• NCERT Solutions Class 12 Math

Chapter-Wise Class 12 Maths NCERT Solutions (Part I & II)

If you are looking for the most accurate and detailed Class 12 Maths NCERT Solutions PDF, then Veda Academy is the best place to download it for free.

Our NCERT Solutions for Class 12 Maths provide complete step-by-step answers for every chapter, helping students build a strong foundation in all key topics of the CBSE Class 12 Maths syllabus.

Each solution includes clear explanations of important formulas, theorems, and concepts, making it easier for students to understand and score well in exams.

After finishing your NCERT Books, you should practice with helpful resources like notes, PYQs, sample papers, model papers, mock tests and important questions. 

Download Class 12 Maths Part (I & II) NCERT Solutions Chapter Wise

We provide authentic NCERT Solutions for class 12 Maths. We focus on quality content that helps students to score well in their exam. By clicking on these links, you can download class 12 Maths chapter wise NCERT Solutions.


Class 12 Maths Part I - II NCERT Solutions

Sr.No

Chapters 

Links 

Part 1

1

Chapter 1: Relations and Functions

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2

Chapter 2: Inverse Trigonometric Functions

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3

Chapter 3: Matrices

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4

Chapter 4: Determinants

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5

Chapter 5: Continuity and Differentiability

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6

Chapter 6: Applications of derivatives

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Part 2

7

Chapter 7: Integrals

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8

Chapter 8: Application of Integrals

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9

Chapter 9: Differential Equation

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10

Chapter 10: Three Dimensional Geometry

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11

Chapter 11: Linear Programming

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12

Chapter 12: Probability

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Detailed Overview of Class 12 NCERT Solutions Chapter Wise 

Our detailed NCERT Solutions Class 12 helps students to understand each topic easily and prepare well for exams.


Chapter 1: Relations and Functions: Relations and Functions in Class 12 Maths teaches students about different types of relations and functions. It helps them understand how to represent and interpret functions using graphs. This chapter builds a strong base for advanced topics in calculus, algebra, and other parts of mathematics studied later in Class 12.

Chapter 2: Inverse Trigonometric Functions: In CBSE Class 12 Inverse Trigonometric Functions, there are two exercises that teach about the domain and range restrictions of trigonometric functions. 

These help students understand how inverse functions work and how they look on graphs.

Inverse trigonometric functions are very important in calculus, as they are used to define many integrals and have wide applications in science and engineering.

Chapter 3: Matrices: This chapter covers basic matrix operations like addition, subtraction, multiplication, and scalar multiplication. 

These concepts are widely used in fields like computer graphics, quantum mechanics, and economics. Matrices also help in solving systems of linear equations easily and systematically.

Chapter 4: Determinants: The determinants chapter has six exercises. By solving them, students learn important concepts like determinants, cofactors, minors, and the adjoint and inverse of a square matrix. They also understand how determinants are used to find the area of a triangle.

Chapter 5: Continuity and Differentiability: Continuity and Differentiability help students understand how functions behave, where they are smooth and where they have sharp turns or breaks. 

These are basic concepts in calculus and form the foundation for topics like limits, derivatives, and integrals used in physics, engineering, and economics.

Chapter 6: Applications of derivatives: In this chapter, you will learn how derivatives are used in different fields like science and engineering. You will study how to find the rate of change of quantities, and the equations of tangents and normals to a curve.

You will also learn how derivatives help find increasing and decreasing functions, as well as maximum and minimum values.

Chapter 7: Integrals: Integrals are used to find the area under curves. They are very useful in fields like physics, engineering, and economics.

For example, integrals help calculate displacement, velocity, acceleration, total distance, work done, and profit. Definite integrals give exact values for such quantities.

Chapter 8: Application of Integrals: In this chapter, you will learn how to use integrals to find the area under simple curves and the area between lines and curves like circles, parabolas, and ellipses (in standard form). There are two exercises that help you practice finding the area bounded by these curves.

Chapter 9: Differential Equation: In Differential Equations, you will learn the basic concepts of differential equations, their general and particular solutions, and how to form them. 

You will also study different methods to solve first-order, first-degree equations and understand their applications in various fields.

Chapter 10: Three Dimensional Geometry: Three Dimensional Geometry, you will learn about direction cosines and direction ratios of a line joining two points. 

You will also study equations of lines and planes in space, the angles between them, the shortest distance between two skew lines, and the distance of a point from a plane.

Chapter 11: Linear Programming: This chapter has two exercises where you will learn to solve linear programming problems using the graphical method.

You will also study concepts like the objective function, optimization, constraints, and feasible and infeasible regions in different types of linear programming problems.

Chapter 12: Probability: You will learn about conditional probability, Bayes' theorem, the multiplication rule of probability, and independent events. 

You will also study random variables, probability distributions, mean and variance, the total probability theorem, Bernoulli trials, and the binomial distribution.

How Can I Score 95+ in My Class 12 Board Exams?

Manage Your Time Well: Start with a clear study plan. Give enough time to each subject and topic. Study in short sessions and take small breaks to stay focused and fresh.

Study NCERT Books First: Most CBSE exam questions come directly from NCERT books. Read every chapter, example, and diagram carefully. After completing NCERT, you can use extra books for more practice.

Work on Your Weak Areas: Find out which topics you find difficult and practice them more. Solve previous year papers and mock tests to improve your speed, accuracy, and confidence.

Make Short Notes: While studying, prepare short notes with key points, formulas, and definitions. These help in quick revision before exams and make it easier to remember important information.

Write Answers Neatly: Present your answers clearly and in proper order. Use simple language and avoid overwriting or cutting words. A neat answer sheet leaves a good impression and helps you score higher.

Focus on High-Weightage Topics: Find out which chapters carry more marks and prepare them first. Revise these topics regularly and clear your doubts with teachers to strengthen your preparation.

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We provide complete NCERT Solutions, easy-to-understand notes, sample papers, and chapter-wise practice questions created by expert teachers.

Our study material helps students build strong concepts, revise quickly, and improve problem-solving skills. Every topic is explained in clear and simple language, making it easy to learn and remember important points.

At Veda Academy, we focus on helping students prepare smartly for exams.

Whether it’s Maths, Science, English, or Social Science, you’ll get all the support you need to perform your best. With regular tests, revision plans, and doubt-solving sessions, students can gain full confidence before the board exams.