# NCERT Solutions Book For Class 12 Mathematics

NCERT Solutions Book For Class 12 Mathematics

NCERT Class 12 Solutions for Mathematics helps in building a strong conceptual foundation for all of the topics covered in the official textbook. It includes elaborate explanations of all the theorems and equations to aid students in gaining a better understanding. NCERT Solutions for Class 12 Maths will aid students in their preparation for undergraduate engineering admission exams such as JEE Mains, BITSAT, VITEEE, and others, which are held annually.

NCERT Solutions Class 12 Maths, are created by subject specialists to help students comprehend ideas more clearly. NCERT Solutions for Class 12 provide easy to grasp explanations of all the questions found in the textbooks. Apart from solutions for each chapter of CBSE Class 12 Maths, it is also important to study Class 12 Maths notes, solved sample problems, previous year question papers, and worksheets for students preparing for their board exams.

Few Of The Topics Covered In Class 12 NCERT Solutions For Mathematics Are:

Relations and Functions (Chapter 1):

Relations and functions, types of relation, kinds of functions, the composition of functions and invertible functions, binary operations, and miscellaneous examples are all covered in Chapter 1 of the NCERT textbook. The exercise solutions for the various topics discussed in this chapter can be found here.

Inverse Trigonometric Functions (Chapter 2):

The NCERT Class 12 Maths chapter 2, Inverse Trigonometric Functions, covers a variety of topics, including notes based on basic ideas of inverse trigonometric functions, properties of inverse trigonometric functions, and other miscellaneous examples. These principles are thoroughly explained with examples. The solutions to the exercises in this chapter can be found here.

Matrices (Chapter 3):

The definition of a matrix, types of matrices, operations on matrices such as the addition of matrices and multiplication of a matrix by a scalar, properties of scalar multiplication, multiplication of matrices, properties of matrix addition, properties of multiplication of matrices, transpose of a matrix, properties of the transpose of matrices, are all the topics covered and thier exercise solutions are all discussed in the NCERT Solutions for this chapter.

Determinants (Chapter 4):

The topic of determinants is covered in Chapter 4 of 12 Class NCERT Maths Solution. Students will learn about determinants’ definition and meaning, remarks based on determinant order, properties of determinants, finding the area of a triangle using determinants, minors and cofactors of determinants, applications of determinants and matrices, and miscellaneous examples.

Continuity and Differentiability (Chapter 5):

The definition of continuity is the first topic in this chapter in the NCERT textbook. Students study continuity, algebra of continuous functions, definition and meaning of differentiability, derivatives of composite functions, implicit functions, inverse trigonometric functions, exponential and logarithmic functions, logarithmic differentiation, derivatives of functions in parametric forms, second order derivatives, and the mean value theorem. Students can easily find the solutions to the exercises of each one for these topics in the NCERT Solutions.

Application of Derivatives (Chapter 6):

Derivatives, rate of change of quantities, rising and decreasing functions, tangents and normals, approximations, maxima and minima, first derivative test, maximum and minimum values of a function in a closed interval, and miscellaneous examples are covered in Chapter 6 of the NCERT Solutions. Students can find easy explanations for all the problems here.

Integrals (Chapter 7):

Integration as an inverse process of differentiation,properties of indefinite integral, methods of integration such as integration by substitution, integration using partial fractions, comparison between differentiation and integration, integration by parts and integration are all the topics included in the NCERT solutions for this chapter.

Application Of Internals (Chapter 8):

Integrals in Chapter 8 of the NCERT textbook, begins with definition, area under simple curves, area of the region enclosed by a curve and a line, area between two curves, and miscellaneous examples. Students can access the exercises with solutions explaining the concepts from this chapter from the NCERT Solutions.

Vector Algebra (Chapter 10):

Students are introduced to vector algebra in this chapter. The concepts covered in this chapter include how to find a position vector, some basic vector algebra concepts, direction cosines, types of vectors such as zero vector, unit vector, negative of a vector, multiplication of a vector by a scalar, components of a vector, addition of vectors, properties of vector addition, vector joining two points, section formula, and product formula. Students can try to access the exercises with solutions explaining the concepts from this chapter from the NCERT solutions.