube root of unity

Cube roots of unity

Nth roots of unity and geometrical meaning,  properties of nth roots of unity, sum of nth roots of unity, product of nth roots of unity

Nth roots of unity

Rotation of a complex number and some proofs on equilageral triangle and right isoscles triangle by rotation of complex numbers

Rotation of complex numbers

De moivres theorrm and solution for trignometric equations. Trigonometry with complex numbers

De moivre's theorem

E Complex Numbers

An IIT-Delhi alumnus, mentor to top AIRs like 12 & 24, a specialist in Calculus, former faculty at Bansal Classes, Vibrant Academy & Etoos.

Manoj Chauhan

In this course, the educator is discussing concept involving mattresses chapter would be dealt with, with full illustrations and more methods you will get a clear inside about all the questions which are similar to those asked in IIT JEE mains and advanced exam

(Hindi) Matrices by Manoj Chauhan for IIT JEE Main and Advance

20+ years of Experience in Teaching Mathematics. Mentored 50,000+ students. Produced 100/100 score in Maths.


Vishal Mahajan

In this course, the educator is discussing Complex Numbers & Quadratic Equations for IIT JEE & CLASS 11

(Hindi) IIT JEE: Complex Numbers and Quadratic Equations

IIT Bombay | Taught AIR 1, 6, 20*in JEE Advanced | Taught AIR 28 (AIIMS Delhi) | Tutored INCHO AIR 60 | Mentored multiple 100 percentiles.

Sachin Rana

This course deals with all the important concepts and questions in the chapter Complex Numbers for JEE Main, JEE Advanced, BITSAT, CET and all state engineering exams.

A game-changer in Mathematics, produced 100 percentilers multiple times, AIR 33 & 34 (Mains 2024), his courses are the Benchmark for IIT JEE

Vineet Loomba

This course comprehensively covers the complete syllabus of Complex Numbers for JEE Main and Advanced, BITSAT, VIT, CBSE and other regional Engineering Entrance Exams

(Hindi) Complex Numbers (Detailed Course)

This Course deals with complex numbers, algebra of complex numbers. This Course is beneficial for IIT JEE aspirants.

(Hindi) Complex Numbers: IIT JEE

This course is the continuation of the Quadratic Equations(Part I). So, kindly make sure that you've watched the whole Part I before watching this course.

Lessons

19 lessons • 3h 53m

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Course Overview

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Introduction to Iota (i)

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Integral Powers of Iota (i)

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Standard Form of Complex Number

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Algebra of complex numbers

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Conjugate of Complex Numbers

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Modulus of Complex Numbers: Part 1

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Modulus of Complex Numbers: Part 2

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Argument and Amplitude of a Complex Number

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Polar Form of Complex Number

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