1.Algebra Booster

Preface
ALGEBRA BOOSTER with Problems & Solutions for JEE Main and Advanced is meant for aspirants preparing for the entrance
examinations of different technical institutions, especially NIT/IIT/BITSAT/IISc. In writing this book, I have drawn heavily
from my long experience of teaching at National Level Institutes. After many years of teaching, I have realised the need of designing
a book that will help the readers to build their base, improve their level of mathematical concepts and enjoy the subject.
This book is designed keeping in view the new pattern of questions asked in JEE Main and Advanced Exams. It has eight
chapters. Each chapter has the concept booster followed by a large number of exercises with the exact solutions to the problems
as given below:
Level - I
: Questions based on Fundamentals
Level - II
: Mixed Problems (Objective Type Questions)
Level - III
: Problems for JEE Advanced Exam
Level - IV
: Tougher problems for JEE Advanced Exams
(0.......9) : Integer type Questions
Passages
: Comprehensive link passages
Matching
: Matrix Match
Reasoning
: Assertion and Reasoning
Previous years’ papers : Questions asked in past IIT-JEE Exams
Remember friends, no problem in mathematics is difficult. Once you understand the concept, they will become easy. So
please don’t jump to exercise problems before you go through the Concept Booster and the Objectives. Once you are confident
in the theory part, attempt the exercises. The exercise problems are arranged in a manner that they gradually require advanced
thinking.
I hope this book will help you to build your base, enjoy the subject and improve your confidence to tackle any type of problem
easily and skilfully.
My special thanks goes to Mr. M.P. Singh (IISc Bangalore), Mr. Manoj Kumar (IIT, Delhi), Mr. Nazre Hussain (B. Tech.),
Dr. Syed Kashan Ali (MBBS) and Mr. Shahid Iqbal, who have helped, inspired and motivated me to accomplish this task. As
a matter of fact, teaching being the best learning process, I must thank all my students who inspired me most for writing this
book.
I would like to convey my affectionate thanks to my wife, who helped me immensely and my children who bore with
patience my neglect during the period I remained devoted to this book.
I also convey my sincere thanks to Mr. Biswajit Das of McGraw Hill Education for publishing this book in such a beautiful
format.