Math Study Material & Calculator (Class 10

📗 Class 10 Calculators (Topic-wise)

Quadratic Equation — Formula

x = (-b ± √(b² − 4ac)) / 2a

Calculate

Trigonometry — Formula

sinθ, cosθ, tanθ

Distance Formula

d = √((x₂ − x₁)² + (y₂ − y₁)²)

Areas Related to Circles — Area of Circle

Area = πr²

Surface Areas and Volumes — Volume of Sphere

Volume = (4/3)πr³

Arithmetic Progressions — Sum of First n Terms

Sₙ = n/2 * (2a + (n-1)d)

Geometric Progressions — nth Term and Sum

Tₙ = a * r^(n-1)
Sₙ = a * (r^n - 1) / (r - 1) if r ≠ 1

Statistics — Mean

Mean = Σx / n

📘 Class 11 Calculators (Topic-wise)

Sequences and Series — Arithmetic Progression (nth Term)

Tₙ = a + (n − 1)d

Straight Lines — Slope Formula

m = (y₂ − y₁)/(x₂ − x₁)

Permutations and Combinations — Permutations

P(n,r) = n! / (n-r)!

Binomial Theorem — Binomial Coefficient

C(n,k) = n! / (k!(n-k)!)

Trigonometric Functions — sin, cos, tan

sinθ, cosθ, tanθ

📙 Class 12 Calculators (Topic-wise)

Continuity and Differentiability — Derivative (Basic)

d/dx (x²) = 2x

Determinants — 2x2 Determinant

Det = ad - bc

Vector Algebra — Dot Product

A · B = a1*b1 + a2*b2 + a3*b3

Trigonometry — Identities and Functions

sin²θ + cos²θ = 1
tanθ = sinθ / cosθ
secθ = 1/cosθ, etc.

Inverse Trigonometric Functions

sin⁻¹(x), cos⁻¹(x), tan⁻¹(x)

Integrals — Basic Integration

∫x^n dx = x^(n+1)/(n+1) + C
∫sin(x) dx = -cos(x) + C
∫cos(x) dx = sin(x) + C
∫e^x dx = e^x + C

📘 Math Study Material & Calculators — Class 10, 11, 12