Praface

According to La Rochefoucauld “However brilliant an action it should not be estimated great unless the result of a great motive”.
Mathematics is more than a subject it’s an art. We encounter mathematics in every part of our lives. So, it is a must to have at least basic knowledge in mathematics. In preparing this book we have worked hard to capture every aspect of mathematics, its style and strengths which are friendly to contemporary students. This book is mainly designed for the students of grade XII, according to the curriculum designed by Curriculum Development Centre (CDC) and approved by Nepal Government.
We have come with the modern approach in solving the problem of mathematics step by step. This book mainly focuses on understanding, communicating and manipulating of mathematical ideas. It helps students to acquire mathematical maturity to apply to master the problems and for their applications.
After completing the study of this book, students would able to approach mathematics in more academic and practical way. We hope that the students will be able to generate their own skills, concepts and ideas on solving the problems rather than being a dependent only on teachers.
We have approached some new and fresh ideas to make the book not only useful but also equally interesting. We hope this book will be intelligible to the aspiring students.
If you go through this book you will find some ideas that you understand immediately, others you don’t understand until you read several times and some that you don’t understand even after multiple reading. Don’t get discouraged as some ideas take time to percolate, however, you may well find that the idea suddenly becomes clear later even you have least expected.
If you find that your answer to an exercise doesn’t match to the answer key, do not immediately presume that your answer is incorrect as there may be more than one way to express the answer. If your answer doesn’t match in the text then your best first step is to look for an algebraic manipulation or trigonometric identities that may result in relating the two answers in a precise way.

– The Authors