Class 12 Maths Formulas List | Chapter-Wise Formula List CBSE
Table of Contents
Class 12 Maths Formulas – Complete Chapter-Wise Formula List (CBSE)
Mathematics is a scoring subject in Class 12 CBSE if students remember formulas clearly and know where to apply them. This article provides a chapter-wise list of important Class 12 Maths formulas, explained in a simple format for fast revision before exams.
Whether you are preparing for CBSE Board Exams 2026, school tests, or competitive exams, this Class 12 maths formula sheet will help you revise efficiently and boost confidence.
CBSE Class 12 Maths Syllabus Overview (Quick)
| Details | Information |
|---|---|
| Subject | Mathematics |
| Class | 12 |
| Board | CBSE |
| Exam Level | Board + Competitive |
| Useful For | Boards, JEE, CUET |
1. Relations and Functions – Important Formulas
| Topic | Formula |
|---|---|
| Composite Function | (f ∘ g)(x) = f(g(x)) |
| Inverse Function | f(f⁻¹(x)) = x |
| One-one Function | f(a) = f(b) ⇒ a = b |
Tip: Questions are mostly concept-based, so understand definitions well.
2Inverse Trigonometric Functions – Key Formulas
| Formula |
|---|
| sin⁻¹x + cos⁻¹x = π/2 |
| tan⁻¹x + cot⁻¹x = π/2 |
| sin⁻¹x + sin⁻¹y = sin⁻¹(x√(1−y²) + y√(1−x²)) |
Matrices – Must-Remember Formulas
| Topic | Formula |
|---|---|
| Transpose | (AB)ᵀ = BᵀAᵀ |
| Inverse | A⁻¹ = adj(A) / |
| Identity Matrix | AI = IA = A |
Determinants – Important Formulas
| Topic | Formula |
|---|---|
| Area of Triangle | ½ |
| Solution of Equations | X = adj(A)B / |
| Condition |
Continuity and Differentiability – Core Formulas
| Function | Derivative |
|---|---|
| d/dx (xⁿ) | nxⁿ⁻¹ |
| d/dx (sin x) | cos x |
| d/dx (cos x) | −sin x |
| d/dx (eˣ) | eˣ |
Applications of Derivatives – Important Results
| Application | Formula |
|---|---|
| Increasing Function | dy/dx > 0 |
| Decreasing Function | dy/dx < 0 |
| Maxima/Minima | dy/dx = 0 |
Integrals – Standard Formulas
| Integral | Result |
|---|---|
| ∫xⁿ dx | xⁿ⁺¹/(n+1) + C |
| ∫sin x dx | −cos x + C |
| ∫cos x dx | sin x + C |
| ∫eˣ dx | eˣ + C |
Applications of Integrals – Key Formula
| Topic | Formula |
|---|---|
| Area Under Curve | ∫ₐᵇ f(x) dx |
Differential Equations – Formulas
| Type | Formula |
|---|---|
| Variable Separable | dy/dx = g(x)h(y) |
| General Solution | ∫dy/h(y) = ∫g(x)dx |
Vector Algebra – Important Formulas
| Topic | Formula |
|---|---|
| Magnitude | |
| Dot Product | a·b = |
| Cross Product |
Three Dimensional Geometry – Key Formulas
| Concept | Formula |
|---|---|
| Distance | √[(x₂−x₁)²+(y₂−y₁)²+(z₂−z₁)²] |
| Direction Cosines | l²+m²+n² = 1 |
| Equation of Line | r = a + λb |
Linear Programming – Important Condition
-
Objective Function → Maximize or Minimize
-
Constraints → Linear inequalities
-
Solution lies at corner points
Probability – High-Scoring Formulas
| Formula |
|---|
| P(A∩B) = P(A)P(B) |
| P(A |
| Bayes’ Theorem: P(A |
Smart Tips to Remember Class 12 Maths Formulas
✔ Revise formulas daily for 15 minutes
✔ Create a formula notebook
✔ Practice previous year questions
✔ Understand derivations for better memory
✔ Focus more on Calculus & Probability
Conclusion
This Class 12 Maths formula guide is designed to help CBSE students revise faster, understand better, and score higher. Mastering these formulas can make Mathematics one of the easiest subjects to score well in board exams and competitive tests.
Save this page for last-minute revision before exams.
Click Here to Know More about CBSE Class 12 Maths Last Minute Revision 2026 – Easy Overview to Pass Board Exam Details: https://dekhocampus.com/news/cbse-class-12-maths-last-minute-revision-2026
FAQs (Frequently Asked Questions)
Yes. If you remember all Class 12 Maths formulas and practice NCERT + previous year questions, you can easily pass the CBSE Maths board exam. Most questions are directly based on formulas, especially in Calculus, Matrices, and Probability.
Yes. NCERT textbook formulas are fully sufficient for CBSE board exams. Most board questions are directly framed from NCERT examples and exercises.
There are around 120–150 important formulas in Class 12 Maths. You don’t need to mug up everything—understand the usage of formulas, especially in Calculus and Algebra, for better retention.
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