assignment of math class 12

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CBSE Worksheets for Class 12 Maths

CBSE Worksheets for Class 12 Maths: One of the best teaching strategies employed in most classrooms today is Worksheets. CBSE Class 12 Maths Worksheet for students has been used by teachers & students to develop logical, lingual, analytical, and problem-solving capabilities. So in order to help you with that, we at WorksheetsBuddy have come up with Kendriya Vidyalaya Class 12 Maths Worksheets for the students of Class 12. All our CBSE NCERT Class 12 Maths practice worksheets are designed for helping students to understand various topics, practice skills and improve their subject knowledge which in turn helps students to improve their academic performance. These chapter wise test papers for Class 12 Maths will be useful to test your conceptual understanding.

Board: Central Board of Secondary Education(www.cbse.nic.in) Subject: Class 12 Maths Number of Worksheets: 42

CBSE Class 12 Maths Worksheets PDF

All the CBSE Worksheets for Class 12 Maths provided in this page are provided for free which can be downloaded by students, teachers as well as by parents. We have covered all the Class 12 Maths important questions and answers in the worksheets which are included in CBSE NCERT Syllabus. Just click on the following link and download the CBSE Class 12 Maths Worksheet. CBSE Worksheets for Class 12 Maths can also use like assignments for Class 12 Maths students.

CBSE Class 12 Definite Integrals Worksheets

• CBSE Class 12 Definite integrals Assignment 1
• CBSE Class 12 Definite integrals Assignment 2
• CBSE Class 12 Definite integrals Assignment 3
• Class 12 Maths CBSE Worksheets for Definite integrals Assignment 4
• CBSE Class 12 Maths Worksheets Definite integrals Assignment 5
• CBSE Worksheets for Class 12 Maths Definite integrals Assignment 6
• CBSE Maths Worksheets for Class 12 Definite integrals Assignment 7

CBSE Determinants Class 12 Worksheets

• CBSE Worksheets for Class 12 Maths Determinants Assignment 1
• CBSE Class 12 Maths Determinants Assignment 2
• CBSE Class 12 Maths Determinants Assignment 3
• CBSE Class 12 Maths Determinants Assignment 4
• CBSE Class 12 Maths Determinants Assignment 5
• CBSE Class 12 Maths Worksheets for Determinants Assignment 6
• CBSE  Class 12 Maths Worksheets for Determinants Assignment 7

CBSE Class 12 Integration Worksheets

• CBSE Worksheets for Class 12 Maths Integration Assignment 1
• CBSE Worksheets for Class 12 Maths Integration Assignment 2
• CBSE Worksheets for Class 12 Maths Integration Assignment 3
• CBSE Worksheets for Class 12 Maths Integration Assignment 4
• CBSE Class 12 Maths Integration Assignment 5
• CBSE Class 12 Maths Integration Assignment 6
• CBSE Class 12 Maths Integration Assignment 7

CBSE Class 12 Relations and Functions Worksheets

• CBSE Class 12 Maths Relations and Functions Assignment 1
• CBSE Class 12 Maths Relations and Functions Assignment 2
• CBSE Class 12 Maths Relations and Functions Assignment 3
• CBSE Class 12 Maths Relations and Functions Assignment 4
• CBSE Class 12 Maths Relations and Functions Assignment 5
• CBSE Class 12 Maths Relations and Functions Assignment 6

CBSE Class 12 Maths Linear Programming Worksheets

• CBSE Class 12 Maths Linear Programming Assignment 1
• CBSE Class 12 Maths Linear Programming Assignment 2
• CBSE Class 12 Maths Linear Programming Assignment 3
• CBSE Class 12 Maths Linear Programming Assignment 4

Application of Derivatives CBSE Class 12 Maths Worksheets

• CBSE Worksheets for Class 12 Maths Application of Derivatives

Application of Integrals CBSE Class 12 Maths Worksheets

• CBSE Worksheets for Class 12 Maths Application of Integrals

Continuity and Differentiation Class 12 Worksheets

• CBSE Worksheets for Class 12 Maths Continuity and Differentiability Assignment 01
• CBSE Class 12 Maths Continuity and Differentiability Assignment 02

Differential Equations CBSE Class 12 Mathematics Worksheets

• CBSE Class 12 Differential Equations Assignment 01
• CBSE Class 12 Differential Equations Assignment 02

CBSE Class 12 Inverse Trigonometric Functions Worksheets

• CBSE Class 12 Maths Inverse Trigonometric Functions Assignment 01
• CBSE Class 12 Maths Inverse Trigonometric Functions Assignment 02

Continuity Class 12 Maths Worksheets

• CBSE Class 12 Maths Continuity Assignment

Class 12 CBSE Maths Matrices Worksheets

• CBSE Class 12 Maths Matrices
• CBSE Class 12 Maths Matrices and determinants

Class 12 Vector Algebra CBSE Maths Worksheets

• CBSE Class 12 Maths Vector Algebra Assignment

Advantages of CBSE Class 12 Maths Worksheets

• By practising NCERT CBSE Class 12 Maths Worksheet , students can improve their problem solving skills.
• Helps to develop the subject knowledge in a simple, fun and interactive way.
• No need for tuition or attend extra classes if students practise on worksheets daily.
• Working on CBSE worksheets are time-saving.
• Helps students to promote hands-on learning.
• One of the helpful resources used in classroom revision.
• CBSE Class 12 Maths Workbook Helps to improve subject-knowledge.
• CBSE Class 12 Maths Worksheets encourages classroom activities.

Worksheets of CBSE Class 12 Maths are devised by experts of WorksheetsBuddy experts who have great experience and expertise in teaching Maths. So practising these worksheets will promote students problem-solving skills and subject knowledge in an interactive method. Students can also download CBSE Class 12 Maths Chapter wise question bank pdf and access it anytime, anywhere for free. Browse further to download free CBSE Class 12 Maths Worksheets PDF .

Now that you are provided all the necessary information regarding CBSE Class 12 Maths Worksheet and we hope this detailed article is helpful. So Students who are preparing for the exams must need to have great solving skills. And in order to have these skills, one must practice enough of Class 12 Maths revision worksheets . And more importantly, students should need to follow through the worksheets after completing their syllabus.  Working on CBSE Class 12 Maths Worksheets will be a great help to secure good marks in the examination. So start working on Class 12 Maths Worksheets to secure good score.

CBSE Worksheets For Class 12

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NCERT Books and Solutions for all classes

Assignments Class 12 Mathematics Pdf Download

Students can refer to Assignments for Class 12 Mathematics available for download in Pdf. We have given below links to subject-wise free printable Assignments for Mathematics Class 12 which you can download easily. All assignments have a collection of questions and answers designed for all topics given in your latest NCERT Books for Class 12 Mathematics for the current academic session. All Assignments for Mathematics Grade 12 have been designed by expert faculty members and have been designed based on the type of questions asked in standard 12 class tests and exams. All Free printable Assignments for NCERT CBSE Class 12, practice worksheets, and question banks have been designed to help you understand all concepts properly. Practicing questions given in CBSE NCERT printable assignments for Class 12 with solutions and answers will help you to further improve your understanding. Our faculty have used the latest syllabus for Class 12. You can click on the links below to download all Pdf assignments for class 12 for free. You can get the best collection of Kendriya Vidyalaya Class 12 Mathematics assignments and questions workbooks below.

Class 12 Mathematics Assignments Pdf Download

CBSE NCERT KVS Assignments for Mathematics Class 12 have been provided below covering all chapters given in your CBSE NCERT books. We have provided below a good collection of assignments in Pdf for Mathematics standard 12th covering Class 12 questions and answers for Mathematics. These practice test papers and workbooks with question banks for Class 12 Mathematics Pdf Download and free CBSE Assignments for Class 12 are really beneficial for you and will support in preparing for class tests and exams. Standard 12th students can download in Pdf by clicking on the links below.

Subjectwise Assignments for Class 12 Mathematics

Benefits of Solving Class 12 Mathematics Assignments

• The best collection of Grade 12 assignments for Mathematics have been provided below which will help you in getting better marks in class tests and exams.
• The solved question for Class 12 Mathematics will help you to gain more confidence to attempt all types of problems in exams
• Latest NCERT Books for Class 12 Mathematics have been referred to for designing these assignments
• We have provided step by step solutions for all questions in the Class 12 assignments so that you can understand the solutions in detail.
• We have provided single click download links to all chapterwise worksheets and assignments in Pdf.
• Class 12 practice question banks will support to enhance subject knowledge and therefore help to get better marks in exam

FAQs by Mathematics Students in Class 12

At https://www.ncertbooksolutions.com is the best website that has the biggest collection of free printable assignments for Class 12 Mathematics.

We provide here Standard 12 subject-wise assignments which can be easily downloaded in Pdf format for free. Our teachers have provided these Grade 12 Mathematics test sheets for Mathematics given in your books.

You can click on the links above and get assignments for Mathematics in Grade 12, all chapters and topic-wise question banks with solutions have been provided here. You can click on the links to download in Pdf.

We have provided here subject-wise Grade 12 Mathematics question banks, revision notes and questions for all difficult topics, and other study material. You can download it all without any charge by clicking on the links provided above.

We have provided the best quality question bank for Class 12 for Mathematics available for Pdf Download. You can download them all and use them offline without the internet.

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Class 12 - Maths

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Get NCERT solutions for Class 12 Maths free with videos. Solutions of all exercise questions, examples, miscellaneous exercise, supplementary exercise are given in an easy to understand way

The chapters and the topics in them are

• Chapter 1 Relation and Functions – Types of Relation - Reflexive, Symmetric, Transitive & Equivalence relation, Type of functions - One-one (injective), Onto (surjective) & Bijective, Composition of functions and Inverse of a function, Binary Operation - Commutative, Associative, Identity and Inverse.
• Chapter 2 Inverse Trigonometric Functions –  Finding principle value, solving identities using properties
• Chapter 3 Matrices – Order of matrix, Types of matrices - Column matrix, Row matrix, Square matrix, Diagnol matrix, Scalar Matrix, Identity matrix, Equal matrices, Addition, Subtraction and Multiplication of matrices, Transpose of a Matrix, Symmetric, Skew Symmetric Matrices, Finding inverse of matrix by elementary operations
• Chapter 4 Determinants – Evaluating 2 x 2, 3 x 3 Determinant, Properties of Determinant, Area of triangle, Minors and Cofactors, Adjoint and inverse of matrix, Solution of system of linear equations using matrix method
• Chapter 5 Continuity and Differentiability – Finding whether function is continuous, composition of continuous functions is continuous, Finding Derivative using chain rules, logarithmic and exponential differentiation, Mean value of theorem, Rolle's Theorem.
• Chapter 6 Application of Derivatives – Finding rate of change, Increasing & decreasing functions, Point of Inflexion, Finding slope of tangent  and normal, Finding approximate of functions and numbers, Finding maxima & minima using first derivative & second derivative test and Finding absolute maxima and minima
• Chapter 7 Integrals – Finding integration by substitution, trigonometric identities, Partial Fractions & using special formulas. Finding definite integrals as Limit as a Sum, Finding definite integral using indefinite integral and finding Definite Integral using properties
• Chapter 8 Application of Integrals –  Finding area of region of simple curve, curve and line. Finding area between two curves.
• Chapter 9 Differential Equations – Degree and order of differential equations, General & Particular Solutions of Differential Equation, Forming differential equation when general solution is equation, Solving by variable separating, solving homogeneous differential equations, Linear Differential Equation
• Chapter 10 Vector Algebra – What is vector, Difference between vector and scalar, Types of vector - Unit vector, Equal vector, Addition of vectors, Components of vector, Scalar(Dot) product of vectors, Projection of vector on line, Vector (Cross) product of vectors, Finding area of parallelogram
• Chapter 11 Three Dimensional Geometry – Direction Ratio & Direction cosines of line, Finding equation of line - given point & parallel vector, though two points, Angle between two lines, Distance between two skew lines, Distance between two parallel lines, Finding equation of plane - normal form, perpendicular to given vector & passing through point, through 3 non-collinear points, intercept form, through two planes. Coplanarity of two planes, Angle between two planes, Distance between point and plane, Angle between Line & Plane
• Chapter 12 Linear Programming  – Finding maximum or minimum value of Z using bounded or unbounded region of graphical inequality.  Solving Diet, Manufacturing & Transport problems.
• Chapter 13 Probability – Conditional Probability, Multiplication Theorem of Probability, Independent events, Bayes Theorem, Random Variable & its Probability Distributions, Mean & Variance of Random Variable, Bernoulli Trials & Binomial Distribution

Each chapter is divided into two parts - Serial Order Wise and Concept Wise.

• In Serial  Order Wise, the chapter is taught according to the NCERT Book with exercises, examples and miscellaneous. You should follow this when you are searching for a particular question
• In Concept Wise, we have divided the Chapter into topics. Concept is explained first, and then questions are ordered from easy to difficult. You should always follow this method to do the chapter. This is the Teachoo (टीचू) way of doing a chapter.

In addition to that, Important Questions are marked for your reference.

And, we have also solved Past Year Papers, and Sample Papers with step by step marking as well

Click on a Chapter below to begin

Chapter 1 Class 12 Relation and Functions

Chapter 2 class 12 inverse trigonometric functions, chapter 3 class 12 matrices, chapter 4 class 12 determinants, chapter 5 class 12 continuity and differentiability, chapter 6 class 12 application of derivatives, chapter 7 class 12 integrals, chapter 8 class 12 application of integrals, chapter 9 class 12 differential equations, chapter 10 class 12 vector algebra, chapter 11 class 12 three dimensional geometry, chapter 12 class 12 linear programming, chapter 13 class 12 probability, important questions for exams class 12, solutions of sample papers and past year papers - for class 12 boards.

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Here students can find very useful content which is very helpful to handle final examinations effectively.

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Lesson Plan Maths Class XII | For Maths Teacher

Math Assignment Class IX Ch -1| Number System

• Assignment 10 15
• Assignment 11 12
• Assignment 12 14
• Assignment 8 8
• Assignment 9 5
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• Lesson Plan 12 13
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NCERT Solutions for Class 12 Maths Free PDF Download

Ncert solutions for class 12 maths.

NCERT Solutions for Class 12 Maths free PDF format is available to download from the links below. NCERT stands for National Council of Education Research and Training is the most preferred curriculum by all the boards like CBSE, Gujarat board, Madhya Pradesh board, etc. The NCERT Solutions for Class 12 Maths will help you to solve the answer the faster and it will clear each and every concept very clearly. NCERT Solutions also helps in cracking many entrance exams like JEE Main, JEE Advanced, NEET, etc. Questions and answers in these solutions will help in scoring better marks in exams.

Download NCERT solutions for other subjects here .

Following NCERT Solutions for Class 12 Maths are free to download. And if you signup on Toppr or download Toppr app you will also get last 10 years of question papers, 1000+ hours of video lectures, mock tests, live doubt solving and much more. Download Toppr app for Android and iOS now and join our 7 Million Students!

NCERT Solutions for Class 12 Maths Chapterwise

Chapter 1 – Relations and Functions

Chapter 2 – Inverse Trigonometric Functions

Chapter 3 – Matrices

Chapter 4 – Determinants

Chapter 5 – Continuity and Differentiability

Chapter 6 – Application of Derivatives

Chapter 7 – Integrals

Chapter 8 – Application of Integrals

Chapter 9 – Differential Equations

Chapter 10 – Vector Algebra

Chapter 11 – Three Dimensional Geometry

Chapter 12 – Linear Programming

Chapter 13 – Probability

Class 12 Maths Chapterwise NCERT Solutions Free PDF Download

Ncert solutions of class 12 maths chapter 1 relations and functions.

In this chapter, you will learn about the Relations between two items and other topics like the Cartesian product of set. You will get more than 40 problems solved in this chapter in this free NCERT solutions PDF .

NCERT Solutions for Class 12 Maths Chapter 2  Inverse Trigonometric Functions

We covered trigonometric functions in Class 11. Now it is time to learn about Inverse Trigonometric functions. In this chapter, you will learn how to measure the angles between the two sides of the right angle and properties of angle. We have solved more than 40 problems in NCERT solutions for inverse trigonometric functions .

NCERT Solutions for Class 12 Maths Chapter 3 Matrices

Matrix is one of the most important applications of Maths. Understand matrices will also help you in further courses. In this chapter, you will learn different topics on matrices like transpose of matrices, multiplication of matrices, etc. Download NCERT Solutions for Matrices here .

NCERT Solutions for Class 12 Maths Chapter 4  Determinants

Learning matrices is not complete without learning Determinants. The inverse of the matrix depends upon the Determinants. In this chapter, Determinant of a matrix, properties of determinants and more. We have solved more than 100 problems for this chapter. Download NCERT solution for Class 12 Maths Determinants here .

NCERT Solutions for Class 12 Maths Chapter 5  Continuity and Differentiability

Continuity and differentiability are all about derivates and its algebra. You will get more than 100 problems solved in this NCERT Solutions for Continuity and Differentiability .

NCERT Solutions for Class 12 Maths Chapter 6  Application of Derivatives

Tangents and normal, Maxima and minima and some more applications of derivatives you will learn in this chapter. Download NCERT Solutions free PDF for applications of derivates here .

NCERT Solutions for Class 12 Maths Chapter 7  Integrals

Integrals are the most important and toughest topic in mathematics. It is very important to understand integrals very clearly and NCERT solutions will definetly help you in that. Our team of experts has solved more than 200 problems in this chapter for you. Download NCERT Solutions for Class 12 Integrals here .

NCERT Solutions for Class 12 Maths Chapter 8  Application of Integrals

Integrals have a lot of applications in Engineering. In this chapter, we will learn how to measure how to find area under simple curves, area between two curves, area bounded by curve and line. We have solved more than 50 problems in this chapter. Download NCERT Solutions for this chapter here .

NCERT Solutions for Class 12 Maths Chapter 9  Differential Equations

In this chapter, you will learn about Linear and homogenous Differential equations and how to find the order of differential equations. We have solved more than 50 problems solved in this chapter. Download NCERT Solutions for Differential equations here .

NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra

Vector algebra is a really important topic for cracking exams like JEE Main and Advanced. This topic can be helpful in real life scenarios too. In this chapter, you will learn different types of vectors, product, and addition of vectors. We have solved more than 50 problems solved in this chapter. Download NCERT Solutions of Vector algebra here .

NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry

Three Dimensional Geometry is an interesting topic. In this chapter, you will learn to measure the distance between parallel lines, the distance between skew lines, etc. Download NCERT Solutions for three-dimensional geometry here .

NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming

Linear programming problems have wide applications in business mathematics, economics, and statistics. In this chapter, you will learn about types of linear programming, graphical method of linear programming and more. Download NCERT Solutions for Linear programming here .

NCERT Solutions for Class 12 Maths Chapter 13 Probability

Probability is one of the most important topics in Mathematics which helps in real life applications as well. In this chapter, we will learn about Baye’s theorem, Bernoulli trials and more. Download NCERT Solutions for this chapter here .

Toppr – Best Learning App for Class 5 to Class 12

Toppr is the best learning app for Class 5 to Class 12 and also for competitive entrance exams like JEE Main, JEE Advanced, NEET, AIIMS, etc. In Toppr you will get 1000+ hours of free video lectures on each and every topic. Our experts at Toppr has created an important set of questions for you. You will also get the last 10 years of question papers, mock tests, and live doubts solving. Download Toppr for Android and iOS or signup on Toppr and start learning now.

Solved Questions For You:

Question 1. Find the rate of change of the area of a circle with respect to its radius  r  when

(i)  r = 3  cm (ii)  r = 4  cm

Question 2.  Let  f : R → R  be defined as  f ( x ) = 3 x . Choose the correct answer.

f : R → R  is defined as  f ( x ) = 3 x .

Let  x , y  ∈  R  such that  f ( x ) = f ( y )

⇒ 3 x = 3 y ⇒ x = y ∴ f  is one-one Also, for any real number  ( y )  in co-domian  R , there exists \(\frac{y}{3}\)  in  R  such that f (\(\frac{y}{3}\))  = 3 (\(\frac{y}{3}\) ) = y

∴ f  is onto.

Hence, function  f  is one-one and onto The correct answer is  A .

Let  A = { 4 , 6 , 8 }

a , b ∈ R .

Relation  R  is not transitive since  ( 4 , 6 ) , ( 6 , 8 ) ∈ R , but  ( 4 , 8 ) \(\notin\)  R .

Question 4: Let  R  be the relation in the set  { 1 , 2 , 3 , 4 }  given by  R = { ( 1 , 2 ) , ( 2 , 2 ) , ( 1 , 1 ) , ( 4 , 4 ) , ( 1 , 3 ) , ( 3 , 3 ) , ( 3 , 2 ) } . 

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NCERT Solutions for Class 12 Maths

Ncert solutions for class 12 maths – free pdf solutions.

Maths NCERT Solutions for Class 12 acts as a vital tool when students are preparing for their Board examinations and even while solving the home work or any assignments. It also helps students to crack any competitive exam such as IIT JEE, AIIMS, NDA, UPSC, NEET, BITSAT, VITEEE or any government exam. In short, any undergraduate engineering entrance exam or government exam requires NCERT solutions since they are your best ally and foot forward towards your exam preparations. Scoring in Maths can be very difficult process as it is not plain wrote-learning but practical application of the conceptual knowledge you have learned. This can be only done by mere practice and hardwork.

Class 12 NCERT Maths Solutions prepare a strong foundation of conceptual learning of all the chapters and topics covered in 12 th standard portion as prescribed by CBSE. The solution PDF compromises of important formulas, theorems and equations. Each point is further explained with detailed explanations so that students can grasp it easily and understand the concepts efficiently. Mathongo provides detailed step by step explanation of the problems. They are free download and in PDF format. They are designed by the best professors and teachers to ensure students get good marks in their examination.

The maths solutions of CBSE NCERT Class 12 gives in-depth clarity answers to all the questions asked in the NCERT textbook. All the topics of NCERT are equally important and must be studied thoroughly to attain good marks. Students should study chapters like probability, calculus, coordinate geometry, trigonometry with consistence as they can become very easy to solve with proper practice and then these units will help in fetching high marks.

NCERT Class 12 Maths Chapterwise Solutions

• Chapter 1 Relations and Functions
• Chapter 2 Inverse Trigonometric Functions
• Chapter 3 Matrices
• Chapter 4 Determinants
• Chapter 5 Continuity and Differentiability
• Chapter 6 Application of Derivatives
• Chapter 7 Integrals
• Chapter 8 Applications of Integrals
• Chapter 9 Differential Equations
• Chapter 10 Vector Algebra
• Chapter 11 Three-Dimensional Geometry
• Chapter 12 Linear Programming
• Chapter 13 Probability

Why Go for Mathongo’s NCERT Maths Solutions for Class 12

Mathongo provides NCERT class 12 maths solution at free of cost online and it’s easily accessible in the form of PDF. Each PDF constitutes of the chapter in which exercise wise solutions are given. It is very easy for the students to locate any answer from the exercise.

All the solutions are made with the help of the best teachers and academicians. The solutions are plain easy and can be understood by anyone. The approaches and the methods used to solve the questions are also given in step by step method so that students score good in paper. For additional conceptual clarity, diagrams and formulas are also used.

Mathongo has provided the best solutions for class 12 maths Ncert textbooks. Students can refer these solutions which will help them in solving the previous year question papers. These NCERT maths class 12 solution will help the students to study more effectively and also present the answers in the most effective way to get the highest scores.

The back-end exercise questions given in NCERT books are very important for the class 12 finals. These exercises often test the conceptual clarity and the subject knowledge of the student. NCERT Solutions will help you to understand these concepts better. On the other hand, the students who have problem in solving maths and require assistance and guidance can also refer class 12 Ncert Maths Solutions to clarify the complex questions concepts.

Maths is all about practice. The more you practice, the better you will be. Ncert maths class 12 pdf download can help students to solve all their problems and also save their time as everything is at one place, one click away.

Which book is best for class 12 Maths?

The best book for not only class 12 Mathematics but for any class is the NCERT textbook which is prescribed by CBSE. The conceptual base required to solve HOTs (High Order Thinking Problems) is built by practicing NCERT maths book examples and exercise questions. Once the students have studied thoroughly the NCERT textbook, the students can through books like RD Sharma and RS Aggarwal for further practice. However, students must not underestimate the power of solving NCERT since majority of the questions in the boards come either directly from NCERT or are NCERT based.

Is NCERT enough for Class 12 board Maths?

NCERT textbook is well enough for class 12 board examinations for Maths. Solving questions from NCERT textbook helps student to grasp concepts easily. If they wish to practice more as Maths is all about practice, they can use other reference books or even solve question banks and past year question papers.

Is class 12 NCERT Maths difficult?

The idea of the subject being difficult or easy lies in the mind of the beholder. Some students since childhood have Maths phobia engraved in their minds. But I would like to clear that. NCERT Maths of class 12 is not difficult. Once you get the conceptual clarity, you can start solving solved examples and problems followed by exercise questions. The only way you can master Maths is by practicing variety of questions.

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Class 12 Maths Index

Class 12 maths index page provided here. It covers all the chapters of class 12 maths syllabus including topics along with their sub-topics. These class 12 maths topics are extremely helpful for the students to prepare for their board exams and also for the different competitive exams like JEE.

It is important for the students to be thorough with all these concepts included in the syllabus. The topics here, are explained at BYJU’S, in such a manner that students get a deeper understanding of the concepts and develop problem-solving abilities. Click on the links given below to learn about the respective topics in details.

Class 12 Maths Chapters

Chapter 1: relations and functions.

• 1.1 Introduction
• 1.2 Types of Relations
• 1.3 Types of Functions
• 1.4 Composition of Functions and Invertible Function
• 1.5 Binary Operations

Chapter 2: Inverse Trigonometric Functions

• 2.1 Introduction and Basic Concepts or Inverse Trigonometric Functions
• 2.3 Properties of Inverse Trigonometric Functions

Chapter 3: Matrices

• 3.1 Introduction
• 3.3 Types of Matrices
• 3.4 Operation on Matrices
• 3.5 Transpose of a Matrix
• 3.6 Symmetric and Skew Symmetric Matrices
• 3.7 Elementary Operation (Transformation) of a Matrix
• 3.8 Invertible Matrices

Chapter 4: Determinants

• 4.1 Introduction
• 4.2 Determinant
• 4.3 Properties of Determinants
• 4.4 Area of a Triangle
• 4.5 Minors and Cofactors
• 4.6 Adjoint and Inverse of a Matrix
• 4.7 Applications of Determinants and Matrices

Chapter 5: Continuity and Differentiability

• 5.1 Introduction to Continuity and Differentiability
• 5.2 Exponential and Logarithmic Functions
• 5.3 Logarithmic Differentiation
• 5.4 Derivatives of Functions in Parametric Forms
• 5.5 Second Order Derivative
• 5.6 Mean Value Theorem

Chapter 6: Applications of Derivatives

• 6.1 Introduction
• 6.2 Rate of Change of Quantities
• 6.3 Increasing and Decreasing Functions
• 6.4 Tangents and Normals
• 6.5 Approximations
• 6.6 Maxima and Minima

Chapter 7: Integrals

• 7.1 Introduction to Integral Calculus
• 7.2 Integration as an Inverse Process of Differentiation
• 7.3 Methods of Integration
• 7.4 Integrals of Some Particular Functions
• 7.5 Integration by Partial Fractions
• 7.6 Integration by Parts
• 7.7 Definite Integral
• 7.8 Fundamental Theorem of Calculus
• 7.9 Evolution of Definite Integrals by Substitution
• 7.10 Some Properties of Definite Integrals

Chapter 8: Application of Integrals

• 8.1 Introduction
• 8.2 Area under Simple Curves
• 8.3 Area Between Two Curves

Chapter 9: Differential Equations

• 9.1 Introduction to Differential Equations
• 9.2 Basic Concepts
• 9.3 General and Particular Solutions of a Differential Equation
• 9.4 Formation of a Differential Equation whose General Solution is given
• 9.5 Methods of Solving First Order, First Degree Differential Equations

Chapter 10: Vector Algebra

• 10.1 Introduction to Vectors
• 10.2 Some Basic Concepts
• 10.3 Types of Vectors
• 10.4 Addition of Vectors
• 10.5 Multiplication of a Vector by a Scalar
• 10.6 Product of Two Vectors

Chapter 11: Three Dimensional Geometry

• 11.1 Introduction
• 11.2 Direction Cosines and Direction Ratios of a Line
• 11.3 Equation of a Line in Space
• 11.4 Angle between Two Lines
• 11.5 Short Distance between Two Lines
• 11.7 Coplanarity of Two Lines
• 11.8 Angle between Two Planes
• 11.9 Distance of a Point from a Plane
• 11.10 Angle between a Line and a Plane

Chapter 12: Linear Programming

• 12.1 Introduction to Linear Programmin
• 12.2 Linear Programming Problem and its Mathematical Formulation
• 12.3 Different Types of Linear Programming Problems

Chapter 13: Probability

• 13.1 Probability Introduction
• 13.2 Conditional Probability
• 13.3 Multiplication Theorem on Probability
• 13.4 Independent Events
• 13.5 Bayes’ Theorem
• 13.6 Random Variables and its Probability Distributions
• 13.7 Bernoulli Trials and Binomial Distribution

How Can BYJU’S Help in Class 12 Maths Preparation?

The lessons covered in the above articles (for which links are provided) are easy to understand and any student can easily understand the fundamentals thoroughly. The lessons even include various examples and practice questions to help the students develop problem-solving abilities which will not only help them during their class 12 board exams but will also help them for competitive exams.

At BYJU’S, students are also provided with free sample papers, question papers, tips, and important question to help them prepare more effectively. Also, register at BYJU’S to check various maths video lessons to be able to visualize and learn the topics more effectively.

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• CBSE Class 12 Maths Syllabus 2024-25 (Updated) PDF Download

CBSE Class 12 Maths Syllabus - Free PDF Download

The Class 12 Maths NCERT syllabus has been revised for the academic year 2024-25, as per the guidelines set by the Central Board of Secondary Education (CBSE) . The syllabus comprises six units, covering a wide range of topics including relations and functions, algebra, calculus, vectors and three-dimensional geometry, and linear programming.

The updated syllabus reflects the evolving trends in mathematics education, emphasizing problem-solving and practical applications. It introduces new topics such as matrices, determinants, and inverse trigonometric functions, enhancing the breadth and depth of mathematical knowledge for Class 12 students.

To access the detailed Class 12 Maths NCERT syllabus PDF, you can download the PDF version from Vedantu. The syllabus provides valuable insights into the examination pattern, question paper design, and internal assessment structure. 

Here are some of the key changes in the updated syllabus:

The number of units has been increased from five to six.

Increased focus on problem-solving skills

A number of new topics have been added, such as matrices, determinants, and inverse trigonometric functions.

Removal of some topics, such as sets and relations

A greater emphasis on applications of mathematics

CBSE Class 12 Maths Revised Syllabus 2024-25

Unit-I: Relations & Functions

1. Relations & Functions

Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.

2. Inverse Trigonometric Functions

Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.

Unit-Ii: Algebra

1. Matrices 

Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Oncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

2. Determinants

Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix

Unit-Iii: Calculus

1. Continuity and Differentiability

Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, like sin −1 𝑥 , cos −1 𝑥 and tan −1 𝑥, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives.

2. Applications of Derivatives

Applications of derivatives: rate of change of bodies, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as reallife situations).

3. Integrals

Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.

$\begin{aligned} &\int \frac{d x}{x^{2} \pm a^{2}}, \int \frac{d x}{\sqrt{x^{2} \pm a^{2}}}, \int \frac{d x}{\sqrt{a^{2}-x^{2}}}, \int \frac{d x}{a x^{2}+b x+c}, \int \frac{d x}{\sqrt{a x^{2}+b x+c}} \\ &\int \frac{p x+q}{a x^{2}+b x+c} d x, \int \frac{p x+q}{\sqrt{a x^{2}+b x+c}} d x, \int \sqrt{a^{2} \pm x^{2}} d x, \int \sqrt{x^{2}-a^{2}} d x \\ &\int \sqrt{a x^{2}+b x+c} d x \end{aligned}$

Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals

4. Applications of Integrals

Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)

5. Differential Equations

Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:

$\frac{dy}{dx}\;+py=q$, where p and q are functions of x or constants.

$\frac{dy}{dx}\;+px=q$, where p and q are functions of x or constants.

Unit-IV: Vectors and Three-Dimensional Geometry 

Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors. 

2. Three-Dimensional Geometry

Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines. 

Unit-V: Linear Programming

1. Linear Programming

Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints). 

Unit-VI Probability

1. Probability

Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable.

Research has been done by the Vedantu’s ‘syllabus setters’ inboard to facilitate students to learn and prepare themselves for the future world of science and technology. Students can study the math syllabus in detail where they can know their weak and strong areas and devote the time accordingly.

CBSE Class 12 Maths Study Materials 2024-25

Conclusion:.

The NCERT revised syllabus for Class 12 Maths serves as a comprehensive and well-structured framework for students. Developed by Vedantu in accordance with CBSE guidelines, the syllabus covers a wide range of topics. The updated syllabus for Class 12 Maths is more challenging than the previous syllabus. However, it also provides students with a more comprehensive understanding of mathematics and its applications. By focusing on developing their problem-solving skills and understanding the concepts thoroughly, students can prepare for the exam and succeed in their studies.

FAQs on CBSE Class 12 Maths Syllabus 2024-25 (Updated) PDF Download

1. How many units are there in the CBSE Class 12 Maths Syllabus NCERT? Which unit has the highest weightage?

In the CBSE Class 12 Maths Syllabus NCERT, there are a total of 6 units. Unit 3 calculus of Maths has the highest weightage of 35 marks. Many students find calculus a difficult topic but it's not true. Students can make their grasp strong over calculus by understanding the concepts and practising questions given in the NCERT book and also solving previous year question papers of the board exams. Calculus is not only an important topic of board exams but is also important from the competitive exams point of view. So this chapter must not be taken lightly.

2. Why is it important to go through the Class 12 Mathematics Syllabus before starting the preparation of maths?

It is quite important to go through the syllabus before starting the preparation for maths.  Because the students can prepare a study plan based on the syllabus. They can also get an idea about the purpose of the course and how to score good marks in the subject. A piece of knowledge about the syllabus from beforehand also makes it easy for the students to prepare a course calendar for them and they can invest time on different topics and assignments based on that.

3. How effectively can students use the CBSE class 12 maths syllabus?

Students can chalk out a study plan based on the CBSE class12 maths syllabus from day one of their class. Students can prepare themselves before the topic is taught in the classroom so that when the same topic is taught in the class they will already have a skeleton of the topic in their mind. In that way, they can strengthen their grasp of the topic and easily find out their weak points in that particular topic. Knowledge about the syllabus also helps the students to keep a track of the already completed topics on a regular basis.

4. Why should we download the NCERT Class 12 Maths Syllabus from Vedantu?

Vedantu provides the updated NCERT Syllabus for Class 12 Maths. The PDF of the syllabus is available online and can be easily downloaded. The syllabus is thus always with the student whenever they want they can have a view of the PDF of the syllabus. They can plan or replan their study schedule according to that without always carrying a cumbersome hard copy of the syllabus with them. 

5. What are the objectives of teaching Mathematics in the CBSE Class 12 syllabus?

Mathematics helps students to acquaint themselves with day-to-day calculations needed in everyday life. They also create a positive attitude of thinking and analyzing. Overall they create a critical knowledge and understanding of the subject by proper development of concepts and principles. Mathematics also creates a sense of national integration among them and they start valuing their nation and the work of great mathematicians.

CBSE Class 12 Syllabus

Previous year question paper for class 12.

CBSE NCERT Solutions

NCERT and CBSE Solutions for free

Class 12 Mathematics Matrices and Determinants Assignments

We have provided below free printable Class 12 Mathematics Matrices and Determinants Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 12 Mathematics Matrices and Determinants . These Assignments for Grade 12 Mathematics Matrices and Determinants cover all important topics which can come in your standard 12 tests and examinations. Free printable Assignments for CBSE Class 12 Mathematics Matrices and Determinants , school and class assignments, and practice test papers have been designed by our highly experienced class 12 faculty. You can free download CBSE NCERT printable Assignments for Mathematics Matrices and Determinants Class 12 with solutions and answers. All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Matrices and Determinants Class 12. Students can click on the links below and download all Pdf Assignments for Mathematics Matrices and Determinants class 12 for free. All latest Kendriya Vidyalaya Class 12 Mathematics Matrices and Determinants Assignments with Answers and test papers are given below.

Mathematics Matrices and Determinants Class 12 Assignments Pdf Download

We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 12 Mathematics Matrices and Determinants . Students and teachers can download and save all free Mathematics Matrices and Determinants assignments in Pdf for grade 12th. Our expert faculty have covered Class 12 important questions and answers for Mathematics Matrices and Determinants as per the latest syllabus for the current academic year. All test papers and question banks for Class 12 Mathematics Matrices and Determinants and CBSE Assignments for Mathematics Matrices and Determinants Class 12 will be really helpful for standard 12th students to prepare for the class tests and school examinations. Class 12th students can easily free download in Pdf all printable practice worksheets given below.

Topicwise Assignments for Class 12 Mathematics Matrices and Determinants Download in Pdf

Advantages of Class 12 Mathematics Matrices and Determinants Assignments

• As we have the best and largest collection of Mathematics Matrices and Determinants assignments for Grade 12, you will be able to easily get full list of solved important questions which can come in your examinations.
• Students will be able to go through all important and critical topics given in your CBSE Mathematics Matrices and Determinants textbooks for Class 12 .
• All Mathematics Matrices and Determinants assignments for Class 12 have been designed with answers. Students should solve them yourself and then compare with the solutions provided by us.
• Class 12 Students studying in per CBSE, NCERT and KVS schools will be able to free download all Mathematics Matrices and Determinants chapter wise worksheets and assignments for free in Pdf
• Class 12 Mathematics Matrices and Determinants question bank will help to improve subject understanding which will help to get better rank in exams

Frequently Asked Questions by Class 12 Mathematics Matrices and Determinants students

At https://www.cbsencertsolutions.com, we have provided the biggest database of free assignments for Mathematics Matrices and Determinants Class 12 which you can download in Pdf

We provide here Standard 12 Mathematics Matrices and Determinants chapter-wise assignments which can be easily downloaded in Pdf format for free.

You can click on the links above and get assignments for Mathematics Matrices and Determinants in Grade 12, all topic-wise question banks with solutions have been provided here. You can click on the links to download in Pdf.

We have provided here topic-wise Mathematics Matrices and Determinants Grade 12 question banks, revision notes and questions for all difficult topics, and other study material.

We have provided the best collection of question bank and practice tests for Class 12 for all subjects. You can download them all and use them offline without the internet.

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