JEE Mathematics Formula Sheet: Your Quick Revision Guide
Mathematics is the deciding factor in JEE. This organized, chapter-wise formula sheet covers all essential formulas you need for JEE Main and JEE Advanced.
1. Algebra
Quadratic Equations
- Roots: x = (-b ± √(b²-4ac)) / 2a
- Discriminant: D = b² - 4ac
- D > 0: Real & distinct | D = 0: Equal | D < 0: Complex roots
Sequences & Series
- AP nth term: aₙ = a + (n-1)d | Sum: Sₙ = n/2[2a + (n-1)d]
- GP nth term: aₙ = arn-1
Binomial Theorem
(x+a)n = Σ C(n,k) · xk · an-k
Logarithms
- log(ab) = log a + log b
- log(a/b) = log a - log b
- log(an) = n log a
2. Trigonometry
Fundamental Identities
- sin²θ + cos²θ = 1
- 1 + tan²θ = sec²θ
Compound Angle Formulas
- sin(A+B) = sinA cosB + cosA sinB
- cos(A+B) = cosA cosB - sinA sinB
- tan(A+B) = (tanA + tanB) / (1 - tanA tanB)
3. Coordinate Geometry
- Distance: d = √[(x₂-x₁)² + (y₂-y₁)²]
- Slope: m = (y₂-y₁)/(x₂-x₁)
- Line equation: y = mx + c
- Circle: (x-h)² + (y-k)² = r²
4. Calculus
Limits
lim(x→0) sinx/x = 1
Derivatives
- d/dx(xn) = nxn-1
- d/dx(sinx) = cosx
- d/dx(ex) = ex
Integration
- ∫xndx = xn+1/(n+1) + C
- ∫sinx dx = -cosx + C
5. Vectors
- Dot Product: A·B = |A||B|cosθ
- Cross Product: |A×B| = |A||B|sinθ
6. Probability
- Basic: P(A) = Favorable / Total outcomes
- Conditional: P(A|B) = P(A∩B) / P(B)
7. Matrices & Determinants
- 2×2 Determinant: |ad - bc|
- Inverse: A-1 = (1/|A|) · adj(A)