NCERT Solutions for Chapter 1 Relations and Functions Class 12 Maths is now available on MSVgo. It covers extensive topics under the chapter “Relations and Functions”, enabling students to gain a deeper understanding of certain fundamental topics. Detailed, step-by-step solutions are provided for the exercise questions, which will come in handy if the student is stuck at any time while solving a problem. Solving questions from the Class 12 Maths NCERT Solutions ensures that the students’ learning is aligned with the curriculum, therefore preparing them well for the exams. Going through the Class 12 Maths Chapter 1 Solutions not only aids in the thorough understanding of the chapter, but also boosts the students’ confidence in their knowledge of the subject matter. Topics Covered in Relations and Functions for CBSE Class 12: 1. Types of Relations 2. Types of Functions 3. Composition of Functions and Invertible Function 4. Binary Operations

NCERT Solutions has introduced Inverse Trigonometric Functions Class 12 for helping students become perfect in calculus before appearing for the final class 12 exams. Listed here are topics prepared by various math experts to help keep students updated with the current curriculum of the CBSE Board. Among these topics is Inverse Trigonometric Functions Ncert Solutions. Keeping the requirements of the CBSE board in mind, Chapter 2 Inverse Trigonometric Functions Class 12 covers the several formats of calculus to find integrals. Now, other than the direct application in mathematics, inverse trigonometric functions find application in fields like science and engineering. Inverse Trigonometric Functions Ncert Solutions will introduce students to various aspects, restrictions and radians of the inverse angle typically associated with certain main operations. Found anywhere between the standard scientific or graphing calculator, Inverse Trigonometric Functions represent the inverses of their main functions and help observe their behaviour via several graphical representations. Topics covered in this Chapter: Chapter 2 Inverse Trigonometric Functions Class 12 covers these topics: 1. Inverse Trigonometric Functions Introduction 2. Basic Concepts 3. Properties of Inverse Trigonometric Functions

Matrices Class 12 NCERT Solutions introduce the concept of matrices and the basic laws of matrix algebra, which has innumerable applications in several fields of study. Topics covered in Matrices Class 12 NCERT Solutions: 1. Introduction 2. Matrix 3. Types of matrices 4. Operations on matrices 5. Transpose of a matrix 6. Symmetric and skew-symmetric matrices 7. Elementary operation (transformation) of a matrix 8. Invertible matrices

Class 12 of 3d Geometry discusses the concept of three-dimensional geometry while also providing an overview and review of two-dimensional analytical geometry. This chapter uses Cartesian techniques to describe three-dimensional geometry. The basic principles of vectors and how to utilise vector algebra to solve issues related to three-dimensional geometry are also covered in this chapter. Topics covered in this Chapter: 1. Introduction 2. Direction Cosines and Direction Ratios of a Line 3. Equation of a Line Space 4. Angle Between Two Lines 5. Shortest Distance Between Two Lines 6. Plane 7. Coplanarity of Two Lines 8. Angle between two Planes 9. Distance of a Point from a Plane 10. Angle Between a Line and a Plane

The NCERT Solutions for Class 12 Maths Chapter 12 - Linear Programming can now be downloaded from the MSVgo website. The solutions are carefully curated by experts in the industry and therefore make for reliable study material. Students can rest assured that all the important topics under the Class 12 Linear Programming chapter are covered in detail, with step-by-step answers for exercise questions that will come in handy if the student has any difficulty while solving a problem. Furthermore, solving questions from the Class 12 Maths NCERT Solutions ensures that the students’ learning is aligned with the curriculum, thus preparing them for the exams. Download the solutions to familiarise yourself and be confident in the chapter. Topics Covered in Chapter 12 Linear Programming 1. Introduction 2. Linear Programming Problem and its Mathematical Formulation 3. Different Types of Linear Programming Problems

Probability, the 13th chapter of NCERT Solutions for Class 12 Maths, introduces the concept of probability and the statistical approach of probability. This has innumerable applications in several fields of study. The topics covered are as follows: 1. Introduction 2. Formula for probability 3. Probability tree 4. Types of probability 5. Theoretical probability 6. Experimental probability 7. Axiomatic probability 8. Probability of an event 9. Equally likely events 10. Complementary events 11. Probability density function

Students who are on a mission to prepare thoroughly for the upcoming class 12 board examinations must get familiar with all the essential concepts taught in NCERT Solutions for Class 12 Maths. Of all, there is one chapter, in particular, namely Chapter 6, which is covered in more detail and needs more practice. Chapter 6, which is titled Application of Derivatives Class 12 Ncert Solutions, provides a comprehensive, yet effective solution that is set to help you ace the exams nearly closing in on you. This chapter, however, requires significant practice. If you do so meticulously, you will successfully improve your problem-solving skills and strengthen your base. Curated carefully by several maths specialists, this topic of Application of Derivatives Ncert Solutions frames answer-based questions that help students understand concepts clearly and assist them in finding more than one solution to a problem. Every problem in Chapter 6 is supported by a theory. Understanding the theory would help you crack the problems sooner. Application of Derivatives Class 12 Every problem in Application of Derivatives Class 12 Ncert Solution is supported by a theory. Understanding the theory would help you crack the problems sooner. Topics Covered in this Chapter 1. Introduction 2. Rate of Change of Quantities 3. Increasing and Decreasing Functions 4. Tangents and Normals 5. Approximations 6. Maxima and Minima Let’s Get to Know What Each Chapter Covers.

Chapter 8 of NCERT, Application of Integrals, has been meticulously designed by several top maths specialists across the country. Every question set ensures easy-to-grasp and convenient solutions to help students ace their upcoming board examinations. The topics covered in Application of integrals class 12 ncert solutions are outlined, explained and made understandable so as to boost the problem-solving skills of students and help them get familiar with the concepts clearly. NCERT Solutions class 12 plays a pivotal role in achieving good scores and boosting skills to solve several home assignments. Forged by professionals, the topics discussed in the textbook emphasize on clear concepts and ideas to help students not only ace their board exams but also several competitive exams as well. Chapter 8, Application of Integrals, contains multiple exercises with miscellaneous questions that enhance the quality of the students’ answers. With an entire, step-by-step pedagogy, Application of Integrals forges easy solutions of each application, property, and relation between functions (or typically, variables). Topics Covered in this Chapter (Content table) The topics explained in the application of integrals class 12 ncert solutions are as follows, 1. Introduction 2. Area under simple curves 3. The area between two curves

NCERT Solutions for Continuity and Differentiability Class 12 is intricately designed by several maths specialists, helping students ace their exams. Various important questions are comprehensively discussed in Continuity and Differentiability class 12 with detailed explanations to each one of them, prompting students to up their problem-solving methods. With an updated solution list, you can now study the concepts thoroughly through interactive learning. NCERT solutions for class 12 maths chapter 5 gives insight into numerous problems related to continuity, exponential functions, logarithmic functions, their differentiation, derivatives, properties and more. Continuity and differentiability class 12 not only spurs the students’ knowledge base, but also provokes their foundation to solve questions more efficiently. Continuity and differentiability class 12 notes are best provided by math experts, made essentially convenient and easy to grasp for every student. Topics covered in this chapter: 1. Introduction 2. Continuity 3. Differentiability 4. Exponential and logarithmic functions 5. Logarithmic differentiation 6. Derivatives of functions in parametric forms 7. Second order derivative 8. Mean value theorem

Determinants, the 4th chapter in the NCERT Solutions for Class 12 Maths, introduces the concept of matrices and the basic laws of matrix algebra. This has innumerable applications in several fields of study. Topics covered: 1. Introduction 2. Determinant 3. Properties of determinants 4. Area of a triangle 5. Minors and cofactors 6. Adjoint and inverse of a matrix 7. Applications of determinants and matrices

Integrals NCERT Solutions Class 12 introduces the concept of integrals as a reversal of differential and the mathematical approach to integrals. There is a preset bundle of functions for integrals of special equations which can be used to solve complex questions. The bundle has innumerable applications in several fields of study. Every subject uses integration in one or the other way as it is essential in converting larger and complex functions into manageable forms. The topics covered in this Chapter are as follows: 1. Introduction 2. Integration as a reverse process of differentiation 3. Methods of Integration 4. Integrals of Some Particular Functions 5. Integration by Partial Functions 6. Integration by Parts 7. Definite Integral 8. Fundamental Theorem of Calculus 9. Evaluation of Definite Integrals by Substitution 10. Some Properties of Definite Integrals

The NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations is intricately designed by several mathematics specialists. All important topics related to differential equations are thoroughly explained and simplified to familiarise the student with new concepts. The exercise questions come with comprehensive, step-by-step solutions that will help the student overcome any barrier while solving differential equation problems. Using the Class 12 Maths Chapter 9 Solutions to prepare for the exams not only aids in the thorough understanding of the chapter, but also boosts the students’ confidence in their knowledge of the subject matter. Topics Covered in Chapter 9 Differential Equations: 1. Introduction 2. Basic Concepts 3. General and Particular Solutions of a Differential Equation 4. Formation of a Differential Equation whose General Solution is Given 5. Methods of Solving First Order, First Degree Differential Equations 6. FAQs (Frequently Asked Questions)

MSVgo now has the complete NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra on our website. All the important topics under the chapter ‘Vector Algebra', such as types of vectors, properties of vector addition, dot product and cross product of two vectors, etc. are extensively covered, ensuring that students are thoroughly prepared for the board exams. The exercise questions are prepared by subject-matter experts so that students can write the exams with confidence. Topics Included in Chapter 10 Vector Algebra 1. Introduction 2. The Basic Concepts 3. Different Types of Vectors 4. Addition of Vectors 5. Properties of Vector Addition 6. Multiplication of a Vector by a Scalar 7. Vector Components 8. Vector Joining Two Points 9. Section Formula 10. Product of Two Vectors 11. Scalar (or dot) Product of Two Vectors 12. Vector Projection on a Line 13. Vector (or Cross) Product of Two Vectors