English Class X Maths Contents

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    GOVERNMENT OF KARNATAKA

    MATHEMATICSTENTH STANDARD

    Directorate of Text Books

    100 feet Road, Banashankari 3rd stage,

    Bangalore-85

    200410

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    ii

    PREFACE

    A text book is to be considered primarily as a learning material for the students.

    This book has been designed strictly in accordance with the new revised syllabus

    prescribed by the Directorate of Text books, D.S.E.R.T., Government of Karnatakaand by following the guidelines suggested in the revised syllabus.

    This syllabus gives more importance to logical reasoning and thinking in learning

    mathematics. This is arranged in a concentric manner.

    Each chapter contains detailed presentation of concepts and generalisation. Each

    topic has been explained with a number of worked examples and wherever necessary

    the topics have been supplemented with clear explanatory diagrams to give the students

    a clear understanding of the topic. Each chapter has been provided with sufficient numberof exercises in the end with the aim to give the students a thorough revision of each

    chapter.

    Inculcation of desirable values and positive attitude is one of the major objectives

    to be realised through teaching and learning processes.

    All attempts have been made to reflect the learner - centered and activity oriented

    approach to the curriculum transaction in the presentation of the contents of this revised

    text book. A number of learning activities are suggested for students to understand the

    mathematical ideas and develop problem - solving skills.

    Special attention has been paid to present the subject matter in a brief and precise

    manner keeping an eye on the basic concepts, ideas and facts in the present text book.

    Special stress has been laid on the simplicity of language in all its explanations.

    I sincerely hope that this book will support the teachers to face the challenge

    of teaching mathematics for tenth standard students and help students to learn mathematics

    in a more meaningful and useful manner.

    I am grateful to each and everyone who have contributed for the preparation of

    this text book.

    Any suggestion for improving this book further will be gratefully acknowledged

    and incorporated.

    DR. A.D. GOURI SHANKAR

    Chairman

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    iii

    TEXT BOOK COMMITTEE

    CHAIRMAN

    1) DR. A.D. GOURI SHANKAR

    Regional Joint Director of Collegiate Education,

    Regional Office, Gulbarga - 585101

    MEMBERS

    2) A.B. METI 3) S.M. GOPALAKRISHNA

    HOD Mathematics Department, Lecturer, S.V.P.U. College,

    M.G.V.V. college, Muddebihal Gangolli, Kundapur Tq.

    4) D.R. RANGANATHAIAH 5) K.S. SUSHEELA

    Headmaster, Sri Siddartha High School, Retd Asst. Mistress, St. Theresa High School,

    Chikkamandiganahalli, Hassan Chamarajpet, Bangalore-18

    6) N.V. RAMESH 7) M.V. NAGARAJARAO

    Retd. Headmaster, Govt. High School, Retd. Asst. master, Govt High School

    Thirthahalli, Shimoga District Mysore-4

    8) C. NIRMALA 9) M.R. SHANKARNARAYANA RAO

    Headmistress, Asst. Master,

    M.A.B.L. High School Sri Sharadha Girls High School,

    Doddaballapur, Bangalore Rural District Shidlaghatta, Chickballapur District.

    SCRUTINISERS

    10) VENKATARAM. A. 11) ANANDALAKSHMI

    Retd. Lecturer, Asst. mistress, Acharya Patashala GirlsDIET, Hassan High School, N.R. colony, Bangalore

    ARTIST

    12) G.M. JANGI ( R. Banahatti )

    Drawing teacher, Govt. High School,

    Sultanpet, Bangalore

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    iv

    CONTENTS

    CHAPTERS PAGE NO.

    1. NUMBER SYSTEM 1

    2. PERMUTATIONS AND COMBINATIONS 59

    3. STATISTICS 77

    4. FACTORS AND FACTORISATION 99

    5. QUADRATIC EQUATIONS 123

    6. MODULAR ARITHMETIC 158

    7. PRACTICAL GEOMETRY 166

    8. THEOREMS ON TRIANGLES AND CIRCLES 188

    9. MENSURATION 228

    10. POLYHEDRA AND NETWORKS 253

    ANSWERS 268

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