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Tamil Nadu Board Class 12 Mathematics — Formula Sheet

Tamil Nadu Board Class 12 Mathematics formula sheet, chapter by chapter — 67 formulas across 11 chapters. Follows the TN DGE syllabus.

How to Use the Formula Sheet

  1. Write, don't just read — writing each formula out helps it stick.
  2. Understand the derivation — you can rebuild a formula you half-remember.
  3. Group related formulas — link the ones that build on each other.
  4. Test yourself — cover the sheet and write the formulas from memory.

Chapter-Wise Formulas — 11 Chapters

1

Applications of Matrices and Determinants

2 entries
System AX = B has unique solution X = A⁻¹B
Δ = determinant of coefficient matrix
The full Applications of Matrices and Determinants formula sheet
2

Applications of Differential Calculus

7 entries
Normal line is perpendicular to tangent, so slope of normal = -1/f'(a)
Rolle's Theorem: If f continuous on [a,b], differentiable on (a,b), and f(a) = f(b), then ∃ c ∈ (a,b) where f'(c) = 0
Lagrange's MVT: If f continuous on [a,b] and differentiable on (a,b), then ∃ c ∈ (a,b) where f'(c) = [f(b) - f(a)]/(b - a)
Maclaurin series is Taylor series with a = 0, expands function in powers of x
Taylor series: f(x) = Σ[f⁽ⁿ⁾(a)/n!]·(x-a)ⁿ = f(a) + f'(a)(x-a) + f''(a)(x-a)²/2! + ...
The full Applications of Differential Calculus formula sheet
3

Complex Numbers

8 entries
The imaginary unit i is defined by i² = -1
Powers of i follow a cyclic pattern: i¹ = i, i² = -1, i³ = -i, i⁴ = 1
Additive identity: 0 = 0 + 0i
Multiplicative identity: 1 = 1 + 0i
Modulus of z = x + iy is |z| = √(x² + y²)
The full Complex Numbers formula sheet

8 more chapters below

Formula sheets for all 11 chapters with formulas.

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Frequently Asked Questions

Where can I find Tamil Nadu Board Class 12 Mathematics Formula Sheet?

This page has formula sheet for 11 chapters of Tamil Nadu Board Class 12 Mathematics for the board exams 2027. Each chapter links to its own page with the full set.

Go through the syllabus first, then work chapter by chapter: learn the ideas, practise questions, and revise with notes and flashcards. Leave time at the end to revise every chapter once more under timed conditions.

Learn the formulas you use most first, and understand what each symbol means so you can apply them. Knowing where a formula comes from helps you rebuild it if you forget it in the exam.

Browse Formula Sheet by Chapter

11 chapters

1

Applications of Matrices and Determinants

2

Applications of Differential Calculus

3

Complex Numbers

4

Differentials and Partial Derivatives

5

Theory of Equations

6

Applications of Integration

7

Inverse Trigonometric Functions

8

Ordinary Differential Equations

9

Two Dimensional Analytical Geometry-II

10

Probability Distributions

11

Applications of Vector Algebra

More Mathematics Resources

Tamil Nadu Board Class 12

Practice Quiz

Test yourself with quick quizzes

Important Questions

Exam-style questions with answers

Revision Notes

Key concepts and quick revision points

Chapter Summary

Understand each chapter at a glance

Concept Maps

Diagrams showing how topics connect

Flashcards

Quick-fire cards for active recall practice

Syllabus

Chapter list and the topics in each

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