Maharashtra State Board · Class 12

Mathematics· गणित

15 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.

15 chapters · 206 formulas · Free · Print-ready

Complete Mathematics formula sheet (PDF) →

Mathematical Logic

Statements, logical connectives, truth tables, tautology, logical equivalence, duality, negations and algebra of statements — Maharashtra HSC Maths Part I Ch 1

Part I · 18 formulas

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Matrices and Determinants

Matrix algebra, determinants, adjoint, inverse, system of linear equations — Maharashtra HSC Maths Part I Ch 2

Part I · 12 formulas

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Trigonometric Functions

Trigonometric equations and general solutions, polar co-ordinates, solution of a triangle (sine, cosine and projection rules, half-angle formulas) and inverse trigonometric functions — Maharashtra HSC Maths Part I Ch 3

Part I · 18 formulas

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Pair of Straight Lines

Combined equation of two lines, homogeneous equation of degree two, sum and product of slopes, angle between the lines and the condition for a general second-degree equation to represent a pair of lines — Maharashtra HSC Maths Part I Ch 4

Part I · 14 formulas

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Vectors and Three-Dimensional Geometry

Vector algebra, dot product, cross product, scalar triple product, lines and planes in 3D — Maharashtra HSC Maths Part I Ch 5 & 6

Part I · 12 formulas

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Line and Plane

Vector and Cartesian equations of a line, distance of a point from a line, skew and parallel lines, equations of a plane, angles between lines and planes, coplanarity and distance of a point from a plane — Maharashtra HSC Maths Part I Ch 6

Part I · 16 formulas

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Linear Programming

Linear inequations in two variables, formulation of a linear programming problem, feasible region and the graphical corner-point method — Maharashtra HSC Maths Part I Ch 7

Part I · 12 formulas

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Differentiation

Derivatives of composite, implicit, parametric, logarithmic functions — Maharashtra HSC Maths Part II Ch 1

Part II · 11 formulas

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Applications of Derivatives

Rate of change, increasing/decreasing, tangents, normals, maxima, minima — Maharashtra HSC Maths Part II Ch 2

Part II · 12 formulas

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Integration

Indefinite integration, substitution, partial fractions, by parts, definite integrals — Maharashtra HSC Maths Part II Ch 3 & 4

Part II · 12 formulas

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Definite Integration

Definite integral as a limit of a sum, the fundamental theorem of integral calculus, properties of definite integrals and methods of evaluation — Maharashtra HSC Maths Part II Ch 4

Part II · 15 formulas

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Application of Definite Integration

Area under a curve, area bounded by a curve and the y-axis, area between two curves, and standard areas of the circle, ellipse and parabola — Maharashtra HSC Maths Part II Ch 5

Part II · 13 formulas

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Differential Equations

Order and degree, formation of differential equations, variable separable, homogeneous and linear equations, and applications to growth, decay and Newton's law of cooling — Maharashtra HSC Maths Part II Ch 6

Part II · 15 formulas

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Probability Distributions

Conditional probability, Bayes theorem, random variables, binomial distribution — Maharashtra HSC Maths Part II Ch 7 & 8

Part II · 12 formulas

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Binomial Distribution

Bernoulli trials, the binomial distribution B(n, p), its probability formula, and the mean, variance and standard deviation of a binomial variable — Maharashtra HSC Maths Part II Ch 8

Part II · 14 formulas

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Mathematics Class 12 — Frequently asked

How many Mathematics formulas are in Class 12 Maharashtra State Board?+

15 chapters covering roughly 206 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 Maharashtra State Board 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.