Free Download NCERT Textbook of Class 10 Maths for UPSC Exam

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CHAPTER 1. REAL NUMBERS 

1.1 INTRODUCTION

1.2 EUCLID’S DIVISION LEMMA

1.3 THE FUNDAMENTAL THEOREM OF ARITHMETIC

1.4 REVISITING IRRATIONAL NUMBERS

1.5 REVISITING RATIONAL NUMBERS AND THEIR DECIMAL EXPANSIONS

1.6 SUMMARY

 

CHAPTER 2. POLYNOMIALS  

2.1 INTRODUCTION

2.2 GEOMETRICAL MEANING OF THE ZEROES OF A POLYNOMIAL

2.3 RELATIONSHIP BETWEEN ZEROES AND COEFFICIENTS OF A POLYNOMIAL

2.4 DIVISION ALGORITHM FOR POLYNOMIALS

2.5 SUMMARY

 

CHAPTER 3. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

3.1 INTRODUCTION

3.2 PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

3.3 GRAPHICAL METHOD OF SOLUTION OF A PAIR OF LINEAR EQUATIONS

3.4 ALGEBRAIC METHODS OF SOLVING A PAIR OF LINEAR EQUATIONS

3.4.1 SUBSTITUTION METHOD

3.4.2 ELIMINATION METHOD

3.4.3 CROSS-MULTIPLICATION METHOD

3.5 EQUATIONS REDUCIBLE TO A PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

3.6 SUMMARY

 

CHAPTER 4. QUADRATIC EQUATIONS

4.1 INTRODUCTION

4.2 QUADRATIC EQUATIONS

4.3 SOLUTION OF A QUADRATIC EQUATION BY FACTORISATION

4.4 SOLUTION OF A QUADRATIC EQUATION BY COMPLETING THE SQUARE

4.5 NATURE OF ROOTS

4.6 SUMMARY

 

CHAPTER 5. ARITHMETIC PROGRESSIONS

5.1 INTRODUCTION

5.2 ARITHMETIC PROGRESSIONS

5.3 NTH TERM OF AN AP

5.4 SUM OF FIRST N TERMS OF AN AP

5.5 SUMMARY

 

CHAPTER 6. TRIANGLES 

6.1 INTRODUCTION

6.2 SIMILAR FIGURES

6.3 SIMILARITY OF TRIANGLES

6.4 CRITERIA FOR SIMILARITY OF TRIANGLES

6.5 AREAS OF SIMILAR TRIANGLES

6.6 PYTHAGORAS THEOREM

6.7 SUMMARY

 

CHAPTER 7. COORDINATE GEOMETRY

7.1 INTRODUCTION

7.2 DISTANCE FORMULA

7.3 SECTION FORMULA

7.4 AREA OF A TRIANGLE

7.5 SUMMARY

 

CHAPTER 8. INTRODUCTION TO TRIGONOMETRY

8.1 INTRODUCTION 173

8.2 TRIGONOMETRIC RATIOS 174

8.3 TRIGONOMETRIC RATIOS OF SOME SPECIFIC ANGLES 181

8.4 TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES 187

8.5 TRIGONOMETRIC IDENTITIES 190

8.6 SUMMARY 194

 

CHAPTER 9.  SOME APPLICATIONS OF TRIGONOMETRY

9.1 INTRODUCTION

9.2 HEIGHTS AND DISTANCES

9.3 SUMMARY

 

CHAPTER 10. CIRCLES

10.1 INTRODUCTION

10.2 TANGENT TO A CIRCLE

10.3 NUMBER OF TANGENTS FROM A POINT ON A CIRCLE

10.4 SUMMARY  

 

CHAPTER 11. CONSTRUCTIONS

11.1 INTRODUCTION

11.2 DIVISION OF A LINE SEGMENT

11.3 CONSTRUCTION OF TANGENTS TO A CIRCLE

11.4 SUMMARY

 

CHAPTER 12. AREAS RELATED TO CIRCLES

12.1 INTRODUCTION

12.2 PERIMETER AND AREA OF A CIRCLE — A REVIEW

12.3 AREAS OF SECTOR AND SEGMENT OF A CIRCLE

12.4 AREAS OF COMBINATIONS OF PLANE FIGURES

12.5 SUMMARY

 

CHAPTER 13. SURFACE AREAS AND VOLUMES

13.1 INTRODUCTION

13.2 SURFACE AREA OF A COMBINATION OF SOLIDS

13.3 VOLUME OF A COMBINATION OF SOLIDS

13.4 CONVERSION OF SOLID FROM ONE SHAPE TO ANOTHER

13.5 FRUSTUM OF A CONE

13.6 SUMMARY

 

CHAPTER 14. STATISTICS

14.1 INTRODUCTION

14.2 MEAN OF GROUPED DATA

14.3 MODE OF GROUPED DATA

14.4 MEDIAN OF GROUPED DATA

14.5 GRAPHICAL REPRESENTATION OF CUMULATIVE FREQUENCY DISTRIBUTION

14.6 SUMMARY

 

CHAPTER 15. PROBABILITY

15.1 INTRODUCTION

15.2 PROBABILITY — A THEORETICAL APPROACH

15.3 SUMMARY

 

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NCERT Textbook of Class 7 Polity