CBSE Class 10 Mathematics Complete Study Notes

Complete study notes for CBSE Class 10 Mathematics covering all chapters:

1. Real Numbers

   • Euclid's Division Algorithm
   • Fundamental Theorem of Arithmetic
   • Rational and Irrational Numbers

2. Polynomials

   • Degree of Polynomial
   • Zeros of Polynomial
   • Relationship between Zeros and Coefficients

3. Pair of Linear Equations in Two Variables

   • Graphical Method
   • Algebraic Methods: Substitution, Elimination, Cross-multiplication

4. Quadratic Equations

   • Standard Form
   • Solution by Factorization, Completing Square, Quadratic Formula
   • Nature of Roots

5. Arithmetic Progressions

   • nth term formula
   • Sum of first n terms
   • Application problems

6. Triangles

   • Similar Triangles
   • Criteria for Similarity
   • Areas of Similar Triangles

7. Coordinate Geometry

   • Distance Formula
   • Section Formula
   • Area of Triangle

8. Introduction to Trigonometry

   • Trigonometric Ratios
   • Trigonometric Identities
   • Heights and Distances

9. Some Applications of Trigonometry

   • Line of sight, Angle of elevation and depression
   • Practical problems

10. Circles

    • Tangent to Circle
    • Number of Tangents from External Point

11. Areas Related to Circles

    • Area of sector and segment
    • Areas of combinations of plane figures

12. Surface Areas and Volumes

    • Surface area and volume of cylinder, cone, sphere
    • Combination of solids

13. Statistics

    • Mean of grouped data
    • Mode and Median of grouped data
    • Graphical representation

14. Probability

    • Theoretical approach
    • Simple problems on probability

Each chapter includes:

• Detailed explanations
• Important formulas
• Solved examples
• Practice questions
• Previous year questions