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JEE Maths Formula Book

JEE Maths Formula Book

A compact and structured revision resource for JEE aspirants covering important formulas, identities, properties, standard results and quick chapter-wise recall points. This page shows a preview. The complete PDF is available after submitting your details.

JEE Main + Advanced
Chapter-wise formulas
Quick revision format
Prepared by Lakshya
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What this Formula Book includes

Core JEE Chapters

  • Sets, Relations & Functions
  • Quadratic Equations
  • Sequence & Series
  • Permutation & Combination
  • Binomial Theorem
  • Straight Lines & Circles

Higher Weightage Topics

  • Limits, Continuity & Differentiability
  • Application of Derivatives
  • Indefinite & Definite Integration
  • Differential Equations
  • Vectors & 3D Geometry
  • Probability & Matrices

Free Preview – 30% Sample Content

Below is a sample preview of the type of structured content available in the full JEE Maths Formula Book. The complete chapter-wise PDF contains much more detailed formula coverage, standard identities, quick recall results and exam-useful shortcuts.

1. Quadratic Equations

Standard form: ax² + bx + c = 0, a ≠ 0
Roots: x = [−b ± √(b² − 4ac)] / 2a
Discriminant: D = b² − 4ac
Sum of roots = −b/a
Product of roots = c/a
Equation with roots α, β: x² − (α + β)x + αβ = 0

2. Sequence & Series

AP nth term: aₙ = a + (n − 1)d
Sum of n terms of AP: Sₙ = n/2 [2a + (n − 1)d]
GP nth term: aₙ = arⁿ⁻¹
Sum of n terms of GP: Sₙ = a(rⁿ − 1)/(r − 1), r ≠ 1
Infinite GP sum: S∞ = a/(1 − r), |r| < 1

3. Trigonometric Ratios & Identities

sin²x + cos²x = 1
1 + tan²x = sec²x
1 + cot²x = cosec²x
sin(A ± B) = sinA cosB ± cosA sinB
cos(A ± B) = cosA cosB ∓ sinA sinB
tan(A ± B) = (tanA ± tanB)/(1 ∓ tanA tanB)

4. Straight Lines

Slope form: y = mx + c
Two-point form: y − y₁ = [(y₂ − y₁)/(x₂ − x₁)](x − x₁)
Point-slope form: y − y₁ = m(x − x₁)
Distance of point (x₁, y₁) from line ax + by + c = 0 is |ax₁ + by₁ + c| / √(a² + b²)

5. Limits

lim (x→0) sinx/x = 1
lim (x→0) tanx/x = 1
lim (x→0) (1 − cosx)/x² = 1/2
lim (x→∞) (1 + 1/x)^x = e

Locked Preview of Full PDF

Complete PDF contains:

  • Full Algebra formula set
  • Trigonometric transformations & standard results
  • Coordinate geometry quick formulas
  • Differentiation & integration formula sheets
  • Conic sections revision tables
  • Matrices, determinants and probability summary
  • Vector & 3D geometry compact formula tables
  • Standard substitutions and quick recall notes