10th Mathematics - TamilNadu State Board (English Medium)
Chapter 1: Relation and Function
1. Introduction - Relation and Function | Mathematics
2. Ordered Pair - Relation and Function | Mathematics
3. Cartesian Product - Definition, Illustration, Example, Solution
4. Cartesian Product of three Set - Illustration for Geometrical understanding
5. Exercise 1.1: Cartesian Product - Problem Questions with Answer, Solution
6. Relations - Definition, Illustration, Example, Solution | Mathematics
7. Exercise 1.2: Relations - Problem Questions with Answer, Solution
8. Functions - Definition, Illustration, Example, Solution | Mathematics
9. Exercise 1.3: Functions - Problem Questions with Answer, Solution
10. Representation of Functions - Mathematics
11. Types of Functions - Definition, Illustration, Example, Solution | Mathematics
12. Special cases of function - Definition, Illustration, Example, Solution | Mathematics
13. Exercise 1.4: Types of Functions - Problem Questions with Answer, Solution | Mathematics
14. Composition of Functions - Definition, Illustration, Example, Solution | Mathematics
15. Identifying the graphs of Linear, Quadratic, Cubic and Reciprocal functions
16. Exercise 1.5: Composition of Functions - Problem Questions with Answer, Solution | Mathematics
17. Multiple choice questions - Relation and Function | Mathematics
18. Exercise: Relation and Function - Problem Questions with Answer, Solution | Mathematics
19. Points to Remember - Relation and Function | Mathematics
Chapter 2: Numbers and Sequences
1. Introduction - Numbers and Sequences
2. Euclid�s Division Lemma - Theorem, Example, Solution
3. Euclid�s Division Algorithm - Theorem, Illustration, Example, Solution | Mathematics
4. Exercise 2.1: Euclid�s Division Algorithm - Problem Questions with Answer, Solution | Mathematics
5. Fundamental Theorem of Arithmetic - Theorem, Significance, Illustration, Example, Solution | Mathematics
6. Exercise 2.2: Fundamental Theorem of Arithmetic - Problem Questions with Answer, Solution | Mathematics
7. Modular Arithmetic - Theorem, Illustration, Example, Solution | Mathematics
8. Exercise 2.3: Modular Arithmetic - Problem Questions with Answer, Solution | Mathematics
9. Sequences - Definition, Theorem, Illustration, Example, Solution | Mathematics
10. Exercise 2.4: Sequences - Problem Questions with Answer, Solution | Mathematics
11. Arithmetic Progression - Definition, Theorem, Illustration, Terms, Common Difference, Example, Solution | Mathematics
12. Exercise 2.5: Arithmetic Progression - Problem Questions with Answer, Solution | Mathematics
13. Series: Sum to n terms of an A.P.(Arithmetic Progression) - Example, Solution | Mathematics
14. Exercise 2.6: Series: Sum to n terms of an A.P.(Arithmetic Progression) - Problem Questions with Answer, Solution | Mathematics
15. Geometric Progression - Definition, General form, term, Example, Solution | Mathematics
16. Exercise 2.7: Geometric Progression - Problem Questions with Answer, Solution | Mathematics
17. Sum to n/infinite terms of a G.P.(Geometric Progression) - Theorem, Example, Solution | Mathematics
18. Exercise 2.8: Sum to n/infinite terms of a G.P.(Geometric Progression) - Problem Questions with Answer, Solution | Mathematics
19. Special Series - Definition, Theorem, Example, Solution | Mathematics
20. Exercise 2.9: Special Series - Problem Questions with Answer, Solution | Mathematics
21. Multiple choice questions - Numbers and Sequences | Mathematics
22. Exercise: Numbers and Sequences - Problem Questions with Answer, Solution | Mathematics
23. Points to Remember - Numbers and Sequences | Mathematics
Chapter 3: Algebra
1. Algebra
2. Introduction, Definition - Example, Solution | Algebra
3. System of Linear Equations in Three Variables - Example, Solution | Algebra
4. Exercise 3.1: System of Linear Equations in Three Variables - Problem Questions with Answer, Solution | Mathematics
5. Greatest Common Divisor (GCD) or Highest Common Factor (HCF) of Polynomials - Example, Solution | Algebra
6. Least Common Multiple (LCM) of Polynomials - Example, Solution | Algebra
7. Exercise 3.2: GCD and LCM of Polynomials - Problem Questions with Answer, Solution | Mathematics
8. Relationship between LCM and GCD - Illustration | Algebra
9. Exercise 3.3: Relationship between LCM and GCD - Problem Questions with Answer, Solution | Mathematics
10. Rational Expressions - Definition, Reduction, Example, Solution | Algebra
11. Exercise 3.4: Rational Expressions - Problem Questions with Answer, Solution | Mathematics
12. Operations of Rational Expressions - Example, Solution | Algebra
13. Exercise 3.5: Multiplication and Division of Rational Expressions - Problem Questions with Answer, Solution | Mathematics
14. Exercise 3.6: Addition and Subtraction of Rational Expressions - Problem Questions with Answer, Solution | Mathematics
15. Square Root of Polynomials - Factorization Method, Example, Solution | Algebra
16. Exercise 3.7: Find the Square Root by Factorization Method - Problem Questions with Answer, Solution | Mathematics
17. Finding the Square Root of a Polynomial by Division Method - Example, Solution | Algebra
18. Exercise 3.8: Finding the Square Root of a Polynomial by Division Method - Problem Questions with Answer, Solution | Mathematics
19. Quadratic Equations - Expression, Zeroes, Roots, Formation, Example, Solution | Algebra
20. Exercise 3.9: Quadratic Equations - Problem Questions with Answer, Solution | Mathematics
21. Solving Quadratic Equations by factorization method - Example, Solution | Algebra
22. Exercise 3.10: Solving Quadratic Equations by factorization method - Problem Questions with Answer, Solution | Mathematics
23. Solving a Quadratic Equation by Completing the Square Method - Example, Solution | Algebra
24. Solving a Quadratic Equation by Formula Method - Example, Solution | Algebra
25. Exercise 3.11: Solving a Quadratic Equation by Completing the Square Method, Formula Method - Problem Questions with Answer, Solution | Mathematics
26. Solving Problems Involving Quadratic Equations - Procedure Steps, Example Solved Problem
27. Exercise 3.12: Solving Problems Involving Quadratic Equations - Problem Questions with Answer, Solution | Mathematics
28. Nature of Roots of a Quadratic Equation - Example Solved Problem | Mathematics Algebra
29. Exercise 3.13: Nature of Roots of a Quadratic Equation - Problem Questions with Answer, Solution | Mathematics
30. The Relation between Roots and Coefficients of a Quadratic Equation - Example Solved Problem | Mathematics
31. Exercise 3.14: The Relation between Roots and Coefficients of a Quadratic Equation - Problem Questions with Answer, Solution | Mathematics
32. Quadratic Graphs - Example Solved Problem | Mathematics
33. Exercise 3.15: Quadratic Graphs - Problem Questions with Answer, Solution | Mathematics
34. Matrices - Introduction, Definition
35. Order of a Matrix
36. Types of Matrices
37. Exercise 3.16: Matrix - Problem Questions with Answer, Solution | Mathematics
38. Addition and subtraction of matrices - Example Solved Problem
39. Multiplication of Matrix by a Scalar
40. Properties of Matrix Addition and Scalar Multiplication
41. Exercise 3.17: Operations on Matrices - Problem Questions with Answer, Solution | Mathematics
42. Properties of Multiplication of Matrix - Example Solved Problem | Mathematics
43. Exercise 3.18: Properties of Multiplication of Matrix - Problem Questions with Answer, Solution | Mathematics
44. Multiple choice questions - Algebra | Mathematics
45. Exercise: Algebra - Problem Questions with Answer, Solution | Mathematics
46. Points to Remember - Algebra | Mathematics
Chapter 4: Geometry
1. Introduction - Geometry | Mathematics
2. Similar triangles - Useful results, Definition, Illustration, Example Solved Problems | Geometry
3. Exercise 4.1: Similarity and Similar triangles - Problem Questions with Answer, Solution | Mathematics
4. Thales Theorem and Angle Bisector Theorem - Statement, Proof, Construction, Illustration, Solved Example Problems
5. Construction of triangle - Geometry | Mathematics
6. Exercise 4.2: Thales Theorem and Angle Bisector Theorem - Problem Questions with Answer, Solution | Mathematics
7. Pythagoras Theorem - Statement, Proof, Solved Example Problems | Geometry
8. Exercise 4.3: Pythagoras Theorem - Problem Questions with Answer, Solution | Mathematics
9. Circles and Tangents - Theorem, Statement, Proof, Construction, Solved Example Problems | Geometry
10. Construction of tangents to a circle - Solved Example Problems | Geometry
11. Concurrency Theorems - Definition, Statement, Proof, Solved Example Problems | Geometry
12. Exercise 4.4: Concurrency Theorems - Problem Questions with Answer, Solution | Mathematics
13. Multiple choice questions - Geometry | Mathematics
14. Exercise: Geometry - Problem Questions with Answer, Solution | Mathematics
15. Points to Remember - Geometry | Mathematics
Chapter 5: Coordinate Geometry
1. Introduction - Coordinate Geometry
2. Area of a Triangle - Coordinate Geometry
3. Area of a Quadrilateral - Coordinate Geometry
4. Solved Example Problems: Area of a Triangle and Quadrilateral - with Answer, Solution | Mathematics
5. Exercise 5.1: Area of a Triangle and Quadrilateral - Problem Questions with Answer, Solution | Mathematics
6. Inclination of a line - Slopes | Coordinate Geometry
7. Exercise 5.2: Inclination of a line - Problem Questions with Answer, Solution | Mathematics
8. Straight line - Equations, Example Solved Problem | Coordinate Geometry
9. Exercise 5.3: Straight line - Problem Questions with Answer, Solution | Mathematics
10. General Form of a Straight Line - Equations, Example Solved Problem | Coordinate Geometry
11. Exercise 5.4: General Form of a Straight Line - Problem Questions with Answer, Solution | Mathematics
12. Multiple choice questions - Coordinate Geometry | Mathematics
13. Exercise: Coordinate Geometry - Problem Questions with Answer, Solution | Mathematics
14. Points to Remember - Coordinate Geometry | Mathematics
Chapter 6: Trigonometry
1. Introduction - Trigonometry
2. Trigonometric identities
3. Exercise 6.1: Trigonometric identities - Problem Questions with Answer, Solution | Mathematics
4. Problems involving Angle of Elevation - Solved Example Problems | Trigonometry | Mathematics
5. Exercise 6.2: Problems involving Angle of Elevation - Problem Questions with Answer, Solution | Trigonometry
6. Problems involving Angle of Depression - Solved Example Problems | Trigonometry | Mathematics
7. Exercise 6.3: Problems involving Angle of Depression - Problem Questions with Answer, Solution | Trigonometry
8. Problems involving Angle of Elevation and Depression - Solved Example Problems | Trigonometry | Mathematics
9. Exercise 6.4: Problems involving Angle of Elevation and Depression - Problem Questions with Answer, Solution | Trigonometry
10. Multiple choice questions - Trigonometry | Mathematics
11. Exercise: Trigonometry - Problem Questions with Answer, Solution | Trigonometry
12. Points to Remember - Trigonometry | Mathematics
Chapter 7: Mensuration
1. Introduction - Mensuration
2. Surface Area: Right Circular Cylinder - Definition, Formula, Solved Example Problems | Mensuration | Mathematics
3. Surface Area: Hollow Cylinder - Definition, Formula, Solved Example Problems | Mensuration | Mathematics
4. Surface Area of Right Circular Cone - Definition, Formula, Solved Example Problems | Mensuration | Mathematics
5. Surface Area: The Sphere - Definition, Formula, Solved Example Problems | Mensuration | Mathematics
6. Surface Area: Frustum of a right circular cone - Definition, Formula, Solved Example Problems | Mensuration | Mathematics
7. Exercise 7.1: Surface Area - Problem Questions with Answer, Solution | Mensuration | Mathematics
8. Volume of a solid right circular cylinder - Formula | Mensuration | Mathematics
9. Volume of a hollow cylinder (volume of the material used) - Definition, Formula, Solved Example Problems | Mensuration | Mathematics
10. Volume of a right circular cone - Definition, Formula, Solved Example Problems | Mensuration | Mathematics
11. Volume of sphere/hemisphere - Definition, Formula, Solved Example Problems | Mensuration | Mathematics
12. Volume of frustum of a cone - Definition, Formula, Solved Example Problems | Mensuration | Mathematics
13. Exercise 7.2: Volume - Problem Questions with Answer, Solution | Mensuration | Mathematics
14. Volume and Surface Area of Combined Solids - Solved Example Problems | Mensuration | Mathematics
15. Exercise 7.3: Volume and Surface Area of Combined Solids - Problem Questions with Answer, Solution | Mensuration | Mathematics
16. Conversion of Solids from one shape to another with no change in Volume - Solved Example Problems | Mensuration | Mathematics
17. Exercise 7.4: Conversion of Solids from one shape to another with no change in Volume - Problem Questions with Answer, Solution | Mensuration | Mathematics
18. Multiple choice questions - Mensuration | Mathematics
19. Exercise: Mensuration - Problem Questions with Answer, Solution | Mathematics
20. Points to Remember - Mensuration | Mathematics
Chapter 8: Statistics And Probability
1. Introduction - Statistics and Probability
2. Measures of Dispersion - Different types, Formula, Solved Example Problems | Mathematics
3. Calculation of Standard Deviation - Formula, Solved Example Problems | Statistics | Mathematics
4. Exercise 8.1: Measures of Dispersion - Problem Questions with Answer, Solution | Mathematics
5. Coefficient of Variation - Formula, Solved Example Problems | Statistics | Mathematics
6. Exercise 8.2: Coefficient of Variation - Problem Questions with Answer, Solution | Statistics | Mathematics
7. Probability - Example Solved Problem | Mathematics
8. Exercise 8.3: Probability - Problem Questions with Answer, Solution | Mathematics
9. Algebra of Events - Probability
10. Addition Theorem of Probability - Proof, Example Solved Problem | Mathematics
11. Exercise 8.4: Addition Theorem of Probability - Problem Questions with Answer, Solution | Mathematics
12. Multiple choice questions - Statistics and Probability | Mathematics
13. Exercise: Statistics and Probability - Problem Questions with Answer, Solution | Mathematics
14. Points to Remember - Statistics and Probability | Mathematics
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