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JEE Main Maths Formulas 2026 Important Mathematics Formula Sheet | Chapter-Wise PDF
JEE Main Maths formulas are the single most important revision tool for scoring 90+ in the Mathematics section. This page gives you the complete JEE Main Mathematics formula sheet for 2026 — chapter-wise, keyword-rich, and organised by weightage — covering Calculus formulas for JEE Main, Coordinate Geometry formulas, Algebra formulas, Trigonometry formulas, Vectors and 3D Geometry formulas, Probability formulas, Matrices and Determinants formulas, and all other chapters from the JEE Main Maths 2026 syllabus. Use the chapter-wise PDF links in the Formula Hub below to download free JEE Main Maths formula sheet PDFs for every chapter.
JEE Main Maths Chapter-Wise Weightage 2026 — Where to Focus First
Based on PYQ analysis (2019–2025), these five areas account for 80–85% of all JEE Main Maths marks. Prioritise your JEE Main Maths formula revision in this order:
The top 3 chapters — Calculus, Algebra, and Coordinate Geometry — together account for 65–70% of JEE Main Maths marks. Mastering the JEE Main Maths important formulas from these three areas alone can get you 36–40+ marks out of 100.
JEE Main Formula Hub — Chapter-Wise Formulas (Maths | Physics | Chemistry)
Browse chapter-wise JEE Main Maths formulas, JEE Main Physics formulas, and JEE Main Chemistry formulas — all from the Aakash Rapid Revision Formula Bank. Click any chapter for complete formulas + free PDF download.
How Can JEE Main 2026 Important Maths Formulas Help You Score Higher?
Mathematics is often called the most time-consuming section of JEE Main. But with a well-organised JEE Main Maths formula sheet, it becomes the most scoring. A student who has all important JEE Main Maths formulas — from integral calculus and quadratic equations to coordinate geometry and probability — at their fingertips can solve questions 40% faster and make far fewer calculation errors. The JEE Main Mathematics formula sheet for 2026 on this page is structured around actual question frequency and chapter weightage, not just alphabetical order.
Important JEE Main Maths Formulas 2026 — Chapter-Wise
The JEE Main Maths Syllabus 2026 covers 17 chapters across Algebra, Calculus, Coordinate Geometry, Trigonometry, Vectors, and Statistics. Below are the most-tested JEE Main Maths important formulas from each high-weightage chapter, with links to full chapter-wise JEE Main Maths formula sheet PDFs.
Calculus Formulas for JEE Main — Limits PDF | Integration PDF | Derivatives PDF
Calculus carries the highest weightage (40%) in JEE Main Maths — 11 to 13 questions per session come from Limits, Differentiation, Integration, and Application of Derivatives. These calculus formulas for JEE Main are the most tested in the Mathematics section.
| Concept | Important JEE Main Maths Formula |
|---|---|
| Standard Limit | lim(x→0) sin x / x = 1 | lim(x→0) (1+x)^(1/x) = e |
| L'Hôpital's Rule | If 0/0 or ∞/∞ form: lim f(x)/g(x) = lim f'(x)/g'(x) |
| Derivative — Power Rule | d/dx (xⁿ) = nxⁿ⁻¹ |
| Derivative — Product Rule | d/dx(uv) = u'v + uv' |
| Derivative — Quotient Rule | d/dx(u/v) = (u'v − uv') / v² |
| Derivative — Chain Rule | d/dx[f(g(x))] = f'(g(x)) · g'(x) |
| Standard Derivatives | d/dx(sin x) = cos x | d/dx(eˣ) = eˣ | d/dx(ln x) = 1/x |
| Integration — Power Rule | ∫xⁿ dx = xⁿ⁺¹/(n+1) + C (n ≠ −1) |
| Integration by Parts (ILATE) | ∫u·dv = uv − ∫v·du (tested in 2+ questions per session) |
| Standard Integrals | ∫sin x dx = −cos x + C | ∫eˣ dx = eˣ + C | ∫1/x dx = ln|x| + C |
| Definite Integral Property | ∫ₐᵇ f(x)dx = ∫ₐᵇ f(a+b−x)dx (King's property — high frequency) |
| Area Under Curve | A = ∫ₐᵇ |f(x)| dx |
| Maxima / Minima | f'(x) = 0 gives critical points; f''(x) < 0 → maxima; f''(x) > 0 → minima |
| Differential Equation (Variable Separable) | dy/dx = f(x)g(y) → ∫dy/g(y) = ∫f(x)dx |
Coordinate Geometry Formulas for JEE Main — Chapter-wise PDF
Coordinate Geometry is the highest-scoring individual chapter in JEE Main Maths (15–17% weightage). These coordinate geometry formulas for JEE Main cover Straight Lines, Circles, Parabola, Ellipse, and Hyperbola.
| Topic | JEE Main Maths Formula |
|---|---|
| Distance Formula | d = √[(x₂−x₁)² + (y₂−y₁)²] |
| Section Formula (internal) | (mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n) |
| Slope of Line | m = (y₂−y₁)/(x₂−x₁) = tan θ |
| Equation of Line | y − y₁ = m(x − x₁) | Intercept form: x/a + y/b = 1 |
| Distance from Point to Line | d = |ax₁ + by₁ + c| / √(a²+b²) |
| Circle — Standard | (x−h)² + (y−k)² = r² | General: x²+y²+2gx+2fy+c = 0 |
| Circle — centre and radius | Centre = (−g, −f); Radius = √(g²+f²−c) |
| Parabola — Standard | y² = 4ax; Focus (a,0); Directrix x = −a; Latus rectum = 4a |
| Ellipse — Standard | x²/a² + y²/b² = 1; e = c/a; c² = a²−b² |
| Hyperbola — Standard | x²/a² − y²/b² = 1; e = c/a; c² = a²+b² |
| Tangent to Conic | Parabola y²=4ax: ty = x + at² | Ellipse: xx₁/a² + yy₁/b² = 1 |
Algebra Formulas for JEE Main — Complex Numbers PDF | Matrices PDF | P&C PDF
Algebra accounts for 30% of JEE Main Maths marks. These algebra formulas for JEE Main from Complex Numbers, Quadratic Equations, Matrices, Sequences, Binomial, and P&C are essential for scoring 90+.
| Topic | JEE Main Maths Formula |
|---|---|
| Quadratic Roots | x = [−b ± √(b²−4ac)] / 2a | Discriminant D = b²−4ac |
| Vieta's Formulas | Sum of roots = −b/a | Product of roots = c/a |
| Complex Number | z = a + ib; |z| = √(a²+b²); arg(z) = tan⁻¹(b/a) |
| De Moivre's Theorem | (cos θ + i sin θ)ⁿ = cos nθ + i sin nθ |
| Binomial Theorem | (a+b)ⁿ = Σ ⁿCᵣ aⁿ⁻ʳ bʳ | General term: Tᵣ₊₁ = ⁿCᵣ aⁿ⁻ʳ bʳ |
| AP — nth term | aₙ = a + (n−1)d | Sum: Sₙ = n/2[2a + (n−1)d] |
| GP — nth term | aₙ = arⁿ⁻¹ | Sum: Sₙ = a(rⁿ−1)/(r−1) | S∞ = a/(1−r) if |r|<1 |
| Matrices — Product | (AB)ᵀ = BᵀAᵀ | det(AB) = det(A)·det(B) |
| Matrix Inverse | A⁻¹ = adj(A) / det(A) |
| Permutations | nPr = n! / (n−r)! |
| Combinations | nCr = n! / [r!(n−r)!] | nCr = nCₙ₋ᵣ |
| Sequences — Sum of Squares | Σn² = n(n+1)(2n+1)/6 |
Trigonometry Formulas for JEE Main — Chapter-wise PDF
Trigonometry formulas for JEE Main underpin Calculus and Coordinate Geometry — even if only 1–2 direct questions appear, trigonometric identities are used in 8–10 questions across other chapters. Mastering these JEE Main Maths trigonometry formulas is non-negotiable.
| Identity | JEE Main Maths Formula |
|---|---|
| Pythagorean | sin²θ + cos²θ = 1 | 1 + tan²θ = sec²θ | 1 + cot²θ = cosec²θ |
| Compound Angle | sin(A±B) = sinA cosB ± cosA sinB |
| Double Angle | sin 2A = 2 sinA cosA | cos 2A = 1 − 2sin²A = 2cos²A − 1 |
| Half Angle | sin²(A/2) = (1−cosA)/2 | cos²(A/2) = (1+cosA)/2 |
| Product to Sum | 2 sinA cosB = sin(A+B) + sin(A−B) |
| Sine Rule | a/sinA = b/sinB = c/sinC = 2R |
| Cosine Rule | cos A = (b²+c²−a²) / 2bc |
| Inverse Trig | sin⁻¹x + cos⁻¹x = π/2 | tan⁻¹x + cot⁻¹x = π/2 |
Vectors and 3D Geometry Formulas for JEE Main — Vectors PDF | 3D Geometry PDF
Vectors and 3D Geometry formulas for JEE Main are consistently tested in 3–4 questions every session. These JEE Main Maths vector formulas are direct-substitution questions — very high return on formula memorisation.
| Concept | JEE Main Maths Formula |
|---|---|
| Magnitude | |a⃗| = √(a₁²+a₂²+a₃²) |
| Dot Product | a⃗·b⃗ = |a||b| cosθ = a₁b₁+a₂b₂+a₃b₃ |
| Cross Product Magnitude | |a⃗×b⃗| = |a||b| sinθ |
| Angle between Vectors | cos θ = (a⃗·b⃗) / (|a⃗||b⃗|) |
| Direction Cosines | l²+m²+n² = 1 where l = cosα, m = cosβ, n = cosγ |
| Line in 3D (symmetric) | (x−x₁)/a = (y−y₁)/b = (z−z₁)/c |
| Equation of Plane | ax + by + cz + d = 0 | Normal form: lx+my+nz = p |
| Distance Point to Plane | d = |ax₁+by₁+cz₁+d| / √(a²+b²+c²) |
| Scalar Triple Product | [a b c] = a⃗·(b⃗×c⃗) | Volume of parallelepiped |
Probability and Statistics Formulas for JEE Main — Chapter-wise PDF
Probability formulas for JEE Main cover 2–3 questions per session. Combined with Statistics (Mean, Variance, Standard Deviation), this chapter offers quick marks with relatively few formulas to memorise.
| Concept | JEE Main Maths Formula |
|---|---|
| Conditional Probability | P(A|B) = P(A∩B) / P(B) |
| Bayes' Theorem | P(Aᵢ|B) = P(Aᵢ)·P(B|Aᵢ) / Σ P(Aⱼ)·P(B|Aⱼ) |
| Binomial Distribution | P(X=r) = ⁿCᵣ pʳ qⁿ⁻ʳ | Mean = np; Variance = npq |
| Mean | x̄ = Σfᵢxᵢ / Σfᵢ |
| Variance | σ² = Σfᵢ(xᵢ−x̄)² / Σfᵢ |
| Standard Deviation | σ = √Variance |
High-Weightage JEE Main Maths Chapters — Formulas You Must Not Miss
Based on the last 6 years of JEE Main papers, these chapters have appeared in every single session. Focus your JEE Main Maths formula revision here first:
| Chapter | Questions per Session | Must-Know Formula | Chapter PDF |
|---|---|---|---|
| Integral Calculus | 3–4 questions (7–8% weightage) | Integration by Parts (ILATE); King's Property; Standard Integrals | View PDF |
| Limits, Continuity & Differentiability | 3 questions (~10% weightage) | L'Hôpital; Standard limits (sinx/x, (1+x)^1/x); Chain Rule | View PDF |
| Coordinate Geometry | 4–5 questions (15–17%) | Circle centre/radius; Conic equations; Tangent at point | View PDF |
| Matrices & Determinants | 2–3 questions (~8%) | A⁻¹ = adj(A)/det(A); (AB)ᵀ = BᵀAᵀ; Cramer's Rule | View PDF |
| 3D Geometry | 2–3 questions (~8%) | Symmetric form of line; Plane equation; Distance from point to plane | View PDF |
| Probability | 2–3 questions (~8%) | Bayes' Theorem; Binomial Distribution; Conditional Probability | View PDF |
| Complex Numbers & Quadratic Equations | 2 questions (~6–7%) | Quadratic formula; Vieta's; De Moivre's Theorem; Modulus-argument | View PDF |
| Sequences and Series | 1–2 questions (~5%) | AP/GP nth term and sum; AM-GM inequality; Sum of natural numbers | View PDF |
JEE Main Maths Revision Notes — Smart Strategy for 2026
Good revision notes save time. Instead of reopening textbooks again and again, a well-structured JEE Main Maths important formulas PDF helps you revise faster and stay focused. A sharp mathematics formula sheet for JEE Main 2026 works best in the last phase of preparation when every hour counts.
Smart Revision Tips for JEE Main Maths 2026:
| Revise Calculus formulas every morning — 11+ questions guaranteed from this unit |
| Use flashcards for Trigonometry identities and Coordinate Geometry standard results |
| Write Algebra formulas (Binomial, Matrices, P&C) by hand — writing activates motor memory |
| Solve 5 PYQs after revising each chapter's JEE Main Maths formulas |
| Use spaced repetition: revise formulas on Day 1, Day 3, Day 7, Day 14 before the exam |
| Maintain one handwritten JEE Main Maths formula notebook — covers Class 11 + Class 12 |
| On exam day, write key formulas on rough sheet at the start to activate recall |
Priority Revision Order — JEE Main Maths Formulas 2026:
| Day 1–2: Calculus — Limits, Differentiation, Integration (use chapter PDFs from hub above) |
| Day 3–4: Coordinate Geometry — Straight Lines, Circles, Parabola, Ellipse, Hyperbola |
| Day 5: Algebra — Quadratic, Complex Numbers, Binomial, Sequences (AP/GP) |
| Day 6: Vectors, 3D Geometry, Matrices, P&C, Probability |
| Day 7: Full JEE Main Maths formula sheet review + 1 mock test + review wrong answers |
Common Mistakes to Avoid in JEE Main Maths 2026
Many students lose marks in JEE Main Maths not because they don't know the concepts, but because of formula confusion or recall gaps during the exam.
| Mixing up integration and differentiation standard results — revise both together daily |
| Forgetting the +C (constant of integration) in indefinite integrals — costs 4 marks directly |
| Confusing nPr with nCr in Permutations and Combinations — read the question carefully |
| Getting the sign wrong in conic section eccentricity (ellipse vs hyperbola: c²=a²−b² vs a²+b²) |
| Memorising trigonometric values without understanding quadrant sign rules — causes half of trig errors |
| Not applying the King's Property in definite integrals — misses the fastest solution path |
| Skipping Probability and Mathematical Reasoning — these are the easiest 2–3 marks in the paper |
How to Use This JEE Main Maths Formula Guide for 2026
Use this JEE Main Maths formula sheet in parts. Don't try to cover all 17 chapters in one sitting. Revise chapter-by-chapter, apply formulas through PYQs, and note every gap. Consistency in JEE Main Mathematics formula revision matters more than intensity in one session.
| Open the relevant chapter PDF from the Formula Hub above before solving any PYQs from that chapter |
| Revise JEE Main Maths important formulas for Calculus and Coordinate Geometry every morning |
| Practice Algebra and Trigonometry formulas at night — these need shorter but more frequent revision cycles |
| After every mock test, identify which JEE Main Maths formulas you couldn't recall — revisit those PDFs |
| Target 150–200 core JEE Main Maths formulas across all chapters for 90+ marks in Mathematics |
FAQs — JEE Main Maths Formulas 2026
Frequently asked questions about JEE Main Maths formula sheets, chapter-wise PDFs, and the best way to revise important Mathematics formulas for JEE Main 2026.
Q1. Which are the most important chapters for JEE Main Maths formulas 2026?
The most important chapters for JEE Main Maths formulas are Calculus (40% weightage — Limits, Differentiation, Integration, Application of Derivatives), Coordinate Geometry (17% — Circles, Conics, Straight Lines), and Algebra (30% — Complex Numbers, Matrices, Sequences, Binomial, P&C). Together these three areas account for 65–70% of total marks. Start your JEE Main Maths formula revision with these chapters using the chapter-wise PDFs in the Formula Hub above.
Q2. How many formulas should I memorise for JEE Main Maths?
You need approximately 150–200 core JEE Main Maths formulas across all chapters. However, the top 50 most-repeated formulas from Calculus, Coordinate Geometry, and Algebra can by themselves secure 36–40+ marks. Focus on base formulas first — many results are derived from a handful of fundamental JEE Main Mathematics formulas. Understanding the derivation reduces your memory load significantly.
Q3. Is NCERT enough for JEE Main Maths formulas?
NCERT covers all the base concepts and standard results included in the JEE Main Maths formula sheet. However, for JEE-level application and problem-solving, you need additional practice beyond NCERT. Use the chapter-wise JEE Main Maths formula PDF links in the Formula Hub on this page for quick revision, and supplement with PYQ practice.
Q4. Can formula sheets really help in last-minute JEE Main Maths preparation?
Yes — a compact JEE Main Maths formula sheet PDF is the most effective last-minute tool. In the final 48–72 hours, you should not be re-reading full chapters. A single read-through of the complete important JEE Main Maths formulas sheet activates recall, fills micro-gaps, and significantly reduces exam anxiety. Use the chapter PDFs from the Formula Hub above for this final review.
Q5. Are these JEE Main Maths formula sheets aligned with the 2026 NTA syllabus?
Yes. All JEE Main Maths formulas on this page and in the linked chapter-wise PDFs are prepared from the Aakash Rapid Revision Formula Bank, strictly aligned with the NTA JEE Main Maths syllabus 2026. The JEE Main Maths syllabus 2026 covers Class 11 and Class 12 topics — all included in this JEE Main Mathematics formula sheet.
Q6. What is the best way to memorise JEE Main Maths formulas?
The five most effective methods: (1) Write formulas by hand — motor memory improves recall by 40%. (2) Spaced repetition — revise on Day 1, Day 3, Day 7, Day 14 before the exam. (3) Solve a problem using the formula immediately after learning it. (4) Group related JEE Main Maths formulas (e.g., all conic section tangent equations together). (5) Review your formula notebook before sleeping — sleep consolidates memory. These strategies apply to all important JEE Main Maths important formulas from Calculus to Probability.
Q7. Are Physics and Chemistry formula sheets also available on this page?
Yes. The Formula Hub at the top of this page includes chapter-wise JEE Main Physics formula sheets (17 chapters from Kinematics to Electronic Devices) and JEE Main Chemistry formula sheets (23 chapters from Mole Concept to Coordination Compounds). Click the Physics or Chemistry tab in the Formula Hub to access all chapter PDFs — prepared from the same Aakash Rapid Revision Formula Bank.
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