CBSE Maths formulas A–Z

A–Z

A

• Arc length l = θ/360° × 2πr
• Area of a sector A = θ/360° × πr²

B

• Bayes' theorem P(Eᵢ | A) = P(Eᵢ)P(A | Eᵢ) / ΣP(Eⱼ)P(A | Eⱼ)
• Binomial expansion (a + b)ⁿ = Σ nCr aⁿ⁻ʳ bʳ

D

• Derivative of sin x d/dx (sin x) = cos x
• Distance formula PQ = √((x₂ − x₁)² + (y₂ − y₁)²)

H

• Heron's formula A = √(s(s − a)(s − b)(s − c))

I

• Integration by parts ∫ f g dx = f ∫ g dx − ∫ (f′ ∫ g dx) dx

M

• Magnitude of a vector |a| = √(x² + y² + z²)
• Midpoint formula M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

N

• nCr formula (combinations) nCr = n! / (r!(n − r)!)
• nth term of an AP aₙ = a + (n − 1)d

Q

• Quadratic formula x = (−b ± √D) / 2a

S

• Section formula P = ((mx₂ + nx₁)/(m + n), (my₂ + ny₁)/(m + n))
• Sum of n terms of an AP Sₙ = n/2 [2a + (n − 1)d]

T

• Trig identities sin²A + cos²A = 1

V

• Volume of a cone V = ⅓πr²h
• Volume of a sphere V = ⁴⁄₃πr³

By topic

Algebra

Binomial expansionnCr formulaQuadratic formula

Sequences and series

nth term of an APSum of n terms of an AP

Geometry and trigonometry

Arc lengthArea of a sectorHeron's formulaTrig identities

Coordinate geometry

Distance formulaMidpoint formulaSection formula

Mensuration

Volume of a coneVolume of a sphere

Vectors

Magnitude of a vector

Calculus

Derivative of sin xIntegration by parts

Statistics and probability

Bayes' theorem