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CLASS 10 MATH
1. Real Numbers
2. Polynomials
3. Pair of Linear Equations in Two Variables
4. Quadratic Equations
5. Arithmetic Progressions
6. Triangles
7. Coordinate Geometry
8. Introduction to Trigonometry
9. Some Applications of Trigonometry
10. Circles
11. Constructions
12. Areas Related to Circles
13. Surface Areas and Volumes
14. Statistics
15. Probability
1. Real Numbers
- Euclid's Division Lemma
- Fundamental Theorem of Arithmetic
- Prime Factorization
- HCF and LCM
- Irrational Numbers
- Decimal Expansions
2. Polynomials
- Degree of a Polynomial
- Zeros of a Polynomial
- Relationship between Zeros and Coefficients
- Division Algorithm
3. Pair of Linear Equations in Two Variables
- Graphical Method
- Substitution Method
- Elimination Method
- Cross-Multiplication Method
- Consistency and Inconsistency
4. Quadratic Equations
- Standard Form
- Factorization Method
- Completing the Square Method
- Quadratic Formula
- Nature of Roots
5. Arithmetic Progressions
- Common Difference
- nth Term
- Sum of n Terms
- Applications in Real-Life Problems
6. Triangles
- Similarity of Triangles
- Basic Proportionality Theorem
- Criteria for Similarity
- Pythagoras Theorem
7. Coordinate Geometry
- Distance Formula
- Section Formula
- Area of a Triangle
8. Introduction to Trigonometry
- Trigonometric Ratios
- Trigonometric Identities
- Trigonometric Ratios of Complementary Angles
9. Some Applications of Trigonometry
- Heights and Distances
- Angle of Elevation
- Angle of Depression
10. Circles
- Tangents
- Number of Tangents from a Point
- Properties of Tangents
11. Constructions
- Division of a Line Segment
- Construction of Tangents
- Construction of Similar Triangles
12. Areas Related to Circles
- Perimeter and Area of a Circle
- Area of Sector and Segment
- Areas of Combinations of Plane Figures
13. Surface Areas and Volumes
- Surface Area of a Sphere, Cylinder, Cone
- Volume of a Sphere, Cylinder, Cone
- Conversion of Solid from One Shape to Another
- Frustum of a Cone
14. Statistics
- Mean, Median, Mode of Grouped Data
- Cumulative Frequency
- Graphical Representation (Ogive)
15. Probability
- Classical Definition
- Simple Problems on Single Events
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