• Chapter 1 Relations and Functions
• Chapter 2 Inverse Trigonometric Functions
• Chapter 3 Matrices
• Chapter 4 Determinants
• Chapter 5 Continuity and Differentiability
• Chapter 6 Application of Derivatives
• Chapter 7 Integrals
• Chapter 8 Application of Integrals
• Chapter 9 Differential Equations
• Chapter 10 Vector Algebra
• Chapter 11 Three Dimensional Geometry
• Chapter 12 Linear Programming
• Chapter 13 Probability

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Class 12 Maths NCERT Solutions

Class 12 Maths is key in the preparation for boards as well as JEE Main and Advance, and our solutions are made keeping in mind the very same thing. The solutions are concise, and also discuss alternative methods to solve some problems. We make it a point to provide the students the best help they can get, and the solutions reflect just that.

The National Council of Educational Research and Training (NCERT) is an autonomous organization of the Government of India that was established in 1961 as a literary, scientific and charitable society under the Societies’ Registration Act (Act XXI of 1860). Its headquarters are located at Sri Aurobindo Marg in New Delhi. It sets the curriculum for all schools that follow the Central Board of Secondary Education (CBSE) across the country. Class 12 Maths NCERT Solutions is the perfect guide to help you prepare for CBSE exams as well as engineering entrances like the JEE.

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NCERT Solutions for Class 12 Maths (2023-2024) offer comprehensive guidance for every chapter, helping students excel in their board exams and competitive exams like JEE. Below is a breakdown of the NCERT Solutions for Class 12 Maths by chapter:

NCERT Solutions for Class 12 Maths Chapter 1: Relations and Functions

This chapter builds on the concepts of relations, functions, domain, and codomain from Class 11. It covers real-valued functions and their graphs, with four exercises that reinforce these concepts. These NCERT Solutions help students understand the foundations of relations and functions.

NCERT Solutions for Class 12 Maths Chapter 2: Inverse Trigonometric Functions

This chapter delves into the restricted ranges of trigonometric functions, making their inverses visible. Through two exercises, students explore inverse trigonometric functions, their graphical representations, and key properties, which are crucial for later chapters on integration.

NCERT Solutions for Class 12 Maths Chapter 3: Matrices

In this chapter, students learn about matrices, one of the most essential tools in mathematics. The solutions explain matrix basics and matrix algebra, offering a strong foundation for further exploration of linear equations and other advanced topics.

NCERT Solutions for Class 12 Maths Chapter 4: Determinants

Following the study of matrices, this chapter covers determinants, including their properties, cofactors, and inverses. The solutions explain how to calculate determinants up to order 3 and their real-world applications, such as calculating the area of triangles and solving linear equations.

NCERT Solutions for Class 12 Maths Chapter 5: Continuity and Differentiability

This chapter continues the exploration of calculus, focusing on the relationship between continuity and differentiability. The solutions cover the continuity and differentiability of inverse trigonometric functions, as well as the introduction of exponential and logarithmic functions.

NCERT Solutions for Class 12 Maths Chapter 6: Applications of Derivatives

This chapter dives deeper into calculus, covering the applications of derivatives. Students learn about tangents and normals to curves, rate of change, and increasing and decreasing functions, all essential topics for higher-level mathematics.

NCERT Solutions for Class 12 Maths Chapter 7: Integrals

As one of the most crucial chapters in Class 12 Maths, this chapter introduces integral calculus. The solutions guide students through the integration of functions and its applications, including area calculations. With 11 exercises, this chapter emphasizes practice and mastery of integral calculus.

NCERT Solutions for Class 12 Maths Chapter 8: Applications of Integrals

This chapter focuses on the practical applications of integrals, specifically in calculating areas under curves, lines, parabolas, and ellipses. The two exercises provide ample opportunities for practice in these key areas.

NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations

Students are introduced to differential equations in this chapter, learning about general and particular solutions, as well as the order and degree of equations. The solutions also cover the real-world applications of differential equations through six comprehensive exercises.

NCERT Solutions for Class 12 Maths Chapter 10: Vector Algebra

This chapter covers vector quantities, which have both magnitude and direction. The solutions explain vector algebra, including the rules for adding vectors and other essential properties, which are highly relevant in physics and other fields.

NCERT Solutions for Class 12 Maths Chapter 11: Three-Dimensional Geometry

Building on vector algebra, this chapter explores three-dimensional geometry, focusing on calculating distances between lines, points, and planes, as well as angles between them. The concept of direction cosines is also introduced.

NCERT Solutions for Class 12 Maths Chapter 12: Linear Programming

This chapter introduces students to linear programming problems and their solutions using graphical methods. The solutions provide a clear, step-by-step approach to solving these problems.

NCERT Solutions for Class 12 Maths Chapter 13: Probability

This chapter covers conditional probability, Bayes’ Theorem, the multiplication rule, and the independence of events. The solutions emphasize the importance of practicing these concepts through a variety of problems.

We hope these NCERT Solutions for Class 12 Maths enhance your learning experience. You can download the solutions by clicking on the links provided above. Happy studying!