This book has been designed to provide students with intensive as well as extensive practice of the questions and problems they will encounter in the JEE Mathematics exams. The aim of this book is to improve and enhance the aptitude, proficiency and problem-solving ability of students in Mathematics to enable them to crown their endeavours with success.

*Salient features:*

- Key concepts at the beginning of every chapter to summarise the important principles
- Key equations and formulas presented for every topic
- Detailed, step-by-step solutions to all questions and problems
- Lavish use of figures to illustrate concepts and problems
- Appendices with previous years’ JEE Main and Advanced solved questions
- Android app with practice problems and solutions to the latest JEE Mathematics paper
- Video lectures available at: www.universitiespress.com/jeemaths

**Pratyush Kumar Singh** obtained his B.Tech. in Civil Engineering from IIT Kanpur. He is the founder of an IIT coaching centre in Ranchi, has been teaching Mathematics and Physics for more than 25 years and has also authored several books on these subjects. His dedication and knowledge have helped more than 5000 students achieve their dreams.

*Preface**Acknowledgements*

PART I: ALGEBRA

Chapter 1: Theory of Equations

Chapter 2: Quadratic Equations

Chapter 3: Sequences and Series

Chapter 4: Binomial Theorem

Chapter 5: Complex Numbers

Chapter 6: Permutations and Combinations

Chapter 7: Probability

Chapter 8: Matrices

Chapter 9: Vector Algebra

PART II: CALCULUS

Chapter 10: Algebraic Functions

Chapter 11: Trigonometric Functions

Chapter 12: Trigonometric Equations

Chapter 13: Solution of Triangles

Chapter 14: Inverse Trigonometric Functions

Chapter 15: Exponential and Log Functions

Chapter 16: Limits and Continuity

Chapter 17: Investigating Functions

Chapter 18: Differentiation

Chapter 19: Application of Derivatives

Chapter 20: Indefinite Integration

Chapter 21: Definite Integration

Chapter 22: Differentiation of an Integral

Chapter 23: Area Between Curves

Chapter 24: Sum of a Series and Definite Integral

Chapter 25: Differential Equations

PART III: COORDINATE GEOMETRY

Chapter 26: Straight Line

Chapter 27: Circle

Chapter 28: Parabola

Chapter 29: Ellipse

Chapter 30: Hyperbola

Chapter 31: 3D Geometry

Appendix I: Previous Years’ JEE Main Questions and Solutions

Appendix II: Previous Years’ JEE Advanced Questions and Solutions