CBSE Mathematics Class 10 Complete Notes with Questions answers

1. Real Numbers

• Introduction
• The Fundamental Theorem of Arithmetic
• Revisiting Irrational Numbers
• Summary
• EXERCISE 1.1 - Solutions
• EXERCISE 1.2 - Solutions
• Practice Questions with Solutions

2. Polynomials

• Introduction
• Terms used in Algebraic expression
• Some Key components of an algebraic expression
• BODMAS /PEMDAS Rules
• Linear polynomial
• Quadratic Polynomial
• Cubic Polynomial
• Geometrical Meaning of the Zeroes of a Polynomial
• Zeros of a Polynomial
• The value of a polynomial
• Equations representation on a Graph
• Geometrical Representation of a Linear Polynomial
• Geometrical Representation of a Quadratic Polynomial
• Find the vertex
• Three possible zeroes
• Relationship between Zeroes and Coefficientsof a Polynomial
• Relationship between Zeroes and Coefficients of a Linear Polynomial
• The sum of the reciprocals of the zeros
• Relationship between Zeroes and Coefficients of a Quadratic Polynomial
• By using Viète's Formulas
• By using the Quadratic Formula
• Discriminant
• Difference between both methods
• Relationship between Zeroes and Coefficients of a Cubic Polynomial
• The sum of the reciprocals of the zeros
• Summary
• Exercise 2.1
• Exercise 2.2
• Practice Questions with Solutions

3. Pair of Linear Equations in Two Variables

• Graphical Method of Solution of a Pair of LinearEquations
• Exercise 3.1
• Algebraic Methods of Solving a Pair of LinearEquations
• Substitution Method
• Exercise 3.2
• Elimination Method
• Exercise 3.3
• Summary
• Practice Questions with Solutions

4. Quadratic Equations

• Introduction
• Quadratic Formula
• Solution of a Quadratic Equation by Factorisation
• Nature of Roots
• Examples
• Exercise 4.1
• Exercise 4.2
• Exercise 4.3
• Summary
• Practice Questions with Solutions

5. Arithmetic Progressions

• Introduction
• Rationalised 2023-24
• Arithmetic Progressions
• n^th Term of an AP
• Sum of First n Terms of an AP
• Summary
• Exercise 5.1
• Exercise 5.2
• Exercise 5.3
• Exercise 5.4 * Optional
• Practice Questions with Solutions

6. Triangles

• Introduction
• Similar Figures
• Similarity of Triangles
• Criteria for Similarity of Triangles
• Summary
• Exercise 6.1
• Exercise 6.2
• Exercise 6.3
• Practice Questions with Solutions

7. Coordinate Geometry

• Introduction
• Distance Formula
• Section Formula
• Summary
• Exercise 7.1
• Exercise 7.2
• Practice Questions with Solutions

8. Introduction to Trigonometry

• Introduction
• Trigonometric Ratios
• Trigonometric Ratios of Some Specific Angles
• Trigonometric Identities
• Summary
• Examples
• Exercise 8.1
• Exercise 8.2
• Exercise 8.3
• Practice Questions with Solutions

9. Some Applications of Trigonometry

• Heights and Distances
• Summary
• Exercise 9.1
• Practice Questions with Solutions

10. Circles

• Introduction
• Tangent to a Circle
• Number of Tangents from a Point on a Circle
• Summary
• Practice Questions with Solutions

11. Areas Related to Circles

• Areas of Sector and Segmentk of a Circle
• Summary
• Rationalised 2023-24
• Exercise 11.1
• Practice Questions with Solutions

12. Surface Areas and Volumes

• Introduction
• Surface Area of a Combination of Solids
• Volume of a Combination of Solids
• Summary
• Examples
• Exercise 12.1
• Exercise 12.2
• Practice Questions with Solutions

13. Statistics

• Introduction
• Mean of Grouped Data
• Mode of Grouped Data
• Median of Grouped Data
• Summary
• Practice Questions with Solutions

14. Probability

• Probability — A Theoretical Approach
• Summary
• Practice Questions with Solutions

Appendix A1: Proofs in Mathematics

• Introduction
• Mathematical Statements Revisited
• Deductive Reasoning
• Conjectures, Theorems, Proofs and Mathematical Reasoning
• Negation of a Statement
• Converse of a Statement
• Proof by Contradiction
• Summary
• Practice Questions with Solutions

Appendix A2: Mathematical Modelling

• Introduction
• Stages in Mathematical Modelling
• Some Illustrations
• Why is Mathematical Modelling Important?
• Summary