CBSE · Class 12

Mathematics

12 chapters · All formulas with solved examples

Class 12 Maths: Relations & Functions, Inverse Trig, Matrices, Determinants, Continuity & Differentiability, Application of Derivatives, Integrals, Application of Integrals, Differential Equations, Vectors, 3D Geometry, Linear Programming and Probability. Integrals and Vectors dominate the formula count.

12 chapters · 172 formulas · Free · Print-ready

Complete Mathematics formula sheet (PDF) →

Relations and Functions

Empty and universal relations, reflexive, symmetric and transitive relations, equivalence relations and classes, one-one, onto and bijective functions — NCERT Class 12 Maths Ch 1

15 formulas

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Inverse Trigonometric Functions

Domains, ranges and principal value branches of the six inverse trigonometric functions, principal values, and evaluating expressions such as sin⁻¹(sin x) — NCERT Class 12 Maths Ch 2

18 formulas

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Matrices and Determinants

Matrix algebra, transpose, determinants, minors, cofactors, adjoint, inverse, system of linear equations — NCERT Class 12 Maths Ch 3 & 4

14 formulas

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Continuity and Differentiability

Continuity, differentiability, chain rule, product rule, quotient rule, implicit and logarithmic differentiation — NCERT Class 12 Maths Ch 5

14 formulas

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Application of Derivatives

Tangents, normals, rate of change, monotonicity, maxima and minima, optimisation — NCERT Class 12 Maths Ch 6

12 formulas

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Integrals

Indefinite and definite integrals, standard forms, substitution, integration by parts, partial fractions — NCERT Class 12 Maths Ch 7

14 formulas

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Application of Integrals

Area under simple curves using vertical and horizontal strips, regions below the x-axis, and areas of circles, ellipses and parabolic regions in standard form — NCERT Class 12 Maths Ch 8

13 formulas

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Differential Equations

Order and degree, general and particular solutions, and solving first-order first-degree equations by separating variables, the homogeneous substitution y = vx and the integrating factor — NCERT Class 12 Maths Ch 9

16 formulas

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Vector Algebra

Vectors in 3-D, dot product, cross product, scalar triple product, projection, direction cosines — NCERT Class 12 Maths Ch 10

14 formulas

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Three Dimensional Geometry

Direction cosines and direction ratios, vector and Cartesian equations of a line, angle between two lines, and shortest distance between skew and parallel lines — NCERT Class 12 Maths Ch 11

17 formulas

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Linear Programming

Objective function, constraints, feasible and infeasible regions, bounded and unbounded regions, and the corner point method for two-variable problems — NCERT Class 12 Maths Ch 12

13 formulas

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Probability

Conditional probability, multiplication rule, Bayes' theorem, independence, random variables, binomial distribution — NCERT Class 12 Maths Ch 13

12 formulas

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Mathematics Class 12 — Frequently asked

How many Mathematics formulas are in Class 12 CBSE?+

12 chapters covering roughly 172 core formulas — all listed with derivations and solved examples.

Are these Mathematics formulas aligned to the 2025-26 syllabus?+

Yes. Every chapter follows the current CBSE Class 12 syllabus for the 2026 board exam.

Can I download the Mathematics formula sheet as PDF?+

Yes. Open the complete Mathematics formula sheet (all chapters on one printable page) or any chapter's formula sheet, press Print / Save PDF and choose "Save as PDF". Every formula comes with its symbols, units and a short hint.