A Complete Resource Book in Mathematics for JEE Main 2019

1371 Pages·2018·40.191 MB·English

by  Dinesh Khattar

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A Complete Resource Book in
MatheMatics
JEE Main 2019

for
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A Complete Resource Book in
MatheMatics
JEE Main 2019

for
Dr Dinesh Khattar
Kirori Mal College, University of Delhi
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The aim of this publication is to supply information taken from sources believed to be valid and reliable. This is not an
attempt to render any type of professional advice or analysis, nor is it to be treated as such. While much care has been
taken to ensure the veracity and currency of the information presented within, neither the publisher nor its authors bear
any responsibility for any damage arising from inadvertent omissions, negligence or inaccuracies (typographical or
factual) that may have found their way into this book.
Copyright © 2018 Pearson India Education Services Pvt. Ltd
This book is sold subject to the condition that it shall not, by way of trade or otherwise, be lent, resold, hired out,
or otherwise circulated without the publisher’s prior written consent in any form of binding or cover other than that
in which it is published and without a similar condition including this condition being imposed on the subsequent
purchaser and without limiting the rights under copyright reserved above, no part of this publication may be reproduced,
stored in or introduced into a retrieval system, or transmitted in any form or by any means (electronic, mechanical,
photocopying, recording or otherwise), without the prior written permission of both the copyright owner and the
publisher of this book.
No part of this eBook may be used or reproduced in any manner whatsoever without the publisher’s prior written
consent.
This eBook may or may not include all assets that were part of the print version. The publisher reserves the right
to remove any material in this eBook at
any time.
ISBN 978-93-530-6217-0
eISBN 9789353063436
First Impression
Published by Pearson India Education Services Pvt. Ltd, CIN: U72200TN2005PTC057128.
Head Office: 15th Floor, Tower-B, World Trade Tower, Plot No. 1, Block-C, Sector 16, Noida 201 301,
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Compositor: SRS Global, Puducherry
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Contents
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ix
JEE Mains 2018 Paper                                                   xiii
JEE Mains 2017 Paper                                                   xxv
Chapter 1 Set Theory                                              11–118
Chapter 2 Functions                                               21–260
Chapter 3 Complex Numbers                                          31–368
Chapter 4 Quadratic Equations and Expressions                                41–452
Chapter 5 Matrices                                               51–530
Chapter 6 Determinants                                             61–656
Chapter 7 Permutations and Combinations                                   71–746
Chapter 8 Mathematical Induction                                       81–84
Chapter 9 Binomial Theorem                                          91–946
Chapter 10 Sequence and Series                                      101–1062
Chapter 11 Limits                                               111–1148
Chapter 12 Continuity and Differentiability                                  121–1250
Chapter 13 Differentiation                                          131–1344
Chapter 14 Applications of Derivatives                                    141–1462
Chapter 15 Indefi nite Integration                                       151–1552
Chapter 16 Defi nite Integral and Area                                    161–1686
Chapter 17 Differential Equations                                      171–1748
Chapter 18 Coordinates and Straight Lines                                 181–1854
Chapter 19 Circles                                              191–1956
Chapter 20 Conic Sections (Parabola, Ellipse and Hyperbola)                        201–2062
Chapter 21 Vector Algebra                                          211–2146
Chapter 22 Three Dimensional Geometry                                  221–2236
Chapter 23 Measures of Central Tendency and Dispersion                         231–2324
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viii Contents
Chapter 24 Probability                                            241–2460
Chapter 25 Trigonometric Ratios and Identities                               251–2530
Chapter 26 Trigonometric Equations                                     261–2622
Chapter 27 Inverse Trigonometric Functions                                 271–2736
Chapter 28 Heights and Distances                                      281–2836
Chapter 29 Mathematical Reasoning                                      291–296
Mock Test - I                                                    M11–M18
Mock Test - II                                                   M21–M26
Mock Test - III                                                   M31–M36
Mock Test - IV                                                   M41–M48
Mock Test - V                                                   M51–M58
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Preface
About the Series
A Complete Resource Book for JEE Main series is a must-have resource for students preparing for JEE Main examination.
There are three separate books on Physics, Chemistry, and Mathematics; the main objective of this series is to strengthen
the fundamental concepts and prepare students for various engineering entrance examinations. It provides class-tested
course material and numerical applications that will supplement any ready material available as student resource.
To ensure high level of accuracy and practicality, this series has been authored by highly qualifi ed and experienced
faculties for all three titles.
About the Book
This book, A Complete Resource Book in Mathematics for JEE Main 2019, covers both the text and various types of prob-
lems required as per the syllabus of JEE Main examination. It also explains various short-cut methods and techniques to
solve objective questions in lesser time.
Salient Features
• Complete coverage of topics along with ample number of solved examples.
• Large variety of practice problems with complete solutions.
• Chapter-wise Previous 15 years’ AIEEE/JEE Main questions.
• Fully solved JEE Main 2018 and 2017 questions.
• 5 Mock Tests based on JEE Main pattern in the book.
• 5 Free Online Mock Tests as per the recent JEE Main pattern.
It would have been diffi cult to prepare this book without aid and support from a number of diff erent quarters. I shall be
grateful to the readers for their regular feedback. I am deeply indebted to my parents without whose encouragement this
dream could not have been translated into reality. The cherubic smiles of my daughters, Nikita and Nishita, have inspired
me to treat my work as worship.
Anuj Agarwal from IIT-Delhi, Ankit Katial from National Institute of Technology (Kurukshetra) and Raudrashish
Chakraborty from Kirori Mal College, University of Delhi, with whom I have had fruitful discussions, deserve special
mention.
I earnestly hope that the book will help the students grasp the subject well and respond with a commendable score in
the JEE Main examination. There are a plethora of options available to students for Mathematics, however, ever grateful to
them and to the readers for their candid feedback.
Despite of our best eff orts, some errors may have crept into the book. Constructive comments and suggestions to
further improve the book are welcome and shall be acknowledged gratefully.
Best of luck!
Dinesh Khattar
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