Class 12 Maths Formulas​ Free PDF Download

Math formula makes the problem-solving process much easier. Therefore, our Math experts have prepared class 12 Maths formulas PDF for all important chapters. With the help of Maths formulas for class 12 PDF free download​ links, you can access the PDF file and download them on your smartphone to use anytime.

The class 12 Maths formula sheet PDF can be used for multiple purposes, such as — revision and practice questions. Furthermore, it’s crucial to understand that the same formula sheet is helpful for competitive examinations such as JEE, CUET, and more.

Class 12 Maths All Formulas Chapter Wise​

Every single chapter of class 12 Maths has certain formulas you need to understand and remember to better solve the questions. In this section, you will find class 12 Maths formulas for all chapters — Continuity and Differentiability to Mensuration. These class 12 Maths all formulas​ are important to successfully solve challenging problems, so ensure you include them in your regular studies and revision.

1. Continuity and Differentiability Formulas

This topic includes rules or formulas for checking continuity and differentiability, along with derivatives of functions like logarithmic, exponential, and trigonometric functions. With the help of the class 12 Maths formula sheet PDF, you will find formulas for these subtopics: Continuity, Discontinuity, several theorems, differentiability, chain rules, some properties of the logarithmic function, some standard derivative, logarithmic differentiation, a derivative of functions in parametric forms, second order derivative, Rolle's theorem etc. The Continuity and Differentiability Formulas PDF helps you cover all the important formulas you need to solve class 12 Continuity and Differentiability questions.

2. Application of Derivatives Formulas

With the help of formulas you learn for the Application of Derivatives, you can solve the questions based on finding the rate of change of quantities, determining maxima and minima, tangents and normals to curves, and using approximations in real-world problems.

3. Integrals Formulas

The chapter integrals cover the process of integration. When you access the class 12 Maths formulas PDF, you get a set of formulas that includes formulas for integration, Integrals of some particular functions, Integration by partial fraction, fundamental theorem of calculus, definite integrals, and more.

4. Applications of Integrals Formulas

The chapter Applications of Integrals focuses on using integrals to compute areas under curves, between two curves, and volumes of objects. You must master this topic and its formulas because this topic is useful in physics, economics, and engineering applications.

5. Three Dimensional Geometry Formulas

Learning the formulas of Three-Dimensional Geometry enables you to solve the questions on these equations: equations of planes, straight lines, and spheres, as well as the shortest distance between skew lines and angles between planes.

6. Sets, Relations, Functions & Binary Operation Formulas

Sets, Relations, Functions, & Binary Operations cover Set theory, Relations, Functions, and Binary operations. With the help of our Class 12 Maths formula sheet PDF, you can access the formulas that enable you to answer all kinds of questions on this topic.

7. Complex Number Formulas

With the help of Class 12 Maths formulas PDF for Complex Number, you learn about the formulas that help you in performing arithmetic operations on complex numbers, finding their modulus and argument, and expressing them in polar or exponential forms.

8. Quadratics Equations Formulas

The Quadratics Equations formulas help you solve quadratic equations using factorisation, completing the square, and the quadratic formula, along with relationships between roots and coefficients.

9. Sequence And Series Formulas

By learning about the sequence and series formula, you learn to deal with arithmetic, geometric, and harmonic sequences and series. There are sum formulas and properties of infinite series too.

10. Permutation and Combination Formulas

The Permutation and Combination formulas enable you to determine the number of ways elements can be arranged, also known as permutations or selected, aka. combinations in different scenarios.

11. Binomial Theorem Formulas

Using the Binomial Theorem formulas, you learn to expand expressions of the form (a+b)n using binomial coefficients in a systematic manner.

12. Exponential and Logarithmic Series Formulas

The Exponential and Logarithmic Series formulas help you express exponential and logarithmic functions as infinite series. These expansions are useful for approximations and in calculus.

13. Trigonometric Functions Formulas

In Trigonometric Functions formulas, you find fundamental identities, sum and difference formulas, double and half-angle formulas, and product-to-sum transformations. The Maths class 12 formula sheet PDF​ helps you access all the Trigonometric Functions formulas in detail.

14. Inverse Trigonometric Functions Formulas

The Inverse Trigonometric Functions formulas describe inverse trigonometric functions and provide identities useful for simplifications and integration.

15. Solution and Triangles Formulas

With the help of Solution and Triangles formulas PDF, you get access to formulas that help you solve triangles using sine and cosine rules, area formulas, and properties of special triangles.

16. Cartesian Functions of Rectangular Coordinates Formulas

The topic Cartesian Functions of Rectangular Coordinates explains relationships between points, lines, and curves in the Cartesian coordinate system.

17. The Straight Line Formulas

The Straight Line Formulas provide equations of lines in different forms and conditions for parallelism and perpendicularity.

18. Family of Lines Formulas

Family of Lines formulas explain different sets of lines, equations of angle bisectors and lines passing through fixed points. 

19. Circles and Family of Circles Formulas

Through the Circles and Family of Circles formulas, you learn to solve equations of circles, tangents, and common chord relations between two circles.

20. Conic Section Formulas

In Conic Section formulas, you get equations and properties of parabolas, ellipses, and hyperbolas from different orientations.

21. Frequency Tables Formulas

The Frequency Tables formulas are related to mean, median, mode, and standard deviation based on frequency distributions.

22. Linear Programming Formulas

The Linear Programming formulas help you optimise questions based on constraints and objective functions. Such problems are often solved using graphical or simplex (a technique for solving linear programming problems) methods.

23. Probability Formulas

With the help of Probability formulas, you get formulas for basic probability rules, conditional probability, Bayes' theorem, and distributions such as binomial and normal.

24. Vector Algebra Formulas

The Vector Algebra formulas enable you to do vector operations, dot and cross products, equations of lines and planes, and their applications in geometry.

25. Functions, Limits and Continuity Formulas

The formulas of this section help you deal with properties of functions, limit calculations, continuity conditions, and L'Hôpital’s rule.

26. Differentiation of Their Application Formulas

The formulas of Differentiation and Their Application assist you in covering derivative rules, applications in finding tangents, rates of change, and optimization problems.

27. Indefinite and Definite Integral Formulas

Integral formulas, integration techniques, and applications like areas under curves are covered with the help of indefinite and definite integral formulas.

28. Differential Equations Formulas

The formulas of Differential Equations define different types of differential equations and methods of solving them. The detailed formulas are mentioned in the class 12 Maths formula PDF.

29. Matrices and Determinants Formulas

Using the formulas of Matrices and Determinants, you learn to solve matrix operations, answer questions based on determinant properties, use inverse matrices, and find solutions to linear equations using matrices.

30. Mensuration Formulas

Mensuration covers the measurement of geometric figures — cubes, spheres, cylinders, and cones. The mensuration formula helps you measure the areas, volumes, and surface areas of the geometric figures.

Procedure to Get the Maths Formulas for Class 12 PDF Free Download from SelfStudys

​You need to follow the below-mentioned process step by step for access to Maths formulas for class 12 PDF free download​ from our website. 

• The main page of our platform will be available on your screen by typing www.selfstudys.com on any web browser. 

• Once there, you have to click on the ‘Navigation’ tab from various other elements. 

• With this click, you will be able to access all our main categories. Here, you should select the ‘CBSE’ section. 

• By selecting this section, you can check out the CBSE-related study materials and click on the ‘Formula Class Wise’ option. 

• Then, you will be directed to a new page where you get to choose your class. 

• After choosing your class, you can go through the list of subjects and select the class 12 Maths formula sheet.

• Now, all the chapters for the class 12 Maths formula sheet PDF will open up and you can select any. 

• You can then view your selected chapters’ Maths class 12 formula sheet PDF​ in normal or HD quality. 

• Finally, you may study the Maths formula sheet class 12​ online or download the file. 

Note: The class 12 Maths all formulas​ PDF will only be downloaded once you Log In or Sign Up with your Gmail ID on SelfStudys. 

3 Mistakes to Avoid When Using Class 12 Maths Formula Sheet PDF

There are some common mistakes students make when using Class 12 maths formulas; this section discusses three mistakes you can easily avoid.

1. Misunderstanding Formulas: Mistakes in understanding the derivation or application of a maths formula can lead you to use them incorrectly in solving a problem. And this is a mistake many learners make. They try to memorise class 12 Maths formulas without understanding their stepwise derivation or methods to use them in a problem.

2. Inconsistent Units: The questions based on measurements require students to use proper units; however, many students often mix different units without proper conversion, which can mislead the final results.

3. Ignoring Restrictions on Formulas: Some formulas have specific conditions under which they apply, e.g., square roots. To understand this, let’s take an example to see what happens when the restriction is overlooked:

The example mentioned in the above image showcases an error in step 3 that a and b can’t both be negative. When solving a class 12 maths question, ignoring this kind of restriction can cause some serious problems in the final outcome, as the above example shows.

Methods to Memorise Class 12 Maths Formulas Faster

Here are 6 solid methods that can help you memorise class 12 Maths formulas faster.

1. Understand the Concept Behind the Formula

Rote learning is temporary. You may have a good memory power that can help you memorise class 12 Maths all formulas​ in one go, but you may easily forget them. Therefore, understand the logic behind a formula and try to understand why the formula works. It will help you retain the information longer. To understand this better, let’s take an example: 

To learn or remember the derivative formula d/dx(xn) = nxn-1, try to understand how differentiation reduces the power of 𝑥.

2. Use Mnemonics and Memory Tricks

Mnemonics help in memorising complex maths formulas using simple words or phrases. Let’s understand this with an example.

Example: Use the ILATE Rule to decide which function to differentiate first in integration by parts: Inverse, Logarithm, Algebraic, Trigonometric, Exponential.

3. Write and Repeat

The more you write formulas, the better you remember. Instead of just reading them, write down the formulas multiple times on a sheet and revise them daily. Writing the Class 12 Maths formulas repeatedly will make it easier for you to recall them later.

4. Practice Problems

One of the best methods to memorise maths formulas is to apply them to real problems. You can use Class 12 Previous year question papers and sample papers to practice formulas. The more math problems you solve, the better you will remember the formulas. 

5. Use Visual Aids (Charts & Mind Maps)

A formula chart or sticky notes on your study table can help you with quick revision. You can use Class 12 Maths mind maps to see interconnected similar formulas, like all differentiation formulas in one branch integration in another. Visual exposure helps you improve your memory. As a result, you memorise important formulas much easier and faster and retain them longer.

6. Revise Before Sleeping 

We recommend recalling at least 5 formulas every night before sleeping. This method works because when you are asleep, the brain tries to recall the information and create a neural network or mental image based on the last information you have observed before sleeping.

Conclusion

Memorising and understanding the Class 12 Maths formulas is crucial for scoring higher in Class 12 Mathematics. Regular practice and application of class 12 formulas in problem-solving will help you gain confidence and accuracy in the Maths examination. Keep revising important formulas and apply them to various problems to enhance your mathematical skills.