Class 12th Applied Maths Most Important Formulas

Applied Mathematics is an essential subject for Class 12 students, combining theoretical knowledge and practical application. A strong grasp of formulas is crucial for scoring well in the board exams and excelling in competitive exams. This blog covers some of the most important formulas from various chapters of Class 12th Applied Maths to help you revise effectively and boost your preparation.

What is Class 12th Applied Maths?

Key Features of Class 12th Applied Maths

1. Practical Relevance: It emphasizes mathematical models and their use in solving business, economic, and social science problems.
2. Diverse Applications: Topics include financial mathematics, probability, statistics, calculus, and matrices tailored for practical problem-solving.
3. Interdisciplinary Approach: The subject bridges the gap between abstract mathematics and its practical applications in commerce, economics, and management.

Enroll Now For Commerce Batches

Importance of Class 12th Applied Maths Formulas

Class 12th Applied Maths Most Important Formulas

1. Calculus

Derivatives

​

Integration

Definite Integrals

2. Matrices and Determinants

Matrix Properties

Determinant Properties

​

Adjoint and Inverse of a Matrix

3. Probability and Statistics

Probability Formulas

​

Statistics Formulas

​

4. Linear Programming

Objective Function

1. Maximize / Minimize Z = ax + by, subject to constraints.

Feasibility Conditions

1. Feasible Region: Intersection of all constraints.
2. Corner Point Theorem: The optimal solution lies at the corner points of the feasible region.

5. Vectors and 3D Geometry

Vector Algebra

1. Dot Product: a ⋅ b = ∣a∣ ⋅ ∣b∣ ⋅ cos⁡θ
2. Cross Product: a × b = ∣a∣ ⋅ ∣b∣ ⋅ sin⁡θ ⋅ n

3D Geometry

1. Distance Between Two Points: ​
2. Equation of a Plane: ax + by + cz + d = 0

Tips for Memorizing and Applying Class 12th Applied Maths Formulas

Create a Formula Sheet

Why It Works: Having all formulas in one place allows quick revision, especially before exams or tests.

How to Do It: Use separate sections for different topics like calculus, statistics, matrices, and probability. Highlight the most commonly used formulas with markers or underline them to make them stand out.

Understand the Concept

Why It Works: Understanding why a formula works helps in better retention and application in tricky questions.

How to Do It: Study the theory or derivation behind the formula from textbooks or class notes. For example, understanding the concept of integration as the area under a curve can make related formulas easier to grasp.

Practice Regularly

Why It Works: Repeated practice reinforces memory and helps you identify how and when to apply specific formulas.

How to Do It: Dedicate a fixed amount of time daily to solving problems. Use practice books, past papers, and mock tests to expose yourself to various question types. Focus on weak areas and work on them consistently.

Use Flashcards

Why It Works: Flashcards engage active recall, a proven method for memory retention.

How to Do It: Carry your flashcards with you and use them during idle time, such as while commuting or during breaks. Review them periodically to reinforce memory.