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NCERT Solutions for Class 11 Maths - Download Chapter Wise PDF

NCERT Solutions for Class 11 Maths - Download Chapter Wise PDF

Edited By Komal Miglani | Updated on Jul 03, 2025 01:18 PM IST

Still on the fence? Let me save you time—this article is worth it. These NCERT Solutions will turn your confusion into confidence, one step at a time. Students who have just passed the board exam and joined class 11 often think about some questions, such as How many chapters are there in Maths class 11, Are the math chapters in class 11 more difficult than those in class 10 or Is the textbook enough to cover all the NCERT Maths class 11 concepts. This article will clear all their doubts and give an idea of all the Maths chapters of the NCERT class 11 solutions.

JEE Main Scholarship Test Kit (Class 11): Narayana | Physics WallahAakash Unacademy

Suggested: JEE Main: high scoring chaptersPast 10 year's papers

NCERT Solutions for Class 11 Maths - Download Chapter Wise PDF
NCERT Solutions for Class 11 Maths - Download Chapter Wise PDF

With NCERT Solutions, learning becomes systematic and effective. These solutions are designed for every student, explained in a friendly, easy-to-understand way, with clear introductions to key concepts. Experienced Careers360 teachers have prepared this article following the latest CBSE syllabus. In this edition, there will be 14 chapters (Reduced from 16 chapters) that students have to cover. Students need to build a strong base of all the chapters. NCERT solutions for class 11 Maths are beneficial for practising and understanding the concepts well. For syllabus, notes, and PDF, refer to this link: NCERT.

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NCERT solutions for class 11 mathematics - Chapter Wise

We at Careers360 compiled all the NCERT class 11 Maths solutions in one place for easy student reference. The following links will allow you to access them.

NCERT Class 11 Maths Chapters and exercises Detail

In the 2025-26 CBSE syllabus, 14 chapters are included in class 11 Maths. Students need to create a routine incorporating all the chapters and divide an equal amount of time on each chapter before analysing their progression again. Here are some details on every chapter and the links to the exercises.

Chapter 1: Sets

“Sets” is one of the most important chapters in Class 11 Maths. For example, in a class, some students play cricket, some play football, and some play both sports. In this scenario, the concept of sets can be used.

Topics covered:

  • Sets and their representations
  • Types of sets
  • Subsets and power sets
  • Operation on sets
  • Complement of a set

Chapter 2: Relations & Functions

“Relations and Functions” chapter holds the utmost importance in the exam. In day-to-day life, we see a lot of relationships like mother, father, and brother. In Mathematics, it is also somewhat like that. Functions can be described as the mapping of students' roll numbers to their names.

Topics covered:

  • Cartesian product and relations
  • Functions and their properties
  • Types of functions
  • Domain, codomain, range

Chapter 3: Trigonometric Functions

“Trigonometric functions” is a very useful chapter not only in mathematics but also for various real-life situations like designing buildings and bridges, scaling height & distance, etc.

Topics covered:

  • Angles and their measurements
  • Trigonometric functions and identities
  • Sum and difference of angles
  • Trigonometric equations and applications

Chapter 4: Complex Numbers and Quadratic Equations

Numbers always have an impact on our lives. “Complex Numbers & Quadratic Equations” chapter will help students deal with imaginary numbers and find solutions to quadratic equations with complex roots. The learning from this chapter can be used in Physics as well as vector algebra.

Topics covered:

  • Introduction to complex numbers and operations
  • Modulus and conjugate
  • Polar representation
  • Quadratic equations with real coefficients

Chapter 5: Linear Inequalities

Suppose you go to the market with 1000 rupees, and you have to buy some books which cost Rs. 200 each, and some copies each cost Rs. 120. In this case, you have to create inequalities to check which combination is the best for you in your budget. So, you can see that learning Linear inequalities is an absolute necessity.

Topics covered:

  • Linear inequalities in one variable
  • Graphical solutions in two variables
  • Systems of linear inequalities

Chapter 6: Permutations and Combinations

Before starting the concepts of Permutations and Combinations, it is mandatory to be familiar with the concepts of the fundamental principle of counting.
If you have 3 friends, A, B, & C, and you want to arrange them in a line as ABC, then that process is called permutation, where order matters.
Again, if you want to choose two friends from A, B, and C, then choosing B & A is the same as choosing A & B. This is called Combinations, where order doesn't matter.

Topics covered:

  • Fundamental principle of counting
  • Permutations
  • Combinations
  • Their applications

Chapter 7: Binomial Theorem

The Binomial theorem is part of algebra, which describes the algebraic expansion of powers and binomials. In this chapter, we will study how to expand (a+b)n for positive integral values of n. Binomial theorem is used in the calculation of probabilities, in algebraic expansions and coding.

Topics covered:

  • Binomial expansion
  • Pascal's triangle
  • General and middle terms
  • Applications

Chapter 8: Sequences and Series

“Sequence & Series” is a very important chapter of algebra, which discusses Arithmetic progression and Geometric progression. Monthly savings in a bank account follow the arithmetic progression. But population growth or compound interest follows a geometric progression.

Topics covered:

  • Arithmetic progression
  • Geometric progression
  • Arithmetic mean
  • Geometric mean
  • Infinite GP

Chapter 9: Straight Lines

“Straight line” is an integral part of two-dimensional coordinate geometry. In our regular life, we see lots of geometric figures which are straight lines like roads, railway tracks, etc.

Topics covered:

  • Slope of a line
  • Different forms of line equations
  • Distance of a point from a line

Chapter 10: Conic Sections

In the “Conic section” chapter, students will find the concepts that will also be helpful in the application of integrals. The conic shapes, circle, hyperbola, parabola, and ellipse can be seen in various objects like Orbits of planets, satellite dishes, car headlights or footballs.

Topics covered:

  • Sections of a cone
  • Circle
  • Parabola
  • Ellipse
  • Hyperbola

Chapter 11: Introduction to Three-dimensional Geometry

In “Introduction to Three-Dimensional Geometry”, we will study how to represent a point in space, the distance between two points in three dimensions and section formulae. The usefulness of 3D geometry can be seen in various fields like video games, animation, architecture, space research, etc.

Topics covered:

  • Coordinate exes and planes in 3D
  • Coordinates of a point
  • Distance between two points
  • Section formula

Chapter 12: Limits and Derivatives

“Limits and Derivatives” is the opening chapter of calculus, where we learn to deal with the study of change in the function's value as the points in the domain change. Apart from calculus, these concepts are also used in physics, economics and biology.

Topics covered:

  • Limits
  • Evaluation of limits
  • Derivatives
  • Derivatives of polynomials and trigonometric functions

Chapter 13: Statistics

“Statistics” is a major part of Mathematics, and it has vast usage in our lives. From calculating exam results to sports performance, survey data to analysing weather reports, from media, politics to health studies, statistics is everywhere.

Topics covered:

  • Measures of dispersion
  • Range
  • Mean deviation, standard deviation, variance

Chapter 14: Probability

The concept of “Probability” is essential in class 11 exams as well as other competitive exams like JEE. The concept of random variable and probability will be used for prediction and estimation. Probability can also be used in weather forecasting, card games, predicting election results, machine learning, artificial intelligence, etc.

Topics covered:

  • Sample space and events
  • Types of events
  • Probability calculations

CBSE Class 11 Maths: Unit Wise Weightage

The CBSE Class 11 Maths syllabus for 2025-26 is an essential guide for students preparing for their board exams. The syllabus outlines the unit-wise weightage for various topics, which is crucial for students to plan and prioritise their studies effectively.

No.
Units
Marks
I
Sets and Functions
23
II
Algebra
25
III
Coordinate Geometry
12
IV
Calculus
08
V
Statistics and Probability
12
Total
80
Internal Assessment
20

Internal Marks Assessment

Internal Assessment
Marks
Periodic Tests (Best 2 out of 3 tests conducted)
10 Marks
Mathematics Activities
10 Marks
Total Marks
20 Marks

NCERT Solutions (Subject-wise)

NCERT Books and NCERT Syllabus

Students can use the following links to check the latest NCERT syllabus and read some reference books.

Frequently Asked Questions (FAQs)

1. How to score 100 in Maths Class 11?

Achieving full marks in Maths Class 11 is a challenging yet achievable task. Students need to follow the following steps to fulfill this task.

  • First, analyze the latest NCERT syllabus and the previous year's questions to understand the common questions and patterns.

  • Make a structured study plan incorporating every chapter of the syllabus.

  • Complete the whole NCERT book thoroughly and revise it 2-3 times.

  • Note down important formulae and theorems and check them frequently.

  • Take timed-based mock tests to understand your progression.

  • Identify your weaknesses and work on them rigorously. Try not to repeat the same mistakes.

2. Is Class 11 NCERT Maths tough?

Students will learn new concepts, theorems and formulae of advanced mathematics in class 11 NCERT Maths. It will be challenging for sure, but with consistent practice and enough conceptual clarity, students can ace this subject. Students should not stop after solving NCERT textbook exercises. They should also try to solve questions from other important books and exemplar questions.

3. Is NCERT enough for Class 11 Maths numerical questions?

Yes. For the class 11 Maths final exam, questions and solved examples of NCERT textbooks and exemplar solutions are more than enough. But for other high-level competitive exams like JEE, Olympiads or BITSAT, students should also practice questions from other books and online materials. Frequent practice of mock tests can be helpful in both circumstances.

4. How to understand difficult topics in Class 11 Maths?

There are some challenging chapters in Class 11 Maths, and students need to handle those chapters strategically to achieve good marks. Here are some tips to deal with hard chapters.

  • Strengthen the core concepts of the chapters from the NCERT textbooks. If they are still unclear, use references from other books.
  • Watch video tutorials from decent edu tech sites like Careers360.
  • Take help from experienced teachers if you get stuck in a chapter.
  • Break the chapter into small manageable parts and analyze each part separately.
  • Take mock tests on those chapters to check your progression.
  • Practice NCERT Exemplar for a better understanding of the topics.
5. Which is the best book for CBSE class 11 maths ?

Several good books are available for CBSE Class 11 Maths, but the best book may vary from student to student, depending on their individual needs and preferences. However, some of the popular books recommended by experts are:

  1. NCERT Mathematics for Class 11
  2. RD Sharma Mathematics for Class 11
  3. Mathematics for Class 11 by RS Aggarwal
  4. New Simplified Physics: A Reference Book for Class 11
  5. Arihant Mathematics for Class 11 by Amit M Agarwal.

It's essential to choose a book that provides clear explanations and sufficient practice problems and covers the entire CBSE syllabus. Students should also refer to the NCERT textbook, as it is the primary source of the curriculum and exam preparation.

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Upcoming School Exams

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A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

Option 2)

0.16\; J

Option 3)

1.00\; J

Option 4)

0.67\; J

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

Option 2)

 6.45×10−3 kg

Option 3)

 9.89×10−3 kg

Option 4)

12.89×10−3 kg

 

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

Option 2)

3.125 × 10-2

Option 3)

1.25 × 10-2

Option 4)

2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

Option 2)

increase two fold

Option 3)

remain unchanged

Option 4)

be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1)

Molality

Option 2)

Weight fraction of solute

Option 3)

Fraction of solute present in water

Option 4)

Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

Option 2)

6.023 × 1022

Option 3)

half that in 8 g He

Option 4)

558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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