Are you studying 12th-grade science, preparing for the board exam, or preparing for IIT-JEE? The mathematics subject in Class 12 is one of the toughest subjects in this class. If you learn mathematics effectively, then you need to understand the fundamentals of formulas. So, here we are providing Maths Formulas for Class 12, which you can learn easily.
The most crucial math topics in class 12 such as algebra, calculus, vectors, trigonometry, three-dimensional geometry, Matrices and Determinants, Probability and Statistics, Relations and Functions, Complex Numbers and Quadratic Equations, etc. All of these topics make it quite challenging to learn the core fundamentals. So you need to understand all the formulas first.
But most students, due to their fear of mathematics, inability to focus, and phobia of math formulas, struggle to solve math problems. So, if you want to effectively learn math, you have to have confidence first.
| Also Check: Maths Formulas for Class 11 |
Maths Formulas for Class 12 in 3D PDF Flipbook
Applications of Class 12 Maths Formulas
Math formulas for class 12 cover complex ideas with a range of uses. Here are some important formula applications: Calculus, Algebra, Vectors and 3D Geometry, Probability, Linear Programming, Relations and Functions, etc.
Syllabus of Class 12 maths
| Topic | Description |
|---|---|
| Relations and Functions | Types of relations, types of functions, composition of functions, inverse functions, binary operations |
| Algebra | Matrices, determinants, properties of determinants, solutions of linear equations, vector algebra, scalar triple product, vector product |
| Calculus – Differential Calculus | Continuity, differentiability, derivatives, mean value theorem, tangent and normals, increasing and decreasing functions |
| Calculus – Integral Calculus | Integration, definite integrals, area under curves, definite integrals as limit of sum, properties of definite integrals, application of integrals, differential equations |
| Calculus – Differential Equations | Types of differential equations, general and particular solutions, methods of solving first-order and first-degree differential equations, applications of differential equations |
| Calculus – Applications of Integrals | Calculation of areas and volumes using integration, application of definite integral as area under curve and volume of solids of revolution |
| Vector Algebra | Scalar and vector products, scalar triple product, vector triple product, angle between two vectors, coplanarity of vectors, collinearity of vectors |
| Three-dimensional Geometry | Direction cosines and ratios, distance between two points, section formula, equation of line and plane, angle between two lines, angle between line and plane, shortest distance between two lines |
| Linear Programming | Mathematical formulation of LPP, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and optimal solutions |
| Probability | Conditional probability, multiplication theorem on probability, independent events, Bayes’ theorem, random variable, probability distribution, Bernoulli trials and Binomial distribution, mean and variance of a random variable, probability density function (pdf), cumulative distribution function (cdf), distribution of sum of two independent random variables |
Conclusion
Without formulas, you can’t learn any type of mathematics, so you have to practice with the correct techniques. Some instructions you have to follow for learning math i.e. Create a Formula Sheet, Organize by Topic, Use Mnemonics, Practice Regularly, Teach Others, Create Visual Aids, Relate to Real-World Examples, Break Down Complex Formulas, Use Flashcards, etc.
FAQs for “Maths Formulas for Class 12”
1. Why are Class 12 Maths formulas important?
Answer: These formulas are crucial for advanced mathematical understanding and have diverse applications in fields such as physics, engineering, economics, and computer science.
2. How can I effectively memorize Class 12 Maths formulas?
Answer: First of all, stop fearing mathematics and be confident, then use the correct technique to learn it. And keep practicing again and again.
3. What are the practical applications of Class 12 Maths formulas?
Answer: These are applications in physics for motion analysis, engineering for optimization, economics for modeling, and computer science for algorithms and graphics.
4. Is it necessary to understand the concepts behind the formulas?
- Yes, understanding the concepts behind the formulas is essential for effective application and problem-solving. It enhances overall comprehension and retention.
5. How can technology assist in learning Class 12 Maths formulas?
- Educational apps, online resources, and digital flashcards can provide interactive learning experiences, making the memorization process more engaging and effective.