CBSE Class 12 Maths NCERT Solutions 2023 For Term 1 & Term 2: NCERT Solutions for Class 12 Maths is prepared to assist students like you who are preparing for various board exams as well as the JEE.
It provides thorough knowledge and understanding of the important concepts discussed in each chapter of the NCERT textbook for Class 12 Maths. The NCERT textbook contains 13 important chapters. The solutions are created by India’s best experts to help you in learning basic concepts more easily and quickly. You can download provided Class 12 Maths NCERT Solutions Free PDF from this article.
Download Chapter-Wise Class 12 Maths NCERT Solutions 2023 For Term 1 & Term 2 PDF
To practise the NCERT Class 12 Maths Solution for each chapter, simply click on the specific chapter links provided below.
NCERT Solutions For Class 12 Maths: Chapter-Wise Descriptions 2023 For Term 1 & Term 2
Let us have a look at what each of the chapters in the NCERT Syllabus of Class 12 Maths deals with:
Chapter 1 Relations and Functions – Term I
Solutions to this chapter concentrate on the conceptual base relations and functions, types of relation, types of functions, the composition of functions or composite functions and invertible function, exponential functions, inverse functions, variety of functions, class of functions, binary operations, and miscellaneous exercise.
Chapter 2 Inverse Trigonometric Functions – Term I
Solutions to this chapter deal with the basic concepts which are associated with inverse trigonometric functions, properties of inverse trigonometric functions, and miscellaneous examples.
Chapter 3 Matrices – Term I
Answer type questions to this chapter include the various concepts in relation to the fundamentals of matrix, types of matrices, equality of matrices, square matrix, Invertible Matrices by Elementary Operation (Transformation), non-zero matrices, matrix method, Operation on Matrices such as the addition of matrices, and multiplication of a matrix by a scalar.
Also, it covers properties of matrix addition, properties of scalar multiplication, multiplication of matrices, properties of multiplication of matrices, transpose of a matrix, properties of the transpose of the matrix, symmetric and skew-symmetric matrix, identity matrix, matrix algebra, or transformation of a matrix, and miscellaneous exercise.
Chapter 4 Determinants – Term I
The topic of determinants is covered in Chapter 4 of Class 12 Maths NCERT Solutions. 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, adjoint of a matrix, inverse of matrix, applications of determinants and matrices, and miscellaneous examples.
Chapter 5 Continuity and Differentiability – Term I
The definition of continuity is the first chapter in the NCERT textbook. Students can learn about 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 through a variety of examples in Class 12 Maths NCERT Solutions.
Chapter 6 Applications of Derivatives – Term I
Solutions to chapter Application of Derivatives include the list of topics like sound knowledge of derivatives, rate of change of quantities, increasing 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 exercise.
You will also come across various solutions from this chapter.
Chapter 7 Integral Calculus – Term II
Solutions to this chapter concentrate on conceptual knowledge of integration as an inverse process of differentiation, simple integrals, geometrical interpretation of indefinite integral, properties of indefinite integral, comparison between differentiation and integration,
Methods of integration such as integration by substitution, integration using partial fractions, integration by parts, integration using trigonometric identities, integration of some integral functions, definition, and
Meaning of definite integrals, definite integral as the limit of a sum, fundamental theorem of calculus, evaluation of definite integrals by substitution, some properties of definite integrals, and miscellaneous exercise.
You will also come across various exercise wise solutions from this chapter.
Chapter 8 Applications of Integrals – Term II
Solutions to this chapter deal with the area under simple curves, area of the region bounded by a curve and a line, area between two curves, and miscellaneous examples.
You will also come across various solutions from this chapter for Mathematics of Class 12.
Chapter 9 Differential Equations – Term II
Solutions to Differential equations chapter include basic concepts related to differential equations, the definition of derivatives, degree of a differential equation, order of a differential equation, general and particular solutions of a differential equation,
Formation of a differential equation whose general solution is given, method of separation, a procedure to form a differential equation that will represent a given family of curves, methods of solving first order, first-degree differential equations, differential equations with variable separable, homogeneous differential equations,
Linear differential equations, the procedure involved solving first-order linear differential equations and miscellaneous examples. You will also come across various CBSE Class 12 Maths NCERT Solutions from this chapter.
Chapter 10 Vector Algebra – Term II
Solutions to this chapter concentrate on the ways to find position vector, some basic concepts related to vector algebra, direction cosines, types of vectors such as zero vector, unit vector, collinear vector, equal vector, negative of a vector, addition of vectors,
Properties of vector addition, multiplication of a vector by a scalar, components of a vector, vector joining two points, section formula, the product of two vectors, scalar or dot product of two vectors, properties of scalar product, and
Projection of a vector on a line, vector, or cross product of two vectors and miscellaneous examples. You will also come across various CBSE Class 12 Maths NCERT Solutions from this chapter.
Chapter 11 Three dimensional Geometry – Term II
Solutions to chapter Dimensional Geometry deal with fundamental concepts of three-dimensional geometry, direction cosines and direction ratios of a line, the relation between the direction cosines of a line, direction cosines of a line passing through two points, equation of a line in space, and many more.
Chapter 12 Linear Programming – Term I
Solutions to this chapter include linear programming problems and their mathematical formulation, graphical representations of linear equations, mathematical formulation of the problem, graphical method of solving linear programming problems, different types of linear programming problems with miscellaneous examples.
You will also come across various CBSE Class 12 Maths NCERT Solutions from this chapter.
Chapter 13 Probability – Term II
Solutions to this chapter concentrate on Binomial Distribution, in-depth understanding of the rule of probability, a theorem on probability, independence of events, Conditional probability, multiplication theorem on probability,
Independent events, total probability, Bayes’ theorem, Random variable, and its probability distribution, mean and variance of a random variable, Binomial probability distribution along with NCERT Solutions in reference books of Class 12 CBSE Board examination.
Other Important Links Related to Class 12 Maths Solutions 2023 For Term 1 & Term 2
- CBSE Class 12 Maths RD Sharma Solutions 2023 For Term 1 & Term 2
- CBSE Class 12 Maths R S Aggarwal Solutions 2023 For Term 1 & Term 2
We have covered the detailed guide on CBSE 12th Maths NCERT Solutions 2023 For Term 1 & Term 2. Feel free to ask any questions in the comment section below.
FAQs- Class 12 Maths NCERT Solutions 2023 For Term 1 & Term 2
Is NCERT sufficient for 12th-grade Maths?
Yes, NCERT class 12 Maths books are enough to score well in the board exam.
How many chapters are present in NCERT Solutions for Class 12 Maths?
The textbook of Class 12 Maths NCERT Solutions has 2 parts. Part 1 contains chapters 1 to 6 whereas part 2 contains chapters 7 to 13.
For more details, go through the above article.
Is Class 12 Maths NCERT Solutions the best source of reference materials for the students?
NCERT books are considered to be one of the best sources of reference materials for the students of Class 12. Conceptual understanding is very much important in order to ace the exam without fear.
Can I get answers to the various practices of Class 12 Maths NCERT Solutions?
Class 12 Maths NCERT Solutions for various exercises are available on Kopykitab’s website. You can download and access PDFs by solving problems from the NCERT textbook.
Where can I download the Class 12 Maths NCERT Solutions?
Go through the above blog to download the Class 12 Maths NCERT Solutions PDF.
Which Book Is Best For Class 12 Maths Board Exam?
NCERT Book is the best and most trusted book for the Class 12 board exam.
How can NCERT Solutions help me improve my score for Class 12 Maths?
NCERT’s solutions include all the details in an easy and stepwise manner. Therefore, you will easily understand the problems.
Is the Class 12 Maths NCERT Solutions textbook enough for the preparation?
According to many teachers and experts, the NCERT Mathematics textbook is sufficient to pass the Class 12 Maths exams. However, students can also refer to other textbooks if they are aiming for the top marks.