12.Areas Related to Circles

12.1. Introduction

12.2. perimeter and Area of Circle

12.3. Areas of Sector and Segment of a Circle

12.4. Areas of Combinations of Plane Figures

1.Real Numbers

1.1. Introduction

1.2. Euclid's Division Lemma

1.3. Fundamental Theorem of Arithmetic

1.4. Revisiting Irrational Numbers

1.5. Revisiting Rational Numbers and their Decimal Expansions

1.6. Proofs of results - Irrationality of v2, v3, v5

1.6. Proofs of results - Irrationality of v2, v3, v5

1.6. Proofs of results - Irrationality of v2, v3, v5

1.7. Decimal Expansions of Rational Numbers in terms of Terminating / Non-Terminating Recurring Decimals

2.Polynomials

2.1. Introduction

2.2. Geometrical Meaning of the Zeros of a Polynomial

2.3. Relationship between Zeros and Coefficients of Quadratic Polynomials

2.4. Division Algorithm for Polynomials

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 of a Pair of Linear Equations

3.4.1. Substitution Method

3.4.2. Elimination Method

3.4.2. Multiplication Method

3.5. Equations Reducible to a Pair of Linear Equations in Two Variables

4.Quadratic Equations

4.1. Introduction

4.2. Quadratic Equations

4.2. Quadratic Equations

4.3. Solution of a Quadratic Equation by Factorization

4.4. Solution of the Quadratic Equations by Completing the Square

4.5. Nature of Roots

5.Arithmetic Progressions

5.1 Introduction

5.2. Arithmetic Progressions

5.3. nth Term of an Arithmetic Progression (AP)

5.4. Sum of First n Terms of an AP

6.Triangles

6.1. Introduction

6.2. Similar Figures

6.3. Similarity of Triangles

6.4. Criteria of Similarity of Triangles

6.5. Areas of Similar Triangles

6.6. Pythagoras Theorem

7.Coordinate Geometry

7.1. Introduction

7.2. Distance Formula

7.3. Section Formula

7.4. Area of Triangle

8.Introduction to Trigonometry

8.1. introduction

8.1. introduction

8.2. Trigonometric Ratios

8.2. Trigonometric Ratios

8.2. Trigonometric Ratios

8.3. Trigonometric Ratios of Some Specific Angles

8.4. Trigonometric Ratios of Complimentary Angles

8.5. Trigonometric Identities

9.Some Applictions in Trigonometry

9.1 Introduction

9.2. Heights and Distances

10.Circles

10.1 Introduction

10.2. Tangent to a Circle

10.3. Number of Tangents from a Point on a Circle

11.Constructions

11.1. Introduction

11.2. Division of Line Segment

11.3. Construction of Tangents to a Circle

13. Surface Areas And Volumes

13.1. Introduction

13.2. Surface Area of a Combination of Solids

13.3. Volume of Combination of Solids

13.4. Conversion of Solid from One Shape to Another

13.5. Frustum of a Cone

14.Statistics

14.1. Introduction

14.2. Mean of Grouped Data

14.3. Mode of Grouped Data

14.4. Median of Grouped Data

APPENDICS A - 1.1. PROOFS IN MATHEMATICS

A.1.1. Introduction

1.2. Mathematical Statements Revisited

1.3. Deductive Reasoning

1.4. Conjectures, Theorems, Proofs and Mathematical Reasoning

1.4. Conjectures, Theorems, Proofs and Mathematical Reasoning

1.4. Conjectures, Theorems, Proofs and Mathematical Reasoning

1.4. Conjectures, Theorems, Proofs and Mathematical Reasoning

1.5. Negation of a Statement

1.6. Converse of a Statement

1.7. Proof by Contradiction