Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store

NCERT Solutions for Class 11 Maths - 2026-27

ffImage
banner

Download NCERT Class 11 Maths Solutions PDF

NCERT Solutions for Class 11 Maths help students understand important concepts from the CBSE syllabus through clear explanations, solved examples, and step-by-step methods. 

toc-symbolTable of Content
toggle-arrow


These solutions cover chapters like Quadratic Equations, Trigonometry, Statistics, and other key topics, making it easier for students to solve problems, clear doubts, and improve their mathematical skills.


Designed as a useful learning resource, these Class 11 Maths NCERT Solutions provide structured answers for textbook exercises and exam preparation. Students can access the solutions in PDF format and use them along with their Class 11 Maths NCERT book to practise questions, understand problem-solving approaches, and prepare confidently for examinations.


NCERT Solutions Class 11 Maths Chapter-wise PDF Download


Note: The chapters on Principle of Mathematical Induction and Mathematical Reasoning have been excluded from the Class 10 Maths textbook


Also check for: What are the important topics covered in the NCERT Solutions Class 11 Maths?

Competitive Exams after 12th Science
tp-imag
bottom-arrow
tp-imag
bottom-arrow
tp-imag
bottom-arrow
tp-imag
bottom-arrow
tp-imag
bottom-arrow
tp-imag
bottom-arrow

NCERT Solutions for Class 11 Maths Chapter 1 Sets Details, Formulas and Exercises PDF

Chapter 1 - Sets

A set is defined as the characterised accumulation of the various items. Sets are an integral part of modern-day Mathematics. The concepts in this chapter include different types of sets, various set operations and Venn diagrams. The concepts of relations and functions are characterised by using sets. Learning of sets also aids in the understanding of the concepts of sequences, probability, geometry and more. 


Chapter 1 - Sets Exercises in PDF Format

Class 11 Maths Chapter 1 Exercise 1.1 - 6 Questions & Solutions

Class 11 Maths Chapter 1 Exercise 1.2 - 6 Questions & Solutions

Class 11 Maths Chapter 1 Exercise 1.3 - 9 Questions & Solutions

Class 11 Maths Chapter 1 Exercise 1.4 - 12 Questions & Solutions

Class 11 Maths Chapter 1 Exercise 1.5 - 7 Questions & Solutions

Class 11 Maths Chapter 1 Miscellaneous Exercise - 10 Questions & Solutions



Chapter 2 - Relations and Functions

An upgrade on Sets, Relations and Functions explores the idea of linking pairs of objects from two different sets and then deriving relations between the said objects of the pair. Certain relations qualify as functions, a crucial concept in Mathematics for its capturing of the idea of two quantities corresponding with each other and the correspondence is mathematically precise.

 

Chapter 2 - Relations and Functions Exercises in PDF Format

Class 11 Maths Chapter 2 Exercise 2.1 - 10 Questions & Solutions

Class 11 Maths Chapter 2 Exercise 2.2 - 9 Questions & Solutions

Class 11 Maths Chapter 2 Exercise 2.3 - 5 Questions & Solutions

Class 11 Maths Chapter 2 Miscellaneous Exercise - 12 Questions & Solutions



Chapter 3 - Trigonometric Functions

This chapter generalises the concepts of trigonometric ratios to trigonometric functions, along with the study of their properties. Students get to explore the dynamic world of trigonometry as they attempt and solve the various numerical problems provided in this chapter.


Chapter 3 - Trigonometric Functions Exercises in PDF Format

Class 11 Maths Chapter 3 Exercise 3.1 - 7 Questions & Solutions

Class 11 Maths Chapter 3 Exercise 3.2 - 10 Questions & Solutions

Class 11 Maths Chapter 3 Exercise 3.3 - 25 Questions & Solutions

Class 11 Maths Chapter 3 Miscellaneous Exercise - 9 Questions & Solutions



Chapter 4 - Complex Numbers and Quadratic Equations

This chapter introduces students to the concept of complex numbers and their relation to quadratic equations. It explores the properties of complex numbers, including algebraic operations and graphical representation. Additionally, it covers the solutions of quadratic equations involving complex roots, along with the fundamental theorem of algebra.


Chapter 4 - Complex Numbers and Quadratic Equations Exercises in PDF Format

Class 11 Maths Chapter 4 Exercise 4.1 - 14 Questions & Solutions

Class 11 Maths Chapter 4 Miscellaneous Exercise  - 14 Questions & Solutions



Chapter 5 - Linear Inequalities

Chapter 5 delves into the concept of linear inequalities, a fundamental topic in algebra. Linear inequalities are expressions involving linear functions that express a relationship between two variables, stating that one is less than, greater than, or equal to the other. These inequalities are widely used to represent constraints or conditions in various real-life situations.


Chapter 5 - Linear Inequalities Exercises in PDF Format

Class 11 Maths Chapter 5 Exercise 5.1 - 26 Questions & Solutions

Class 11 Maths Chapter 5 Miscellaneous Exercise - 14 Questions & Solutions



Chapter 6 - Permutations and Combinations

Chapter 6, "Permutations and Combinations," introduces students to advanced mathematical concepts with applications in various fields. This chapter consists of 4 exercises with 31 questions covering permutations and combinations. It includes fundamental principles of counting, basic arrangements and selections, permutations under certain conditions, division of objects, permutations of alike objects, distribution of alike objects, circular permutations, selection of objects, number of divisors, sum of divisors, and rearrangements.


Chapter 6 - Permutations and Combinations Exercises in PDF Format

Class 11 Maths Chapter 6 Exercise 6.1 - 6 Questions & Solutions

Class 11 Maths Chapter 6 Exercise 6.2 - 5 Questions & Solutions

Class 11 Maths Chapter 6 Exercise 6.3 - 11 Questions & Solutions

Class 11 Maths Chapter 6 Exercise 6.4 - 9 Questions & Solutions

Class 11 Maths Chapter 6 Miscellaneous Exercise - 11 Questions & Solutions



Chapter 7 - Binomial Theorem

Persian Mathematician Omar Khayyam, in the 11th century, provided the general formula for (a + b)n, where n is a positive whole number. This equation or its expansion has been provided in this chapter Binomial hypothesis. Chapter 7 of Class 11 Maths NCERT Solutions is “Binomial Theorem”. 


Chapter 7 - Binomial Theorem Exercises in PDF Format

Class 11 Maths Chapter 7 Exercise 7.1 - 14 Questions & Solutions

Class 11 Maths Chapter 7 Miscellaneous Exercise - 6 Questions & Solutions



Chapter 8 - Sequences and Series

Chapter 8, "Sequence and Series," covers topics like Geometric Progression, Arithmetic Progression, General Term of a G.P, and Sum to n terms of a G.P. This chapter is important in exams, so practice all exercises. It starts with definitions of sequence, series, and progression, then covers arithmetic and geometric progressions, means, sigma notations, and special sequences. Formulas need to be memorized for easy problem-solving in Class 11 Maths.


Chapter 8 - Sequences and Series Exercises in PDF Format

Class 11 Maths Chapter 8 Exercise 8.1 - 14 Questions & Solutions

Class 11 Maths Chapter 8 Exercise 8.2 - 8 Questions & Solutions

Class 11 Maths Chapter 8 Miscellaneous Exercise - 18 Questions & Solutions




Chapter 9 - Straight Lines

In Chapter 9, you will learn about topics like Slope of a line, angle between two lines, Collinearity, and more. Practice all three exercises. It covers the distance formula, section formula, centroid, incentre, excentre, area of triangle, and equation of a straight line. It also includes concepts like position of a point relative to a line, angle between two lines, parallel and perpendicular lines, and bisectors of angles between lines.


Chapter 9 - Straight Lines Exercises in PDF Format

Class 11 Maths Chapter 9 Exercise 9.1 - 14 Questions & Solutions

Class 11 Maths Chapter 9 Exercise 9.2 - 20 Questions & Solutions

Class 11 Maths Chapter 9 Exercise 9.3 - 18 Questions & Solutions

Class 11 Maths Chapter 9 Miscellaneous Exercise - 23 Questions & Solutions



Chapter 10 - Conic Sections

Chapter 10 of Class 11 Maths NCERT Solutions covers conics, including circles, ovals, parabolas, and hyperbolas. It delves into their significance and applications on the x, y, and z axes. Topics include the definition and properties of conic sections, distinguishing various conics, terminology of parabolas, ellipses, and hyperbolas, parametric representations, positions of points relative to these curves, tangents, normals, and more.


Chapter 10 - Conic Sections Exercises in PDF Format

Class 11 Maths Chapter 10 Exercise 10.1 - 15 Questions & Solutions

Class 11 Maths Chapter 10 Exercise 10.2 - 12 Questions & Solutions

Class 11 Maths Chapter 10 Exercise 10.3 - 20 Questions & Solutions

Class 11 Maths Chapter 10 Exercise 10.4 - 15 Questions & Solutions

Class 11 Maths Chapter 10 Miscellaneous Exercise - 20 Questions & Solutions



Chapter 11 - Introduction to Three Dimensional Geometry

Conic sections pave the way for 3D geometry as we learn about the applications of the conical segments here as well.  Coordinate geometry has been extensively dealt with in this chapter, and students also get to practise from the three exercises. This chapter talks about coordinate axes, coordinate planes, coordinates of a point in space, distance between two points, and section formula.


Chapter 11 - Introduction to Three Dimensional Geometry Exercises in PDF Format

Class 11 Maths Chapter 11 Exercise 11.1 - 4 Questions & Solutions

Class 11 Maths Chapter 11 Exercise 11.2 - 5 Questions & Solutions

Class 11 Maths Chapter 11 Miscellaneous Exercise - 4 Questions & Solutions



Chapter 12 - Limits and Derivatives

Calculus, a very important concept of Mathematics, associated with the study of change in the value of a function with the change of points in the domain is explained in this chapter. Students, through this chapter, are introduced to the vast world of calculus, which finds a host of applications across various fields. 


Chapter 12 - Limits and Derivatives Exercises in PDF Format

Class 11 Maths Chapter 12 Exercise 12.1 - 32 Questions & Solutions

Class 11 Maths Chapter 12 Exercise 12.2 - 11 Questions & Solutions

Class 11 Maths Chapter 12 Miscellaneous Exercise - 30 Questions & Solutions



Chapter 13 - Statistics

Statistics is an important part of higher mathematics, covering topics like range, mean deviation, measures of dispersion, standard deviation, and mean deviation for ungrouped data. This chapter introduces key terms such as statistics, class limit, class interval, primary and secondary data, variable, frequency, and types of frequency distributions. It also explains graphical representation methods like histograms, bar diagrams, pie charts, frequency polygons, and cumulative frequency curves.


Chapter 13 - Statistics Exercises in PDF Format

Class 11 Maths Chapter 13 Exercise 13.1 - 12 Questions & Solutions

Class 11 Maths Chapter 13 Exercise 13.2 - 10 Questions & Solutions

Class 11 Maths Chapter 13 Miscellaneous Exercise - 6 Questions & Solutions



Chapter 14 - Probability

Probability is computing the level of the conviction of occasions under perfect conditions. A much-used concept in various spheres of life, students should make sure they understand the underlying core concerts and the applications in order to attempt a maximum number of questions from this chapter.


Chapter 14 - Probability Exercises in PDF Format

Class 11 Maths Chapter 14 Exercise 14.1 - 16 Questions & Solutions

Class 11 Maths Chapter 14 Exercise 14.2 - 7 Questions & Solutions

Class 11 Maths Chapter 14 Miscellaneous Exercise - 10 Questions & Solutions



CBSE Class 11 Maths Weightage 2026-27

Units

Unit Name

Marks

I

Sets and Functions

23

II

Algebra

25

III

Coordinate Geometry

12

IV

Calculus

08

V

Statistics & Probability

11


Total

80


Internal Assessment for CBSE Class 11

Internal Assessment

Marks

Periodic Tests (Best 2 out of 3 tests conducted)

10 Marks

Mathematics Activities

10 Marks

Total Marks

20 Marks


Vedantu’s Class 11 Maths NCERT Solutions help students understand mathematical concepts with clear explanations and step-by-step answers for every chapter. These NCERT solutions class 11 maths make problem-solving easier, improve conceptual clarity, and support effective revision for school exams.


Students can use these NCERT Class 11 maths solutions to practise textbook questions, clear doubts, and prepare confidently. The class 11 maths NCERT solutions PDF and NCERT maths solutions class 11 PDF download options provide convenient access to chapter-wise solutions for regular practice and exam preparation.


Important Related Links for CBSE Class 11 Maths

WhatsApp Banner

FAQs on NCERT Solutions for Class 11 Maths - 2026-27

1. Are Vedantu’s NCERT Solutions enough for Class 11 Maths exam preparation?

Yes, the Class 11 Maths NCERT Solutions along with the NCERT textbook provide a strong foundation for CBSE exam preparation. These step-by-step solutions help students understand concepts, follow the correct solving approach, and practise important questions from each chapter. For additional practice, students can also refer to NCERT Exemplar problems.

2. How do Class 11 Maths NCERT Solutions help improve exam scores?

The NCERT Solutions Class 11 Maths provide detailed explanations for textbook problems and help students understand different methods of solving questions. By practising these solutions regularly, students can improve accuracy, strengthen concepts, and manage their time effectively during exams.

3. Are the NCERT textbook and its solutions sufficient for the Class 11 Maths final exam?

Yes, the NCERT textbook forms the base of the Class 11 Maths syllabus, and using NCERT Class 11 Maths Solutions helps students understand exercise questions and important problem-solving techniques. For advanced practice and application-based questions, students can also explore NCERT Exemplar problems.

4. Which chapters in Class 11 Maths hold the most weightage in the final exam?

According to the CBSE exam pattern for 2026-27, the marks are distributed across units. The units with significant weightage are:

  • Sets and Functions: Covers fundamental concepts and carries high importance.

  • Algebra: Includes topics like Complex Numbers, Linear Inequalities, and Sequences and Series.

  • Coordinate Geometry: Focuses on Straight Lines and Conic Sections.

  • Calculus: Introduces Limits and Derivatives, a crucial unit for Class 12.

Using Class 11 Maths NCERT Solutions PDF for chapter-wise revision can help students practise these important topics effectively.

5. What is an effective strategy to use these NCERT Solutions for exam preparation?

Students should first attempt textbook exercises independently and then refer to NCERT Solutions for Class 11 Maths to check their approach. This helps them:

  • Verify their answers and check the methodology.

  • Understand the step-wise marking scheme followed by CBSE.

  • Identify and learn from their mistakes.

  • Discover more efficient or alternative methods to solve a problem.

  • This approach strengthens both your understanding and your exam performance.

6. Which topics in Class 11 Maths are generally considered the most challenging?

While difficulty is subjective, students often find the following chapters more demanding due to their abstract nature and complex problem-solving techniques:

  • Trigonometric Functions: Involves numerous identities and graphs.
  • Permutations and Combinations: Requires strong logical reasoning.
  • Conic Sections: Involves detailed geometric derivations.
  • Limits and Derivatives: A foundational but conceptually new topic in calculus.

7. What is the difference between NCERT textbook exercises and NCERT Exemplar problems?

NCERT textbook exercises focus on building fundamental concepts and covering the prescribed syllabus. NCERT Exemplar problems are designed for deeper understanding and application-based learning, helping students prepare for higher-level questions and competitive exams.

8. How can using NCERT Solutions improve problem-solving speed and accuracy?

  • Regular practice with the Class 11 Maths NCERT book PDF with solutions helps students understand the correct problem-solving approach and avoid common mistakes. 

  • Reviewing step-by-step methods improves calculation accuracy, builds confidence, and helps students solve questions more efficiently during exams.

Trending pages