JEE Main Algebra Crash Course
Complete JEE Main Algebra Mastery
Complete Algebra preparation for JEE Main 2025. Covers Complex Numbers, Quadratic Equations, Sequences & Series, Permutations & Combinations, Binomial Theorem, and Matrices & Determinants with comprehensive theory, formulas, and JEE-specific problem patterns.
Start LearningWhat you'll learn
- complex numbers
- quadratic equations
- sequences series
- permutations combinations
- binomial theorem
- matrices determinants
Course Syllabus
Complex Numbers
Master complex numbers from basics to advanced applications including De Moivre's theorem, roots of unity, and locus problems in Argand plane.
6 lessons
~300 min
Basics of Complex Numbers and Algebra
4 steps · 20 min
Modulus, Argument and Polar Representation
4 steps · 20 min
De Moivre's Theorem and Roots of Unity
4 steps · 20 min
Locus and Geometry in Argand Plane
4 steps · 20 min
Cube Roots and nth Roots of Unity
4 steps · 20 min
Applications and Advanced Problems
4 steps · 20 min
PYQ Revision Quiz
15 JEE questions · 70% to pass
Quadratic Equations and Theory of Equations
Master quadratic equations, nature of roots, relations between roots and coefficients, location of roots, and advanced problems on theory of equations.
6 lessons
~240 min
Basics and Methods of Solving Quadratic Equations
4 steps · 20 min
Nature of Roots and Advanced Conditions
4 steps · 20 min
Location of Roots and Sign Analysis
4 steps · 20 min
Theory of Equations and Advanced Topics
4 steps · 20 min
Symmetric Functions and Polynomial Equations
4 steps · 20 min
Equations Reducible to Quadratic and Common Roots
4 steps · 20 min
PYQ Revision Quiz
15 JEE questions · 70% to pass
Sequences and Series
Master arithmetic and geometric progressions, special series, AM-GM-HM relationships, and advanced summation techniques.
5 lessons
~240 min
Arithmetic Progression (AP)
4 steps · 20 min
Geometric Progression (GP)
4 steps · 20 min
AM-GM-HM and Special Series
4 steps · 20 min
Method of Differences and Summation Techniques
4 steps · 20 min
Harmonic Progression and Advanced Applications
4 steps · 20 min
PYQ Revision Quiz
15 JEE questions · 70% to pass
Permutations and Combinations
Master counting principles, permutations, combinations, circular permutations, derangements, and advanced distribution problems.
5 lessons
~240 min
Fundamental Principles and Factorials
4 steps · 20 min
Permutations - Linear and Circular
4 steps · 20 min
Combinations and Selection Problems
4 steps · 20 min
Advanced Applications and Distribution
4 steps · 20 min
Multinomial Theorem and Advanced Counting
4 steps · 20 min
PYQ Revision Quiz
15 JEE questions · 70% to pass
Binomial Theorem
Master binomial expansion, Pascal's triangle, middle and greatest terms, properties of coefficients, multinomial theorem, and applications.
5 lessons
~240 min
Binomial Expression and Expansion Using Pascal's Triangle
4 steps · 20 min
General Term, Middle Term and Greatest Term
4 steps · 20 min
Properties of Binomial Coefficients
4 steps · 20 min
Multinomial Theorem and Multiplication
4 steps · 20 min
Divisibility, Approximations and Applications
4 steps · 20 min
PYQ Revision Quiz
15 JEE questions · 70% to pass
Matrices and Determinants
Master matrix operations, types, determinants, properties, adjoint, inverse, rank, Cayley-Hamilton theorem, and applications to solving systems of linear equations.
6 lessons
~300 min
Types of Matrices and Basic Operations
4 steps · 20 min
Special Matrices and Symmetric Properties
4 steps · 20 min
Determinants: Evaluation and Properties
4 steps · 20 min
Adjoint, Inverse and Matrix Polynomial
4 steps · 20 min
System of Linear Equations
4 steps · 20 min
Rank, Echelon Form and Applications
4 steps · 20 min
PYQ Revision Quiz
15 JEE questions · 70% to pass