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NCERT Solutions for Class 12 Maths

NCERT Solutions for Class 12 Maths -
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Mathematics Textbook for Class 12

Author: NCERT
Publisher: NCERT
Language: English

Shaalaa provides solutions for NCERT Class 12 and has all the answers for the questions given in Mathematics Textbook for Class 12. Shaalaa is surely a site that most of your classmates are using to perform well in exams.

You can solve Mathematics Textbook for Class 12 textbook questions and use Shaalaa NCERT Solutions for Class 12 Maths to verify your answers.

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NCERT Class 12 solutions for other subjects

We also provide solutions for other subjects to help you top the exams. These NCERT solutions are specially curated with respect to the exam pattern and old papers. Find the best questions and solutions here. Click now to access it.

Chapters covered in NCERT Solutions for Class 12 Maths

NCERT Class 12 Mathematics Chapter 1: Relations and Functions solutions

Concepts covered in Relations and Functions are Composition of Functions and Invertible Function, Concept of Binary Operations, Introduction of Relations and Functions, Inverse of a Function, Types of Functions, Types of Relations

NCERT Class 12 Mathematics Chapter 2: Inverse Trigonometric Functions solutions

Concepts covered in Inverse Trigonometric Functions are Basic Concepts of Inverse Trigonometric Functions, Graphs of Inverse Trigonometric Functions, Inverse Trigonometric Functions - Principal Value Branch, Inverse Trigonometric Functions (Simplification and Examples), Properties of Inverse Trigonometric Functions

NCERT Class 12 Mathematics Chapter 3: Matrices solutions

Concepts covered in Matrices are Addition of Matrices, Elementary Transformations, Equality of Matrices, Introduction of Matrices, Introduction of Operations on Matrices, Inverse of a Matrix by Elementary Transformation, Invertible Matrices, Matrices Notation, Multiplication of a Matrix by a Scalar, Multiplication of Matrices, Multiplication of Two Matrices, Negative of Matrix, Order of a Matrix, Proof of the Uniqueness of Inverse, Properties of Matrix Addition, Properties of Multiplication of Matrices, Properties of Scalar Multiplication of a Matrix, Properties of Transpose of the Matrices, Subtraction of Matrices, Symmetric and Skew Symmetric Matrices, Transpose of a Matrix, Types of Matrices

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NCERT Class 12 Mathematics Chapter 4: Determinants solutions

Concepts covered in Determinants are Applications of Determinants and Matrices, Area of a Triangle, Determinant of a Matrix of Order 3 × 3, Determinant of a Square Matrix, Determinants of Matrix of Order One and Two, Elementary Transformations, Introduction of Determinant, Inverse of a Square Matrix by the Adjoint Method, Minors and Co-factors, Properties of Determinants, Rule A=KB

NCERT Class 12 Mathematics Chapter 5: Continuity and Differentiability solutions

Concepts covered in Continuity and Differentiability are Algebra of Continuous Functions, Concept of Continuity, Concept of Differentiability, Continuous Function of Point, Derivative - Exponential and Log, Derivatives of Composite Functions - Chain Rule, Derivatives of Functions in Parametric Forms, Derivatives of Implicit Functions, Derivatives of Inverse Trigonometric Functions, Exponential and Logarithmic Functions, Higher Order Derivative, Infinite Series, Logarithmic Differentiation, Mean Value Theorem, Proof Derivative X^n Sin Cos Tan, Second Order Derivative

NCERT Class 12 Mathematics Chapter 6: Application of Derivatives solutions

Concepts covered in Application of Derivatives are Approximations, Graph of Maxima and Minima, Increasing and Decreasing Functions, Introduction to Applications of Derivatives, Maxima and Minima, Maximum and Minimum Values of a Function in a Closed Interval, Rate of Change of Bodies or Quantities, Simple Problems on Applications of Derivatives, Tangents and Normals

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NCERT Class 12 Mathematics Chapter 7: Integrals solutions

Concepts covered in Integrals are Comparison Between Differentiation and Integration, Definite Integral as the Limit of a Sum, Definite Integrals Problems, Evaluation of Definite Integrals by Substitution, Evaluation of Simple Integrals of the Following Types and Problems, Fundamental Theorem of Calculus, Geometrical Interpretation of Indefinite Integrals, Indefinite Integral by Inspection, Indefinite Integral Problems, Integrals of Some Particular Functions, Integration as an Inverse Process of Differentiation, Integration Using Trigonometric Identities, Introduction of Integrals, Methods of Integration: Integration by Parts, Methods of Integration: Integration by Substitution, Methods of Integration: Integration Using Partial Fractions, Properties of Definite Integrals, Some Properties of Indefinite Integral

NCERT Class 12 Mathematics Chapter 8: Application of Integrals solutions

Concepts covered in Application of Integrals are Area Between Two Curves, Area of the Region Bounded by a Curve and a Line, Area Under Simple Curves

NCERT Class 12 Mathematics Chapter 9: Differential Equations solutions

Concepts covered in Differential Equations are Basic Concepts of Differential Equation, Differential Equations with Variables Separable Method, Formation of a Differential Equation Whose General Solution is Given, General and Particular Solutions of a Differential Equation, Homogeneous Differential Equations, Linear Differential Equations, Order and Degree of a Differential Equation, Procedure to Form a Differential Equation that Will Represent a Given Family of Curves, Solutions of Linear Differential Equation

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NCERT Class 12 Mathematics Chapter 10: Vector Algebra solutions

Concepts covered in Vector Algebra are Addition of Vectors, Basic Concepts of Vector Algebra, Components of a Vector, Direction Cosines, Geometrical Interpretation of Scalar, Introduction of Product of Two Vectors, Introduction of Vector, Magnitude and Direction of a Vector, Multiplication of a Vector by a Scalar, Position Vector of a Point Dividing a Line Segment in a Given Ratio, Projection of a Vector on a Line, Properties of Vector Addition, Scalar (Or Dot) Product of Two Vectors, Scalar Triple Product of Vectors, Section Formula, Vector Joining Two Points, Vector (Or Cross) Product of Two Vectors, Vectors and Their Types, Vectors Examples and Solutions

NCERT Class 12 Mathematics Chapter 10: Vector Algebra exercises

ExerciseNo. of questionsPages
Exercise 10.117428
Exercise 10.219440 to 441

NCERT Class 12 Mathematics Chapter 11: Three Dimensional Geometry solutions

Concepts covered in Three Dimensional Geometry are Angle Between Line and a Plane, Angle Between Two Lines, Angle Between Two Planes, Coplanarity of Two Lines, Direction Cosines and Direction Ratios of a Line, Distance of a Point from a Plane, Equation of a Line in Space, Equation of a Plane in Normal Form, Equation of a Plane Passing Through Three Non Collinear Points, Equation of a Plane Perpendicular to a Given Vector and Passing Through a Given Point, Intercept Form of the Equation of a Plane, Introduction of Three Dimensional Geometry, Plane Passing Through the Intersection of Two Given Planes, Relation Between Direction Ratio and Direction Cosines, Shortest Distance Between Two Lines, Three - Dimensional Geometry Examples and Solutions, Vector and Cartesian Equation of a Plane

NCERT Class 12 Mathematics Chapter 12: Linear Programming solutions

Concepts covered in Linear Programming are Different Types of Linear Programming Problems, Graphical Method of Solving Linear Programming Problems, Introduction of Linear Programming, Linear Programming Problem and Its Mathematical Formulation, Mathematical Formulation of Linear Programming Problem

NCERT Class 12 Mathematics Chapter 13: Probability solutions

Concepts covered in Probability are Bayes’ Theorem, Bernoulli Trials and Binomial Distribution, Conditional Probability, Independent Events, Introduction of Probability, Mean of a Random Variable, Multiplication Theorem on Probability, Probability Examples and Solutions, Properties of Conditional Probability, Random Variables and Its Probability Distributions, Variance of a Random Variable

NCERT Class 12 Maths Solutions gives a sound conceptual foundation for all topics covered in the CBSE Class 12 Maths Syllabus. It includes extensive explanations of all major theorems and equations to help students gain a better conceptual understanding. NCERT Solutions for Class 12 Maths would assist students in studying for undergraduate engineering entrance exams such as JEE Mains, BITSAT, VITEEE, etc,

Shaalaa gives you NCERT Solutions Class 12 Maths, created by our subject specialists to help you comprehend topics more clearly. NCERT Solutions for Class 12 provide extensive step-by-step explanations of issues found in the textbooks. Shaalaa also gives Class 12 Maths notes, answered sample problems, and previous year's exams, in addition to solutions for each chapter of CBSE Class 12 Maths and solved exemplar problems

12 Class Maths NCERT Solutions are an important resource for students as they prepare for exams and homework. Math is essential for students' performance in Class 12 boards and competitive tests. These NCERT Class 12 maths solutions may be an excellent educational resource for preparing for board exams. It's tough to get a good grade in Mathematics only by remembering equations. Students in Class 12 would benefit much from studying Shaalaa NCERT answers, as they will be able to extract conceptual meaning from any issue. NCERT Maths Solutions for CBSE Class 12th offers comprehensive answers to all of the questions given in the syllabus. All of the chapters listed above are equally significant and may be learned via persistent practice and hard effort.

Key Features of CBSE Class 12 Maths NCERT Solutions

  • These solutions make it simple for students to practice and review subjects.
  • It helps you save time by presenting all of the relevant ideas and equations in a logical order.
  • These CBSE Class 12 Maths NCERT Solutions include helpful hints for correctly solving common questions.
  • These options are particularly useful for short modifications during exams.

Mathematical is a subject that many students dislike, due to its complications and puzzling sums, and equations, and finding the right reference sums and easy explanations can be challenging to come by. This can become all the more challenging, especially when you are getting ready for your standard 12 examinations, as finding the right sort of study material for your major board examination can decide how successful you can solve and ace your exam. Finding the right and reliable study material such as NCERT Class 12 Maths, will ensure that you can find solutions and clarifications for your doubts and difficulties. 

Download NCERT Books for reading it. CBSE class 12 prescribes these books. 

NCERT Solutions for Class 12 Maths

Class 12 NCERT solutions answers all the questions given in the NCERT textbooks in a step-by-step process. Our Maths tutors have helped us put together this for our Class 12 Students. The solutions on Shaalaa will help you solve all the NCERT Class 12 Mathematics questions without any problems. Every chapter has been broken down systematically for the students, which gives fast learning and easy retention.

Shaalaa provides free NCERT solutions for Class 12 Maths. Shaalaa has carefully crafted NCERT solutions for Class 12 Mathematics that can help you understand the concepts and learn how to answer properly in your board exams. You can also share our link for free Class 12 Mathematics NCERT solutions with your classmates.

If you have any doubts while going through our Class 12 Mathematics NCERT solutions, then you can go through our Video Tutorials for Mathematics. The tutorials should help you better understand the concepts.

Frequently asked questions about NCERT Solutions for Class 12 Maths

How can Class 12 Maths NCERT Solutions help you?

One of the most challenging exams you will ever appear for is your class 12 board exam. Ensuring that you have access to the best study material, such as Maths NCERT Class 12 Solutions for those challenging subjects, will ensure that you can put your doubts and confusions at ease. Good study material, especially for a complex subject such as Mathematics, requires a student to constantly practice, and find sums and equations that vary from one another while ensuring that the same numbers are not repeated.

How to effectively use NCERT 12 Maths Solution?

Unlike other subjects, such as language history and even science, that requires one to study, read and memorize answers, mathematics requires a student to constantly practice and practice, to get a thorough understanding of how to solve complicated and challenging equations, which can come only through repeated practice and therefore, the answer to acing your mathematics exam is through referring to various NCERT Class 12 Maths books and mathematics equations, to ensure that you are constantly solving new sums and equations, which will help you stay in touch with the complicated subject.

How to resourcefully utilize your Class 12 Maths Solutions?

Every exam has time limitations, something that many students fail to take into consideration while preparing for a subject such as mathematics, and the best and most effective way to do the same is to constantly practice and refer to Class 12 Maths Solutions, and to refer to previous year question papers, to ensure that you make the best use of the available time. Try to appear for the mock exams from your home and time yourself, just the way you would be timed at an examination hall. Set a timer and start building a discipline, to ensure that you take these mock exams extremely seriously, and by doing so, with the help of Class 12 Maths Solutions by your side, you will not just help yourself prepare most effectively, but also to ensure that come exam time, you will not feel nervous and will be looking forward to the same.

How Class 12 Maths NCERT Solutions can help you gain an edge?

Your 12th standard examination can help shape and decide your future and career and it needs to be taken, not just will all the seriousness possible, but also needs to be tackled most effectively. It is a known fact that a good source of study material such as Class 12 Maths NCERT Solutions cannot just help you gain a competitive edge over the competition, but will also ensure that you get prepared for the crucial board examination most effectively and efficiently, one which will ensure that you tap into your potential and score the maximum marks possible.

Given the seriousness of your class 12 exams, it becomes crucial to ensure that you have access to the best study material available and an effective strategy to successfully ace your all-important board exam.

Why is Class 12 Maths NCERT Solutions recommended for the student?

Every student strives to do better than his competitors. It is necessary to master academics to achieve this. The student is taught how to solve the problem step by step. This powers the user to solve similar problems. Mock papers are provided to ensure the student has enough practice before attempting the exam.

How do NCERT Solutions help the student to prepare for competitive exams?

Maths NCERT 12 Solutions helps students to prepare for undergraduate-level engineering entrance exams like JEE mains, BITSAT, VITEEE, etc. The multitude of previous year's question papers and mock tests help the student cover the syllabus and increase confidence levels and performance. When the student is confident that he has prepared well, his performance is bound to be good.

Do the Solutions cover the whole syllabus?

Maths is all about practice and precision. NCERT Solutions of Mathematics of Class 12 provides plenty of practice questions. NCERT 12 Mathematics Solutions gives Solutions to all the problems given in textbooks as well. It is helpful to the student to be able to see all the questions solved, so they can perfect the methods employed.

Finding the best Class 12 Mathematics NCERT solutions is very important if you want to fully prepare for the exam. It's crucial to ensure that you are fully prepared for any challenges that can arise, and that's why heavy, professional focus on Maths NCERT Class 12 solutions can be a very good idea. As you learn the solutions, it's a lot easier for you to obtain the results you want and the experience itself can be staggering every time.

NCERT Class 12 Mathematics Guide Book Back Answers

We hope that the following CBSE, Department of Pre-University Education, Karnataka NCERT Class 12 Mathematics Book Answers Solutions Guide Pdf Free Download in English Medium would be of use to you. Answer material is developed as per the latest exam pattern and is part of NCERT Class 12 Books Solutions. You will not miss any topics or concepts discussed in the book and will get more conceptual knowledge from the study material. If you have any questions about the CBSE, Department of Pre-University Education, Karnataka New Syllabus Class 12 Class 12 Mathematics Guide Pdf of Text Book Back Questions and Answers, Notes, Chapter Wise Important Questions, Model Questions, and so on, please contact us.

Comprehensive NCERT solutions for Class 12 Maths

It's very important to have the NCERT solutions for Class 12 Maths as they can offer a good guideline in regards to what you need to improve. If you want to get better and better, you need to push the boundaries and take things to the next level. That certainly helps a lot and it can bring in front a tremendous array of benefits every time. It pushes the experience to the next level, and the payoff alone can be extraordinary.

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All the NCERT Class 12 Maths solutions here cover all 13 chapters. As a result, you will be able to fully prepare for the exam adequately and without having to worry about missing anything. You rarely get such a benefit, and that on its own is what really makes the Class 12 Maths NCERT solutions provided here such an extraordinary advantage that you can always rely on. Just consider giving it a try for yourself and you will find it very comprehensive, professional and convenient at the same time.

Our NCERT solutions for Class 12 Maths cover everything from Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, Application of Derivatives, Integrals, Application of Integrals, Differential Equations, Vector Algebra, Three Dimensional Geometry, Linear Programming, Probability and the other topics. Yes, these are the best NCERT 12 Maths solution options on the market. You get to fully prepare for the exam in a reliable and comprehensive manner. You just have to check it out for yourself and the experience can be really impressive.

Don't hesitate and check our Class 12 Maths solutions today if you want to handle this exam with great ease. It will offer an extraordinary experience every time and you will not have to worry about any issues. Just browse our solutions right now and you will find yourself mastering the NCERT exam questions in no time!

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