# NCERT Solutions for Class 11-science Maths CBSE

Develop your reasoning power with TopperLearning’s NCERT solutions for CBSE Class 11 Science Mathematics. It teaches you concepts which will enable you to provide proofs and solve problems in real situations. Learn again about the principle of mathematical induction. Practise problems on limits and derivatives. The revision experience with NCERT solutions is preferred by most students because of the support from experts.

Experienced teachers understand the CBSE Class 11 syllabus and are aware of the latest paper pattern and marking scheme prescribed by the CBSE board. At TopperLearning, you will find the free textbook solutions prepared by these qualified subject experts easily. These NCERT Solutions for CBSE Class 11 Maths can guide you to compare your answers for textbook questions and revise the ideal approach to solve a Maths problem.

We make sure to update the textbook solutions by eliminating content that are part of the deleted syllabus of CBSE Class 11. The up-to-date NCERT solutions for Class 11 Mathematics make sure that you save time by focussing only on study materials that are relevant as per your CBSE syllabus for Class 11 Maths. Further, you can explore the CBSE Class 11 Sample Paper 2020-21 to hone your exam skills and use our answer keys for self-assessments.

Maths concepts can be complex and may require you to go through multiple rounds of revision for clarity. However, there can still be certain doubts. Many of the doubts can get resolved during your revision with NCERT solutions for CBSE Class 11 Maths textbook solutions. Resolve them through our doubt solver platform ‘Undoubt’ and get answers from experts. For more Maths exam preparation support materials, check our CBSE Online Class 11 videos, practice tests, CBSE Sample Paper Class 11, previous year question papers and more.

## NCERT Solutions for CBSE Class 11 Science Mathematics Chapters

NCERT Solutions for CBSE Class 11 Mathematics Chapter 1 - Sets

Access the NCERT Solutions for CBSE Class 11 Mathematics Chapter 1 - Sets to revise concepts like finite sets and infinite sets. Go through examples in the expert solutions to understand what is a collection and how to identify different types of sets. The experts have shared answers on the Venn diagram, universal set and power set to help you.

In this chapter, you can also learn about the union and intersection of the set to explain statements with our NCERT Solutions for Class 11 Mathematics. And for questions, our ‘Ask the Expert’ platform is the best place for resolving doubts with expert support.

Revise NCERT Solutions for CBSE Class 11 Mathematics Chapter 2 - Relations and Functions to understand the linking of objects that are found in a pair. Understand real-valued functions, modulus, domain, etc. Practise pictorial representation of a function with the solutions given by our Maths subject experts.

Also, the chapter covers NCERT solutions for CBSE Class 11 Maths on concepts like the cartesian product of sets, signum, logarithmic functions, etc. Ask questions about functions and relations using our ‘Ask The Expert’ platform. Our experts are available to support you whenever you need them via our online learning portal.

Revise NCERT Solutions for CBSE Class 11 Mathematics Chapter 3 - Trigonometric Functions to practise Maths problems for your exam. Discover the world of sine, cosine, tangent, cosecant, etc. while learning about trigonometric functions. Study the Maths solutions to learn to express sin (x±y) as sinx and other similar problems. Further, understand the properties of trigonometric functions easily with our comprehensive textbook solutions for Class 11.

In addition, understand how to apply trigonometric concepts to find answers for simple real-world problems using our NCERT solutions for CBSE Class 11 Maths. While revising the chapter, you may have doubts about negative angles or unit circle. Look for answers in the ‘Undoubt’ doubt and solutions section. Other than that, you may resolve your concerns using the doubt solver ‘Ask The Expert’ platform.

Practise the NCERT Solutions for CBSE Class 11 Science Mathematics Chapter 4 - Principle of Mathematical Induction thoroughly to learn Maths lessons. This chapter will guide with different types of questions and answers to apply the principle of mathematical induction. Learn how to provide proof by induction with the step-by-step CBSE Class 11 Maths solutions given by subject experts.

If you have chapter-specific doubts or have queries on the basics of real numbers or natural numbers, check our other study materials like NCERT Solutions for CBSE Class 11 Maths and CBSE Class 11 Sample Paper 2020-21. Many student queries are already resolved in the ‘Undoubt’ doubts and solutions section of our e-learning portal. The other student materials like CBSE Sample Paper Class 11, textbook solutions, etc. are constantly updated to keep up with the latest CBSE Class 11 syllabus.

Get the accurate NCERT Solutions for CBSE Class 11 Mathematics Chapter 5 - Complex Numbers and Quadratic Equations at TopperLearning. The chapter guides with lessons on argand plane, square root of a complex number, etc. Relearn the algebraic properties of complex numbers with our free textbook solutions.

The NCERT solutions for CBSE Class 11 Maths textbook solutions also support you with guidance on the polar representation of complex numbers. To self-assess your problem-solving skills, utilise our CBSE Sample Paper Class 11, online practice tests and previous year question papers.

Add NCERT Solutions for CBSE Class 11 Mathematics Chapter 6 - Linear Inequalities to your revision resources for exam preparation. Study problems around algebraic solutions of linear inequalities in one variable. Review the answers drafted by subject experts to learn how to represent linear inequalities in two variables in a graphical format.

Understand linear inequalities with NCERT solutions for CBSE Class 11 Maths. At TopperLearning, you will find solutions for not just the textbook questions but also CBSE Sample Paper Class 11 and previous year question papers. For more e-learning resources, read the doubts and solutions in our study portal’s ‘Undoubt’ section which are designed as per the CBSE Class 11 syllabus.

Revise NCERT Solutions for CBSE Class 11 Mathematics Chapter 7 - Permutations and Combinations to understand chapter concepts. Understand the fundamental principle of counting. Learn to find which of the given numbers are divisible or not divisible by a given number as per the topics in your CBSE Class 11 syllabus.

Revisit the definitions of permutations and combinations with our NCERT Solutions for Class 11 Mathematics. The expert answers will train you on approaches to use the permutation formula and combination formula. For more explanations on this topic, you can check our chapter videos, solved CBSE Sample Paper Class 11 and revision notes.

Practise our learning portal’s NCERT Solutions for CBSE Class 11 Mathematics Chapter 8 - Binomial Theorem for thorough revision. Learn to apply binomial theorem in exercise questions from your NCERT textbook with expert support. The textbook solutions made available at TopperLearning will be a handy revision material for understanding the applications of the binomial theorem.

The NCERT solutions for CBSE Class 11 Maths will also be advantageous for revising pascal’s triangle. Also, if you are not sure of general term or middle term in binomial expansion, utilise the ‘Ask The Expert’ platform at TopperLearning. Our experts are quick to resolve such queries.

Prepare for exams and understand Maths topics easily with NCERT Solutions for CBSE Class 11 Mathematics Chapter 9 - Sequences and Series. Revise the Maths solutions offered by our experts to learn in detail about Arithmetic Mean. Access to textbook solutions online allows you to study the chapter lessons as per your flexibility.

As you practise the CBSE Class 11 Maths solutions, you will also understand how Arithmetic Progression (A.P.) is approached differently from Geometric Progression (G.P.) in the Maths problems. To score marks, you need this conceptual understanding as the approach will help you to calculate the right answers in your exam. To build your skills, attempt CBSE Online Class 11 previous year question paper and the CBSE Class 11 Sample Paper 2020-21.

Relearn important concepts in geometry with NCERT Solutions for CBSE Class 11 Mathematics Chapter 10 - Straight Lines. In the solutions for this chapter, our academic experts guide you with revising the general equation of a line and the equation of different types of lines. Also, find out what shifting of origin means with our CBSE Class 11 Maths Solutions.

In this chapter, study problems based on the slope-intercept form, normal form, the distance of a point from a line, etc. Practise the problems from your Maths textbook with our NCERT solutions for CBSE Class 11 Maths textbook solutions to assess your attempted answers with answers by subject experts. At TopperLearning, you can revise this chapter further by browsing our online revision materials like CBSE Online Class 11 revision notes, CBSE Class 11 Maths Sample Paper, video lessons, and so on.

Do a thorough preparation of chapter concepts with NCERT Solutions for CBSE Class 11 Mathematics Chapter 11 - Conic Sections. Can you use standard equations of an ellipse to solve a problem? Are you confident about your knowledge of the standard equation of a circle? Revise the expert solutions to revisit calculations, as per the CBSE Class 11 syllabus, for the measurement of various sections of a cone.

By means of the NCERT solutions for Class 11 Mathematics Chapter 11, revisit lessons to understand shapes such as parabola, a straight line, ellipse, a point, etc. Apart from these solutions, watch the video lessons, practise problems from a CBSE Sample Paper Class 11 or skim through revision notes to score well in your exam.

Get conceptual support with NCERT Solutions for CBSE Class 11 Mathematics Chapter 12 - Introduction to Three Dimensional Geometry. You may have learned two-dimensional geometry in your earlier classes. In this chapter, learn the basics of three-dimensional geometry with our free textbook solutions.

Using the NCERT solutions for CBSE Class 11 Maths, you will be able to understand the significance of coordinate axes and coordinate planes. There are several problems where you get to learn the steps for applying the section formula to calculate the distance between two points. For doubt resolution support, check our ‘Undoubt’ section to access responses to common queries from experts.

Practise the questions from this chapter with NCERT Solutions for CBSE Class 11 Mathematics Chapter 13 - Limits and Derivatives. Solve problems around derivatives of polynomial and limits of a polynomial. Practise graphs based on derivatives. By learning from our chapter solutions, take a closer look at the solutions involving the derivative of the product of functions and more.

Besides, the NCERT solutions for Class 11 Mathematics can be used to understand the relationship between the scope of the tangent of a curve and a derivative. To dive deeper into chapter concepts, explore our CBSE Sample Paper Class 11, video lessons, revision notes and other study materials.

NCERT Solutions for CBSE Class 11 Mathematics Chapter 14 - Mathematical Reasoning

Study NCERT Solutions for CBSE Class 11 Mathematics Chapter 14 - Mathematical Reasoning to revise your chapter lessons. In this interesting Math chapter, improve your ability to provide adequate reasoning for statements based on your knowledge of the subject. By utilising the chapter solutions, learn to use connecting words and phrases to validate given statements.

The NCERT solutions for CBSE Class 11 Maths will include reasoning for a variety of statements from your textbook and enable you to think of answers logically. With the skills acquired from learning this chapter from your CBSE Class 11 syllabus, you will understand ways to solve real-life problems with Mathematics. Besides, check the CBSE Class 11 Sample Paper 2020-21 for chapter-specific questions and improve your skills with self-assessment.

NCERT Solutions for CBSE Class 11 Mathematics Chapter 15 - Statistics

Learn the measure of dispersion effectively with NCERT Solutions for CBSE Class 11 Mathematics Chapter 15 – Statistics. How to create frequency distribution tables? What steps would you take to calculate the mean deviation in a given problem? All these queries related to mathematical problems can be understood better with model solutions by our Maths subject experts.

Beyond that, figure out the concept of variance and revise the ways to work with a standard deviation of data. Our NCERT Solutions for Class 11 Mathematics are available in an easy-to-navigate format for topic revision. Use them as many times as needed to feel confident about working with statistics-based Math problems. And don’t worry, these solutions are reviewed from time to time to eliminate solutions that are part of the deleted syllabus of CBSE Class 11.

NCERT Solutions for CBSE Class 11 Mathematics Chapter 16 - Probability

Learn the theories and applications of probability with our NCERT Solutions for CBSE Class 11 Mathematics Chapter 16 – Probability. Practise textbook questions based on random experiments and grasp them while reviewing our expert solutions. Revise different types of events and find out which ones are exhaustive events and which ones are mutually exclusive events.

The NCERT solutions for CBSE Class 11 Maths are surely useful but there may still be question-related to the chapter-specific Mathematics problems. If questions on axiomatic probability are stuck in your mind, get it cleared by posting questions using TopperLearning’s ‘Ask The Expert’ platform. To practise questions related to probability, you can check our CBSE Sample Paper Class 11, online practice tests and previous year question papers.

## What are the benefits of using NCERT CBSE Class 11 Maths Textbook Solutions?

When you are empowered with model solutions like NCERT solutions for CBSE Class 11 Maths textbook solutions, you have the power to improve your Maths knowledge. Instead of feeling clueless about solving certain questions from your textbook, you can get to work immediately. Check the accurate answers and note the mistakes that led you to the wrong answer.

Repeat practising the NCERT solutions for Class 11 Mathematics to thoroughly memorise the techniques in the model answer. Unlike other subjects, Maths does not have a fixed question or answer. You may get statements that you need to validate with proper explanations. In certain questions, you may be asked to solve a real problem using the given data or there may be a question asking you to represent the answer on a graph. Therefore, the problem-solving methodology demonstrated in the NCERT solutions is something that you should focus on grasping.

For more details on syllabus topics, refer to our CBSE Class 11 syllabus. The speed and time for solving problems can be assessed with the availability of the CBSE Class 11 Maths Sample Paper along with solutions. When you attempt mock exam question papers designed by experts, you would be able to understand your areas of improvement. Then, pick suitable study material to work on the identified weak areas and prepare better for exams.

If you feel you are the only one with anxiety about Maths topics, think again. NCERT Solutions for CBSE Class 11 Maths textbook solutions can benefit you but there’s more help available too. There are students who have several queries and many of these questions are answers in our ‘Undoubt’ section. You may find some of your Maths queries already answered in the doubts and solutions collection at our study portal. Here, you will filter doubts on the basis of chapters such as limits and derivatives, sets, probability, and more.

Again, Mathematics requires effort from your end if you want to get past the tough questions with a clear problem-solving approach. NCERT Solutions for CBSE Class 11 Maths textbook solutions are not designed just to give you handy answers but to support you with various approaches to solve a Math problem. With the right amount of practice, you will not build your confidence to solve Maths problems from an exam perspective, you will also become a smarter person.

You will be able to think logically about solving real problems with mathematical techniques explained in the NCERT Solutions for Class 11 Mathematics. And maybe you will enjoy the subject so much that you will want to participate in Math Olympiads or choose a career requiring advanced knowledge of Mathematics. The study resources that you use to practise Class 11 Maths problems will also be of great help when you set out to excel in entrance exams like JEE and NEET. The reason is, many of the entrance exams consist of topics from the CBSE syllabus for Class 11 Maths.

To make Maths enjoyable, we have CBSE Online Class 11 concept videos. You can watch them online and play the video again as needed. NCERT Solutions for CBSE Class 11 Maths textbook solutions can be reviewed again after watching the videos. If you are not sure how well you are prepared for the Maths exam, try using self-assessment tools like CBSE Sample Paper Class 11 and previous year exam papers. All these online resources with doubt solver platform support are likely to make you better at tackling Mathematics questions which will help you in academic performance too.

Mock exams are beneficial for assessing your Math capabilities. CBSE Class 11 Maths Sample Paper are great for attempting mock exams at a time suitable for you. The questions in the sample paper are laid out as per the marking scheme and paper pattern released by the CBSE board. These sample papers carry answers keys to enable you with the right tools for self-evaluation.

## Why choose TopperLearning for CBSE Online Class 11 free textbook solutions?

You attended your classes and learned the Maths chapters from your CBSE Class 11 syllabus. But as time passes, you tend to remember some concepts and forget some too. Consistent revision is needed to thoroughly grasp the concepts so that you learn how to use them while solving problems during your exam. Based on how much you like the subject, you may be keen on practising the NCERT solutions for CBSE Class 11 Maths textbook solutions or just procrastinating.

However, self-study can be an effective way to revise your lessons with CBSE Class 11 Maths Solutions. With nobody asking you to study a particular topic or take a test, you can choose how you want to plan your studies. The freedom to plan your revision may motivate you to revise your Maths lessons. All you need is the right study material. At TopperLearning, the self-study materials like NCERT Solutions for CBSE Class 11 Maths textbook solutions and CBSE Class 11 Sample Paper 2020-21 are accessible online at your convenience. You can go through the available study material and create your custom learning plan as per the topics that are difficult or easy for you to understand.

NCERT Solutions for Class 11 Mathematics are a must in every learning plan. These important solutions include all the topics that are part of your latest CBSE syllabus for Class 11 Maths. To be extra sure of the relevance of these solutions and other learning material, we conduct content reviews to remove materials that are from the deleted syllabus of CBSE Class 11. If you want to go back to basics or need explanations of concepts, video lessons by subject experts will be invaluable during revision.

The chapters that are covered in the NCERT solutions for CBSE Class 11 Maths textbook solutions include statistics, straight lines, complex numbers and quadratic equations, etc. Whether the equations seem mind-boggling or constructing a diagram feels too difficult, we have support materials to give you clarity of these equations. CBSE Class 11 Sample Paper 2020-21 is a useful resource to explore various questions types that are likely to come in your exam.

Covering the entire CBSE Class 11 syllabus for the exam is definitely a daunting task. But with the determination to succeed, you can plan the revision in parts or one chapter at a time. Our learning materials including NCERT solutions for CBSE Class 11 Maths textbook solutions are organised in a chapter-wise sequence. You can pick any chapter as per your preference for revision.

In Class 11, you may find topics from earlier classes covered again along with a few new topics. For example, you studied two-dimensional geometry earlier and now, you are introduced to three-dimensional geometry. In such cases, if you have questions or need clarity on concepts covered in earlier classes, simply post your queries through TopperLearning’s ‘Ask The Expert’ Doubt Solver platform. In addition, revise NCERT solutions for CBSE Class 11 Maths textbook solutions to ensure thorough exam preparation.

## Frequently Asked Questions (FAQs) for CBSE Class 11 Maths Solutions

1.       Which are the important chapters in the CBSE Class 11 Maths syllabus?

While all CBSE Class 11 syllabus chapters are important, the chapter units which are important because of the high weightage of marks are sets and functions, algebra, and statistics and probability. Revise with CBSE Class 11 Maths solution.

2.       Which chapter covers the topic of slope-intercept form?

You can find answers on slope-intercept form in the NCERT solutions for CBSE Class 11 Mathematics Chapter 10 Straight Lines.

3.       In which chapter can I find problems and solutions on the section formula?

You can find the required study materials to grasp the section formula at TopperLearning. These include NCERT Solutions for CBSE Class 11 Mathematics Chapter 12 - Introduction to Three Dimensional Geometry and CBSE Class 11 Maths Sample Paper.

4.       What are the topics covered in the chapter on conic sections?

Learn about the characteristics of the ellipse, hyperbola, parabola, etc. in the NCERT Solutions for CBSE Class 11 Mathematics Chapter 11 - Conic Sections.

5.      Where to find answers on the cartesian product of sets?

The cartesian product of sets is a topic explained in the revision materials such as NCERT Solutions for CBSE Class 11 Mathematics Chapter 2 - Relations and Functions and CBSE Class 11 Maths Sample Paper.

6.      What are the key concepts in Chapter 8?

The important concepts in Chapter 8 include Pascal’s triangle, binomial theorem for positive integral indices, general term in binomial expansion and middle term in binomial expansion. Grasp these with our NCERT solutions for CBSE Class 11 Maths textbook solutions.

7.      Which chapter covers revision material on the fundamental principle of counting?

Chapter 7 covers this topic. You can access related revision materials like NCERT Solutions for CBSE Class 11 Mathematics Chapter 7 - Permutations and Combinations and CBSE Class 11 Sample Paper 2020-21 at TopperLearning.

8.       How do I get clarity on derivatives of polynomial functions?

For clarity on derivatives of polynomial functions, you can refer to our online study materials like NCERT Solutions for CBSE Class 11 Maths textbook solutions and ‘Undoubt’ questions and answers. Alternatively, our ‘Ask The Expert’ platform is available for requesting a response from subject experts.

9.       What topics can I learn with NCERT solutions for CBSE Class 11 Statistics?

Mean, variance, the standard deviation of grouped data, the standard deviation of ungrouped data, etc. are some of the topics you can revise with NCERT solutions for Class 11 Mathematics Statistics.

10.   How to prepare for the CBSE Class 11 Mathematics exam?

E-learning materials like NCERT Solutions for CBSE Class 11 Maths textbook solutions, concept CBSE Online Class 11 videos, CBSE Sample Paper Class 11 solutions, etc. are some of the top study materials that can help you with exam preparation from any place and at any time.

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