CBSE Class 12 Maths NCERT Solutions 2021: Download PDF

CBSE Class 12 Maths NCERT Solutions

CBSE Class 12 Maths NCERT Solutions 2020-21: Scoring good marks in Maths often seems like an impossible task and for this reason, we have presented this blog. There are various subjects that come under the CBSE Class 12 Course and today we will be dealing with a subject that requires an extra bit of attention. It is none other than Mathematics. 

In this blog, we have tried to provide you the best possible solution which will boost your confidence and help you to score good marks in the 12th board exam, undergraduate competition exams, engineering entrance examinations, and other competitive examinations.

CBSE Class 12 Maths NCERT Solutions for Board Exams 2021

Read all the sections of CBSE Class 12 Maths NCERT Solutions with an attentive mind & Download Chapter-Wise Maths Class 12 Solutions NCERT.

Download CBSE 12th Maths NCERT Solutions

You will get to know about the latest pattern when you analyze the detailed explanations and step explanations of solutions. The solutions have been shaped to satisfy the basic requirements and improve the understanding of the students.

  • The concepts which are important for your final exam have been presented in a way that will be easier to understand. The experts have taken care of each chapter and they have also tried to solve all kinds of questions from the Maths NCERT book with proper explanations.
  • You must sit with the Maths solutions after finishing the syllabus and that is the most effective way to prepare yourself for the upcoming exam.
  •  There are a total of 13 chapters that fall under the Maths syllabus. The NCERT Solutions consist of the various concepts along with the techniques in relation to Class 12 Maths.
  • Every single topic has been dealt with with an extra bit of care and if you explore the contents with a focused mind you will understand the importance of buying the Maths solutions for Class 12.

Here is the list of chapters that have been covered in NCERT Books of Mathematics Class 12-

Download Chapter Wise Class 12 Maths NCERT Solutions PDF 

Examine all the chapters of Class 12 NCERT Maths Solutions carefully. When you make an effort to observe the contents of the NCERT Maths 12 solutions you will automatically have an idea of the Maths syllabus for Class 12.

You can even ask for CBSE Class 12 Maths NCERT Solutions PDF for better understanding apart from these chapters.

Class 12 Chapter Wise Brief NCERT Maths Solutions

Chapter 1 Relations and Functions

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.

Refer to CBSE Class 12 Maths NCERT Solutions Chapter 1 Relations and Functions, Inverse Trigonometric Functions PDF to boost your methods of board exam preparation for class board exam or level engineering entrance exam.

Chapter 2 Inverse Trigonometric Functions

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

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.

You will also come across various detailed solutions, step solutions of textbook questions, and question paper Class 12 from this chapter. You can refer to Download CBSE Class 12 Maths NCERT Solutions Chapter 3 PDF to know more about this part.

Chapter 4 Determinants

NCERT Solutions to chapter Determinant concentrate on the understanding in students based on multiple topic of determinants, the order of determinants, properties of determinants, finding the area of triangle using determinants, minors, and cofactors of determinant.

Also, it entails adjoint of a matrix, inverse of matrix, applications of determinant and meaning of determinants, and miscellaneous examples.

You will also come across various CBSE Class 12 Maths NCERT Solutions PDF of exercise questions, practice questions as well as previous year question for Mathematics of Class 12 from this chapter to prepare as per the board exam pattern.

Chapter 5 Continuity and Differentiability

Answer type questions to this chapter deal with concepts of continuity, the definition of continuity, algebra of continuous function, definition and meaning of differentiability, derivatives of composite functions, derivative of implicit functions, the derivative of inverse trigonometric functions,

Exponential and logarithmic functions, logarithmic differentiation, derivatives of functions in parametric forms, second order derivatives, mean value theorem via the miscellaneous exercise of continuity.

You will also come across various solutions to different types of questions of continuity, and question paper class 12 mathematics from this chapter. All the questions from this exercise have been addressed by the experts and you will be able to see them once you buy the solutions.

Check Exercise 5.1 CBSE Class 12 Maths NCERT Solutions to know about the ways to answers different kinds of problems.

Chapter 6 Applications of Derivatives

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

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

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

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

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

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,

Equation of a line through a given point and parallel to a given vector, derivation of the cartesian equation from vector form, equation of a line passing through two given points, the angle between two lines, the shortest distance between two lines, the distance between two skew lines, the distance between two parallel lines, the plane in cartesian form,

Equation of a plane in a normal form, equation of a plane perpendicular to a given vector and passing through a given point, equation of a plane passing through three non-collinear points, intercept form of the equation of a plane, a plane passing through the intersection of two given planes, coplanarity of two lines,

The angle between two planes, a distance of a point from a plane, the angle between a line and a plane, and miscellaneous examples. You will also come across various CBSE Class 12 Maths NCERT Solutions from this chapter. 

Chapter 12 Linear Programming

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

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 ireference books of Class 12 CBSE Board examination.

Other Important Links Related to CBSE 12th Maths

Advantages of following Maths NCERT Solutions For Class 12

There are different kinds of benefits for CBSE Class 12 Maths NCERT Solutions and now we will try to highlight those benefits. You must get it the moment you finish your syllabus.

  • All the chapters have been dealt with an extra bit of care and if you analyze the various parts of a particular chapter along with the explanations carefully you will have no queries.
  • You will find new ways to bring changes in your methods of preparation and for this reason, you must purchase a copy for yourself.
  • When you examine the contents of the CBSE Class 12 Maths NCERT Solutions, you will be in a position to answer any kind of question.
  • You will be confident enough to complete your homework when you go through the topic-wise explanations of the solutions on a regular basis.
  • Shaping study materials will seem like a cup of tea after you check the answers from the CBSE Class 12 Maths NCERT Solutions.
  • The students will be able to overcome all the hurdles in relation to Class 12 NCERT Solutions Maths with ease.

We have covered the detailed guide on CBSE 12th Maths NCERT Solutions 2021. You should have proper CBSE 12th study material to excel at the level of preparation in the correct way. Feel free to ask any questions.

FAQ- CBSE Class 12 Maths NCERT Solutions

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 CBSE 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 CBSE 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 CBSE Class 12 Maths NCERT Solutions?

CBSE 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 CBSE Class 12 Maths NCERT Solutions?

Go through the above blog to download the CBSE 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 CBSE Class 12 Maths NCERT Solutions textbook enough for preparation?

According to many teachers and experts, the NCERT Mathematics textbook is sufficient to pass the Class 12 math exams. However, students can also refer to other textbooks if they are aiming for the top marks.

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