BUSINESS MATHEMATICS AND STATISTICS





GOVERNMENT OF TAMIL NADU

BUSINESS MATHEMATICS AND

STATISTICS

HIGHER SECONDARY FIRST YEAR

VOLUME - I

Untouchability is Inhuman and a Crime

A publication under Free Textbook Programme of Government of Tamil Nadu

Department of School Education





Government of Tamil Nadu First Edition - 2018



NOT FOR SALE

Content Creation

The wise possess all

State Council of Educational Research and Training

? SCERT 2018

Printing & Publishing

Tamil NaduTextbook and Educational Services Corporation

textbooksonline.tn.nic.in (IiIi)







HOW TO USE THE BOOK

Career Options List of Further Studies & Professions.

Learning Objectives:

Learning objectives are brief statements that describe what students will be expected to learn by the end of school year, course, unit, lesson or class period.

Additional information about the concept.

Amazing facts, Rhetorical questions to lead students to Mathematical inquiry

Exercise Assess students' critical thinking and their understanding

ICT To enhance digital skills among students

Web links List of digital resources

To motivate the students to further explore the content digitally and take them in to virtual world

Miscellaneous Problems

Additional problems for the students

Glossary Tamil translation of Mathematical terms

References List of related books for further studies of the topic

Lets use the QR code in the text books ! How ? ? Download the QR code scanner from the Google PlayStore/ Apple App Store into your smartphone ? Open the QR code scanner application ? Once the scanner button in the application is clicked, camera opens and then bring it closer to the QR code in the text book. ? Once the camera detects the QR code, a url appears in the screen.Click the url and goto the content page.

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CAREER OPTIONS IN BUSINESS MATHEMATICS

Higher Secondary students who have taken commerce with Business mathematics can take up careers in BCA, ., and B.Sc. Statistics. Students who have taken up commerce stream, have a good future in banking and nancial institutions.

A lot of students choose to do with a specialization in computers. Higher Secondary Commerce students planning for further studies can take up careers in professional elds such as Company Secretary , Chartered Accountant (CA), ICAI and so on. Others can take up bachelor's degree in commerce (), followed by , Ph.D and M.Phil. ere are wide range of career opportunities for graduates.

A er graduation in commerce, one can choose MBA, MA Economics, MA Operational and Research Statistics at Postgraduate level. Apart from these, there are several diploma, certi cate and vocational courses which provide entry level jobs in the eld of commerce.

Career chart for Higher Secondary students who have taken commerce with Business Mathematics.

Courses

., B.B.A., B.B.M., B.C.A., (Computer), B.A.

Institutions

? Government Arts & Science Colleges, Aided Colleges, Self nancing Colleges.

? Shri Ram College of Commerce (SRCC), Delhi

? Symbiosis Society's College of Arts & Commerce, Pune.

? St. Joseph's College, Bangalore

Scope for further studies

C.A., I.C.W.A, C.S.

B.Sc Statistics

? Presidency College, Chepauk, Chennai.

? Madras Christian College, Tambaram

? Loyola College, Chennai.

? D.R.B.C.C Hindu College, Pattabiram, Chennai.

M.Sc., Statistics

B.B.A., LLB, B.A., LLB, ., LL.B. (Five years integrated Course)

? Government Law College.

? School of excellence, A liated to Dr.Ambethkar Law University

M.A. Economics (Integrated Five Year ? Madras School of Economics,

course) ? Admission based on All

Kotturpuram, Chennai.

India Entrance Examination

M.L. Ph.D.,

B.S.W.

? School of Social studies, Egmore, Chennai

M.S.W

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CONTENTS

1 Matrices and Determinants 1.1 Determinants 1.2 Inverse of a Matrix 1.3 Input ?Output Analysis 2 Algebra 2.1 Partial fractions 2.2 Permutations 2.3 Combinations 2.4 Mathematical induction 2.5 Binomial Theorem 3 Analytical Geometry 3.1 Locus 3.2 System of Straight Lines 3.3 Pair of Straight Lines 3.4 Circles 3.5 Conics 4 Trigonometry 4.1 Trigonometric ratios 4.2 Trigonometric ratios of Compound angles 4.3 Transformation formulae 4.4 Inverse Trigonometric functions 5 Differential Calculus 5.1 Functions and their graphs 5.2 Limits and Derivatives 5.3 Differentiation techniques

Answers Glossary Books for Reference

1-39 1 11 27

40-82 40 47 58 64 70

83-122 84 86 92 99 108

123-156 126 131 137 145

157-209 157 172 189

210-218 219-220

221

E- Book

Assessment

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DIGI Links



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