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)
FAQs – JEE Mathematics Formula Sheet (Main & Advanced)
I. What is a JEE Mathematics formula sheet?
A JEE Mathematics formula sheet is a structured collection of all important formulas arranged chapter-wise to help students revise quickly and efficiently.
II. Is a formula sheet useful for JEE Main & Advanced preparation?
Yes, it helps improve speed, accuracy, and retention, which are crucial for solving problems quickly in JEE exams.
III. Which chapters are most important in JEE Maths formulas?
Important chapters include Algebra, Calculus, Coordinate Geometry, Trigonometry, and Vectors & 3D Geometry.
IV. Can I rely only on a formula sheet for JEE preparation?
No, a formula sheet is ideal for revision, but consistent practice of numerical problems is essential for success in JEE.
V. How can I memorize Maths formulas effectively for JEE?
Regular revision, solving problems daily, and maintaining short notes are the best ways to remember formulas.
VI. Is this formula sheet helpful for last-minute revision?
Yes, it is designed for quick revision and helps cover the entire syllabus efficiently before the exam.
VII. Is the JEE Maths formula sheet available for free download?
Yes, you can download the complete PDF for free and enhance your preparation.
VIII. Is there any difference between JEE Main and Advanced formulas?
Basic formulas are the same, but JEE Advanced requires deeper understanding and application of concepts.