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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
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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 SUMMARYÂ Â
CHAPTER 11. CONSTRUCTIONS
11.1 INTRODUCTION
11.2 DIVISION OF A LINE SEGMENT
11.3 CONSTRUCTION OF TANGENTS TO A CIRCLE
11.4 SUMMARY
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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
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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
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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
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CHAPTER 15. PROBABILITY
15.1 INTRODUCTION
15.2 PROBABILITY — A THEORETICAL APPROACH
15.3 SUMMARY
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