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• NCERT Solutions for Class 11 Maths

# NCERT Solutions for Class 11 Maths

NCERT Solutions for Class 11 Maths provides solutions that are easy to understand. The Class 11 NCERT solutions for Maths provided by GeeksforGeeks can help you to build a deeper understanding of the concepts like Sets, Relations & Functions, Complex numbers, Conic sections, etc. Our NCERT Class 11 Maths provide a step-by-step and extensive explanation of all the problems covered in the NCERT textbook for Class 11 Mathematics exams. They serve as a guide for students who wish to double-check their answers to problems and for children who desire a better comprehension of subjects. These NCERT Solutions for Class 11 Maths exercises are compiled and curated by certified Maths professionals who guarantee that students will build a strong foundation in Maths. NCERT Solutions for Class 11 Maths

In this Class 11th Maths Solutions, we’ve also covered 1500+ Most Asked Questions in Mathematics, Chapterwise Important Formulas, and many other topics based on the latest CBSE Class 11 Syllabus to help learners strengthen their fundamental understanding. Students can use Class 11 Maths NCERT solutions notes and other Class 11 Maths study materials to prepare for their Final Exams. NCERT Solutions for Class 11 Maths in Hindi and English Medium have been updated and revised for the academic year 2023-24.

## NCERT Solutions for Class 11 Maths Chapter-Wise – Free PDF Download

The below table contains the Chapter-Wise NCERT Solutions for Class 11 Maths:-

These simplified solutions for the Class 11 Maths textbook are aimed at assisting students. Here, you can also find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which can help you understand the exam question patterns. These well-structured Class 11th Maths Solutions can help you achieve top marks.

Discover Chapter Sets Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 1 Sets

In this NCERT Solutions for Class 11 Maths Chapter 1 Sets, the concept of Sets and their representation is thoroughly explored. The topics covered in class 11th mathematics include Empty set, Finite and Infinite sets, Equal sets, Subsets, Power set, and Universal set. Additionally, in Class 11 Maths students will learn how to draw Venn diagrams and grasp the concepts of Union and Intersection of sets. In 11th Maths NCERT Solution, the chapter also delves into the Difference of sets and the Complement of a set, along with their properties. With a total of 6 exercises and a miscellaneous exercise, the chapter offers ample opportunities for students to solve numerous questions and gain a comprehensive understanding of the subject matter. Through these class 11th Solution exercises, students can strengthen their knowledge of sets and confidently apply their learnings to solve a variety of problems. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Class 11 Maths NCERT Solutions Chapter 1 Exercise

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Discover Chapter Relations and Functions Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions

In this NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions, students will be introduced to essential concepts such as Ordered pairs, Cartesian product of sets, and the formation of relations between elements. They will learn how to determine the number of elements in the Cartesian product of two finite sets and explore the definition of relations with the help of pictorial diagrams.

Additionally, the Class 11 Maths chapter covers the topic of functions as a special type of relation. Students will be exposed to the pictorial representation of functions, and they will comprehend domain, co-domain, and range of various functions, including real-valued functions like constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic, and greatest integer functions, alongside their respective graphs. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Through the exercises, including a miscellaneous exercise, students can practice these concepts, reinforcing their understanding and honing their problem-solving abilities.

Class 11 Maths NCERT Solutions Chapter 2 Exercise

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Discover Chapter Trigonometric Functions Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions

The NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions covers positive and negative angles, methods of measuring angles in radians and degrees, and the conversion between the two measures. Trigonometric Functions are defined using the unit circle, and the chapter also addresses the general solution of trigonometric equations, along with signs, domain, range, and graphs of Trigonometric Functions. In Class 11 Maths, students will learn to express sin (x±y) and cos (x±y) in terms of sinx, siny, cosx, and cosy, as well as their applications and the deduction of identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x, and tan 3x. The chapter includes problems in 4 exercises and a miscellaneous exercise, covering all the mentioned topics. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Class 11 Maths NCERT Solutions Chapter 3 Exercise

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Discover Chapter Principle of Mathematical Induction Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction

The NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction explains the concept of the Principle of Mathematical Induction. The topics discussed are the process to prove the induction and motivating the application taking natural numbers as the least inductive subset of real numbers. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

There is only one exercise in the Class 11 Maths Chapter which is based on the Principle of Mathematical Induction with its simple applications.

Class 11 Maths NCERT Solutions Chapter 4 Exercise

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Discover Chapter Complex Numbers and Quadratic Equations Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations

The NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations delves into the significance of complex numbers, particularly √−1, as a necessity arising from the inability to solve certain quadratic equations. Students will also explore the algebraic functions, argand plane, and the conjugate of a complex number. Additionally, the chapter covers the fundamental theorem of algebra, solutions of quadratic equations with real coefficients in the complex number system, and the square root of a complex number. To reinforce their understanding, students can work on exercises and a miscellaneous exercise, which cover these diverse topics comprehensively. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Exercise 5.3 is based on the quadratic equations with real coefficients and miscellaneous exercise based on all the topics discussed in the Chapter.

Class 11 Maths NCERT Solutions Chapter 5 Exercise

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Discover Chapter Linear Inequalities Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities

The NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities  focuses on the concept of Linear Inequalities. It covers algebraic solutions of Linear Inequalities in one variable and their representation on the number line. Moreover, the chapter includes the graphical representation of Linear Inequalities in two variables and the graphical method for finding a solution of the system of Linear Inequalities in two variables. In Class 11 Maths, the chapter offers a total of 4 exercises and a miscellaneous exercise, providing ample opportunities for students to practice and apply their understanding of the subject matter. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Class 11 Maths NCERT Solutions Chapter 6 Exercise

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Discover Chapter Permutations and Combinations Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations

A permutation refers to arranging a number of objects in a specific order, taken one at a time. On the other hand, a combination involves a collection of objects where the order is not significant.

The NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations discussed are the factorial, permutations, combinations, fundamental principle of counting, and their applications. In Class 11 Maths, there are five exercises in the Chapter, Exercise 7.1 is based on the introduction to permutations and combinations along with the fundamental principle of counting. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Exercise 7.2 is based on the application of the permutation for all distinct objects and factorial notation; Exercise 7.3 is based on the application of the permutation when all the objects are not distinct and the derivation of the formula of permutation.

Exercise 7.4 is based on the introduction to combinations where the order doesn’t matter and its applications and a miscellaneous exercise is based on the introduction to permutations and combinations and the fundamental principle of counting.

Class 11 Maths NCERT Solutions Chapter 7 Exercise

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Discover Chapter Binomial Theorem Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem

This NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem introduces students to the Binomial Theorem for positive integers. This powerful theorem serves as a tool to solve intricate calculations that would be challenging to tackle to the binomial theorem and its expansion along with Pascal’s triangle.

In Class 11 Maths, there are three exercises in the Chapter, in which Exercise 8.1 is based on the introduction to the binomial theorem, the theorem for positive integral indices, and Pascal’s triangle; Exercise 8.2 is based on the general and middle term in the binomial expansion and their simple applications and a miscellaneous exercise based on all the topics discussed in the Chapter. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Class 11 Maths NCERT Solutions Chapter 8 Exercise

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Discover Chapter Sequences and Series Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series

The Chapter NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series discusses the concepts of a sequence (an ordered list of numbers) and series (the sum of all the terms of a sequence).

In Class 11 Maths, the topics discussed are sequence and series, arithmetic and geometric progression, arithmetic, and geometric mean. There are five exercises in the Chapter, in which Exercise 9.1 is based on the introduction to sequence and series.

Exercise 9.2 is based on the arithmetic progression, arithmetic mean, and general term of the progression; Exercise 9.3 is based on the finite and infinite geometric progression, geometric mean, general term of the progression, the sum of n terms of geometric progression, and the relation between arithmetic and geometric mean.

Exercise 9.4 is based on the sum of the special series sums to n terms and a miscellaneous exercise based on all the topics discussed in the Chapter. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Class 11 Maths NCERT Solutions Chapter 9 Exercise

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Discover Chapter Straight Lines Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines

In this chapter, we will cover NCERT Solutions for Class 11 Maths Chapter 10 Straight lines where we define the concept of the line, its angle, slope, and general equation.

In Class 11 Maths, the topics discussed are the slope of a line, the angle between two lines, various forms of line equations, the general equation of a line, and the family of lines respectively. There are four exercises in the Chapter, in which Exercise 10.1 is based on the introduction to straight lines, the slope of a line for given coordinates of two points, parallel and perpendicular lines with the axis, the angle between two lines, and collinearity of three points; Exercise 10.2 is based on the various form of equations of a line in terms of point-slope form, slope-intercept form, two-point form, intercept form, and normal form.

Exercise 10.3 is based on the general line equation, an equation of the family of lines that passes through the two lines’ intersection point and the distance of a point from a line, and a miscellaneous exercise based on all the topics discussed in the Chapter. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Class 11 Maths NCERT Solutions Chapter 10 Exercise

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Discover Chapter Conic Sections Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections

In this chapter, the concept of Conic Sections is explored in depth. In Mathematics, a conic section refers to a curve formed by the intersection of the surface of a cone with a plane.

In Class 11 Maths, there are five exercises in the NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections, in which – Exercise 11.1 is based on the introduction of a cone, sections of a cone (generated and degenerated), and a circle; Exercise 11.2 is based on the introduction to a parabola, its standard equations, and latus rectum.

Exercise 11.3 is based on the introduction to ellipse, its standard equations, eccentricity, latus rectum, focus, semi-major, and semi-minor axis; Exercise 11.4 is based on the introduction to hyperbola, its standard equations, eccentricity, and latus rectum and a miscellaneous exercise based on all the topics discussed in the Chapter. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Class 11 Maths NCERT Solutions Chapter 11 Exercise

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Discover Chapter Introduction to Three-dimensional Geometry Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three-dimensional Geometry

The Chapter NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three-dimensional Geometry explains the fundamental principles of geometry in three-dimensional space, where a point is defined by three coordinates.

In Class 11 Maths, there are four exercises in the Chapter, in which Exercise 12.1 is based on the Introduction to three-dimensional geometry, coordinate axes, and coordinate planes in three dimensions and coordinates of a point in space; Exercise 12.2 is based on the distance between two points; Exercise 12.3 is based on the section formula to find a coordinate of a point that divides the line between a ratio and a miscellaneous exercise based on all the topics discussed in the Chapter. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Class 11 Maths NCERT Solutions Chapter 12 Exercise

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Discover Chapter Limits and Derivatives Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 13 Limits and Derivatives

The NCERT Solutions for Class 11 Maths Chapter 13 Limits and Derivatives explains the concept of calculus which deals with the study of change in the value of a function when the change occurs in the domain points. The topics discussed are the definition and algebraic operations of limits and derivatives respectively.

In Class 11 Maths, there are three exercises in the Chapter, Exercise 13.1 is based on the introduction to limits and derivatives, algebra of limits, limits of trigonometric functions, and polynomial and rational functions.

Exercise 13.2 is based on the algebra of derivative of functions, derivative of polynomial and trigonometric functions, and a miscellaneous exercise based on the intuitive idea of derivatives, limits, and derivatives and limits of trigonometric functions. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Class 11 Maths NCERT Solutions Chapter 13 Exercise

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Discover Chapter Mathematical Reasoning Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning

The NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning explains the concepts of Mathematical Reasoning (a critical skill to analyze any given hypothesis in the context of mathematics). The topics discussed are statements, inductive reasoning, and deductive reasoning

In Class 11 Maths, there are six exercises in the Chapter, in which Exercise 14.1 is based on the simple statements and application of the “implies” condition; Exercise 14.2 is based on the negation and true-false statement and application of the “and/or” condition.

Exercise 14.3 is based on the compound statement, application of “and” and “or” condition; Exercise 14.4 is based on the If-then statement, application of “if and only if” condition; Exercise 14.5 is based on the If-then statement, application of “implied by” condition and a miscellaneous exercise based on all the topics discussed in the Chapter. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Class 11 Maths NCERT Solutions Chapter 14 Exercise

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Discover Chapter Statistics Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 15 Statistics

This NCERT Solutions for Class 11 Maths Chapter 15 Statistics explains the concepts of Statistics (data collected for specific purposes), dispersion, and methods of calculation for ungrouped and grouped data. The topics discussed are range, mean deviation, variance and standard deviation, and analysis of frequency distributions.

In Class 11 Maths, there are four exercises in the Chapter, in which Exercise 15.1 is based on the range and mean deviation of mean and median for the data; Exercise 15.2 is based on the mean, variance, and standard deviation for the data and analysis of frequency distribution.

Exercise 15.3 is based on the data’s mean, variance, and coefficient of variance and a miscellaneous exercise based on all the topics discussed in the Chapter. Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Class 11 Maths NCERT Solutions Chapter 15 Exercise

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Discover Chapter Probability Class 12 Maths Solutions in Hindi and English mediums. Choose the one that suits your needs.

## NCERT Solutions for Class 11 Maths Chapter 16 Probability

The NCERT Solutions for Class 11 Maths Chapter 16 Probability discusses the concept of Probability (a measure of uncertainty of various phenomena or a chance of occurrence of an event). In Class 11 Maths, the topics discussed are random experiments, outcomes, sample spaces, event, and their type.

In NCERT Maths class 11, there are four exercises in the Chapter, in which Exercise 16.1 is based on the introduction of probability, possible outcomes, and sample spaces; Exercise 16.2 is based on the introduction of events, the occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events.

Exercise 16.3 is based on the probability of an event and random experiments and a miscellaneous exercise is based on advanced probability problems and axiomatic probability.  Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

Class 11 Maths NCERT Solutions Chapter 16 Exercise

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Important Resources for CBSE Class 11th provided by GeeksforGeeks:-

The links to exercise-wise NCERT Solutions for Class 11 Maths in Hindi and English Medium can clear up any doubts you have about each problem. They can also help you achieve good grades in your final exams. These CBSE solutions are recommended by the National Council of Educational Research and Training (NCERT), available at (https://ncert.nic.in/). Here, you can find UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions, which help you understand the exam question patterns.

## FAQs on NCERT Solutions for Class 11 Maths

### Q1. Is Class 11 Maths tough?

Math is one of the subjects that many students are afraid of. However, if you create interest via continuous practice, you will ultimately master it. Trying to transition from Class 10 to Class 11 in math, particularly in CBSE, is tough since the pattern and type of questions change.

Because students are inexperienced with these new concepts, this frequently results in a drop in internal scores. Keeping on to new theories and concepts takes some time. You can only get through this change with practice. Chapters such as trigonometry, permutation, and combination may appear difficult at first, but with practice, they will become easy.

### Q2. How GeeksforGeeks NCERT Solutions for Class 11 Maths help us to score good marks in the exam?

GeeksforGeeks’ NCERT Solutions align with the CBSE syllabus, offering clear explanations to simplify learning. These solutions, structured by chapters and exercises, boost problem-solving skills, instilling confidence in students to excel in exams.

### Q3. Which book is best for Class 11 Maths?

No book, however, can replace the NCERT class 11 mathematics textbook. This is your bible, and you must keep it with you at all times. NCERT provides over half of the question paper, and all competitive exams are based on NCERT.

However, once you’ve finished with NCERT class 11 mathematics textbook, you can move on to RS Agarwal’s Senior Secondary School Mathematics: for Class 11 and RD Sharma’s Mathematics for Class 11.

### Q4. What are some important tips for Class 11 final examinations to score good marks?

Students in Class 11 must study for their home examinations as well as competitive tests (IIT-JEE, BITS PILANI, etc.). NCERT Solutions provide a step-by-step application of all Solutions, ensuring that students learn how to write an exam and achieve the highest possible result. It also includes tips and tricks for solving complex problems in seconds, which are very valuable for competitive exams.

Students can use the NCERT Solutions to quickly and efficiently revise their complete syllabus. Because students do not have enough time to complete all of the problems on exam days, they can review the Solutions and memorize all of the key concepts, theorems, and formulas needed to attempt similar questions. As a result, they are relaxed and confident during the exam.

### Q5. What are the key concepts covered in Chapter 11 of NCERT Solutions for Class 11 Maths?

Chapter 11 of NCERT Solutions for Class 11 Maths covers essential concepts related to conic sections, including parabola, ellipse, circle, degenerate conic sections, and hyperbola. It also explores topics like the relationship between semi-minor and semi-major axes, the distance of focus from the center of the ellipse, and standard equations of parabola and ellipse. This chapter lays the foundation for further studies in higher classes.

### Q6. How can I switch to the Hindi version of NCERT Solutions for Class 11 Maths?

If you want to study NCERT Solutions for Class 11 Maths in Hindi, you can easily switch to Hindi by clicking the ‘Translate’ button at the top right. You’ll find the Hindi translate button right next to switch to Dark Mode button.