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🔥 CBSE Class 10 Maths Syllabus – Chapter Names & Key Formulas 🔥
| 📖 Chapter Number | 📝 Chapter Name | 🧠 Key Formulas |
|---|---|---|
| 1 | Real Numbers | – Euclid’s Division Lemma – Fundamental Theorem of Arithmetic – HCF & LCM using Prime Factorization |
| 2 | Polynomials | – Zeros of a Polynomial – Relationship between Zeros and Coefficients for Quadratics: ax² + bx + c = 0 – Division Algorithm for Polynomials |
| 3 | Pair of Linear Equations in Two Variables | – General Form: ax + by + c = 0 – Graphical Method – Substitution & Elimination Methods – Cross-Multiplication Method |
| 4 | Quadratic Equations | – General Form: ax² + bx + c = 0 – Quadratic Formula: x = [-b ± √(b² – 4ac)] / 2a – Discriminant: D = b² – 4ac |
| 5 | Arithmetic Progressions | – nth Term: aₙ = a + (n – 1)d – Sum of First n Terms: Sₙ = (n/2) × [2a + (n – 1)d] |
| 6 | Triangles | – Similarity Criteria (AAA, SSS, SAS) – Pythagoras Theorem: a² + b² = c² – Area Ratio of Similar Triangles: (Area of Δ1 / Area of Δ2) = (side1 / side2)² |
| 7 | Coordinate Geometry | – Distance Formula: d = √[(x₂ – x₁)² + (y₂ – y₁)²] – Section Formula: [(mx₂ + nx₁) / (m + n), (my₂ + ny₁) / (m + n)] |
| 8 | Introduction to Trigonometry | – Trigonometric Ratios (sin, cos, tan, etc.) – Trigonometric Identities: sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ, 1 + cot²θ = cosec²θ |
| 9 | Some Applications of Trigonometry | – Height & Distance Problems – Trigonometric Ratios in Solving Real-Life Problems |
| 10 | Circles | – Tangent Perpendicular to Radius – Length of Tangent from an External Point |
| 11 | Constructions | – Divide a Line Segment – Construct Tangents to a Circle |
| 12 | Areas Related to Circles | – Area of Circle: πr² – Area of Sector: (θ/360) × πr² – Length of Arc: (θ/360) × 2πr |
| 13 | Surface Areas and Volumes | – Surface Area of Sphere: 4πr² – Volume of Sphere: (4/3)πr³ – Volume of Cylinder: πr²h – Volume of Cone: (1/3)πr²h |
| 14 | Statistics | – Mean: x̄ = (Σf₁x₁) / Σf₁ – Mode: Mode = L + [(f₁ – f₀) / (2f₁ – f₀ – f₂)] × h – Median Formula |
| 15 | Probability | – Probability of an Event: P(E) = (Number of Favorable Outcomes) / (Total Outcomes) |
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