NCERT Solutions for Class 11 Maths

# NCERT Solutions for Class 11 Maths

## Download Chapter-wise NCERT Solutions for Class 11 Maths

The topics covered in the CBSE Class 11 Maths Syllabus are discussed in depth by Class 11 NCERT Maths Solution. To help students obtain a deeper conceptual understanding, it contains thorough explanations of all significant theorems and equations. NCERT Solutions for Class 11 Maths will help students prepare for undergraduate engineering admission exams in 2021-2022, such as JEE Mains, BITSAT, VITEEE, etc.

Subject experts have produced NCERT Solutions for Class 11 Maths to assist students in understanding concepts more clearly. NCERT Solutions for Class 11 provide in-depth, step-by-step explanations of topics covered in the textbooks. Infinity Learn offers Class 11 Maths notes, solved sample problems, previous year question papers, worksheets as study aids for students preparing for their board exams, and solutions for each chapter of CBSE Class 11 Maths.

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It may be difficult for pupils to understand what is taught in class. To deal with this issue, students should look up information online to clear their doubts. Regular practice of concepts in which they are weak will enhance their confidence in terms of the exam. Students should study the chapter from the NCERT textbook and answer the exercise problems to gain a sound conceptual understanding. Students’ problem-solving and analytical thinking skills will be improved if they use the NCERT Solutions available at Infinity Learn to react to the challenges.

Download Free NCERT Solutions for Class 11 Maths to begin your board exam preparations.

## NCERT Solutions Class 11 Maths

NCERT Solutions Class 11 Maths is important not only for board exams but also for competitive testing. Faculty have developed solutions to help students learn more topics regardless of their I.Q. l. According to the CBSE syllabus and test structure, the solutions are presented in simple language to aid students. Every chapter in the most recent NCERT textbook is covered in the solutions. The solutions clarify a range of essential ideas to provide reliable information to the pupils. Students can also access the NCERT Solutions Class 11 Maths and online and offline online and offline study materials.

## NCERT Solutions Class 11 Maths Chapter Details and Exercises

Sets, as well as their representation, are covered in this chapter. This chapter covers the empty set, finite and infinite sets, equal sets, subsets, power sets, and universal sets. Students are also taught how to draw Venn diagrams and are introduced to set union and intersect concepts in this chapter. The Difference between Sets and the Complements and features are also covered in this chapter. There are six exercises and a random exercise in this chapter, providing students with a sufficient number of problems to solve and, as a result, comprehend the material.

### The following topics were covered:

Sets and their representations, Empty sets, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers, especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement.

 Maths Class 11 NCERT Solutions Chapter 1 Exercises Exercise 1.1 Exercise 1.2 Exercise 1.3 Exercise 1.4 Exercise 1.5 Exercise 1.6 Miscellaneous Exercise

### Chapter 2: Relations & Functions – Term I

This chapter taught students about ordered pairs, the Cartesian product of sets, the number of elements in the cartesian product of two finite sets, relation definition, graphical diagrams, the domain, co-domain, and the relation range. Kids will learn about functions in addition to learning about relationships. Functions as a special type of relation, pictorial representation of a function, domain, co-domain, and range of a function, real-valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic, and greatest integer functions with graphs are just some of the topics covered by the concept of Functions. Students will learn how to connect two groups of objects and then introduce relationships between the two things in the pair. After that, they’ll learn about special relationships that qualify them as functions.

The following topics were covered:

Ordered pairs. Cartesian product of sets. A number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (up to R x R x R). Definition of relation, pictorial diagrams, domain, co-domain, and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain, and range of a function. Real valued functions, domain, and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic, and greatest integer functions, with their graphs. Sum, difference, product, and quotients of functions.

 Maths Class 11 NCERT Solutions Chapter 2 Exercises Exercise 2.1 Exercise 2.2 Exercise 2.3 Miscellaneous Exercise

### Chapter 3: Trigonometric Functions – Term II

Positive and negative angles are discussed in this cha, and angles in radians and degrees and converted between the two. The use of a unit circle to define trigonometric functions, the general solution of trigonometric equations, the signs, domain, and range of trigonometric functions, and their graphs are all covered in this chapter. For sin 2x, cos 2x, tan 2x, sin 3x, cos 3x, and tan 3x, the chapter walks students through the process of expressing sin (X.Y.) and cos (X.Y.) in terms of sin x, sin y, cos x, and cos y, as well as their accessible applications and deducing identities. The issues in four exercises and a random exercise in this chapter address the topics mentioned above.

The following topics were covered:

Positive and negative angles. Measuring angles in radians and degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. The truth of the identity, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing and in terms of and their simple applications. Deducing identities like the following:

Identities related to and. The general solution of trigonometric equations of the type and tan.

 Maths Class 11 NCERT Solutions Chapter 3 Exercises Exercise 3.1 Exercise 3.2 Exercise 3.3 Exercise 3.4 Miscellaneous Exercise

The chapter Principle of Mathematical Induction covers various topics, taking natural numbers as the least inductive subset of real numbers, including constructing the induction and inspiring the application. The exercise in this chapter presents issues with the Principle of Mathematical Induction and its basic applications.

The following subjects were discussed:

The approach is motivated by looking at natural numbers as the least inductive subset of real numbers, which is the process of proof by induction. Simple uses of the mathematical induction principle.

 Maths Class 11 NCERT Solutions Chapter 4 Exercises Exercise 4.1

In this chapter, the need for complex numbers, particularly, is discussed in-depth, inspired by the inability to solve quadratic equations. This chapter covers the algebraic properties of complex numbers and the argand plane and polar representation of complex numbers. This chapter covers the fundamental theorem of algebra, solutions to quadratic equations in the complex number system (with real coefficients), and the square root of a complex integer. Three exercises and various exercises cover these topics in this chapter.

The following topics were covered:

Need for complex numbers, especially, to be motivated by the inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system. The square root of a complex number.

 Maths Class 11 NCERT Solutions Chapter 5 Exercises Exercise 5.1 Exercise 5.2 Exercise 5.3 Miscellaneous Exercise

The concept of linear inequalities is covered in the chapter titled Linear Inequalities. The concepts of algebraic solutions of Linear Inequalities in one variable and their representation on the number line, graphical representation of Linear Inequalities in two variables, and the graphical method of solving a system of Linear Inequalities in two variables are also covered in this chapter. Three exercises and a random activity in this chapter cover all of the topics covered in the chapter.

The following subjects were discussed:

Linear inequalities. The number line representation of algebraic solutions of linear inequalities in one variable. Linear inequalities in two variables are graphically solved—a graphical approach for solving a system of two-variable linear inequalities.

 Maths Class 11 NCERT Solutions Chapter 6 Exercises Exercise 6.1 Exercise 6.2 Exercise 6.3 Miscellaneous Exercise

A permutation is an arrangement of several things in a specific order taken simultaneously. In contrast, a combination is a collection of elements in which the order is irrelevant—the fundamental principle of counting, factorial n. (n! ), permutations, combinations, formulas derivation and connections, and elementary applications are all covered in this chapter. There are four exercises, plus various exercises with questions spanning all of the themes covered in the chapter.

The following topics were covered:

The fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of formulae for and their connections, simple applications.

 Maths Class 11 NCERT Solutions Chapter 7 Exercises Exercise 7.1 Exercise 7.2 Exercise 7.3 Exercise 7.4 Miscellaneous Exercise

In this chapter, students learn about the Binomial Theorem for positive integers. This theorem can solve multiplication issues that are difficult to solve. This chapter covers the history, definition, and demonstration of the Binomial Theorem for positive integral indices. Some of the topics this chapter covers include the general and middle terms in the binomial ex-pat and applications. This chapter consists of two exercises and spontaneous activity to help students practice problems with the Binomial Theorem.

The following subjects were discussed:

The binomial theorem for positive integral indices is stated and proved from a historical perspective—the triangle of Pascal; Simple uses binomial expansion in the general and middle terms.

 Maths Class 11 NCERT Solutions Chapter 8 Exercises Exercise 8.1 Exercise 8.2 Miscellaneous Exercise

A sequence is a set of integers arranged in a particular order. The total of all the terms in a sequence is called a series. This chapter discusses the following topics: The terms sequence and series are used interchangeably. Sequence and Series, Sequence and Series, Sequence and Series, Sequence and Series, Sequence and Series, Sequence and Series, Sequence and Series, Sequence and Series, Sequence and Series, Sequence Sequ Arithmetic Progression (A.P.), Arithmetic Mean (A.M. ), Arithmetic Progression (G.P.), general term of a G.P., sum of first n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relationship between A.M. and G.M., formulae for specific series sums, and more. The chapter offers four exercises and a random activity that ask students to answer questions to help them understand the concepts taught in the chapter.

The following topics were covered:

Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M. Formulae for the following special sums.

 Maths Class 11 NCERT Solutions Chapter 9 Exercises Exercise 9.1 Exercise 9.2 Exercise 9.3 Exercise 9.4 Miscellaneous Exercise

Students can revisit two-dimensional geometry from previous classes in this chapter. Shifting the origin, line slope, and angle, several forms of line equations, including those parallel to the axis, point-slope form, slope-intercept form, two-point form, intercept form, and normal form, are just a few of the topics covered in this chapter. The chapter covers the general equation, the equation of a family of lines passing through the point of the intersection of two lines, the distance between two points, and other topics. Three exercises and spontaneous activities are included in this chapter to help students solve and practice questions related to the topic.

The following subjects were discussed:

Recalling some two-dimensional geometry from previous classes. Origins are shifts in two lines from two lines to form a line’s slope and the angle. Different types of line equations: axis parallel, axis-parallel, axis-parallel, axis-parallel, axis-parallel, axis-parallel, axis parallel

 Maths Class 11 NCERT Solutions Chapter 10 Exercises Exercise 10.1 Exercise 10.2 Exercise 10.3 Miscellaneous Exercise

This chapter digs further into the subject of Conic SectioAs; a conic section is a curve created by the intersection of a cone’s surface with a p in mathematicslane. The topics discussed are the circle, ellipse, parabola, hyperbola, a point, a straight line, and a pair of intersecting lines as a degenerate instance of a conic section. Standard equations and basic properties of the circle, parabola, ellipse, and hyperbola are also covered in this chapter. Students learn the above principles by completing the four exercises and a miscellaneous activity in this chapter.

The following subjects were discussed:

Conic sections include circles, ellipses, parabolas, hyperbolas, a point, a straight line, and a pair of intersecting lines as a degraded case—Parabola, ellipse, hyperbola standard equations, and basic characteristics A circle’s standard equation.

 Maths Class 11 NCERT Solutions Chapter 11 Exercises Exercise 11.1 Exercise 11.2 Exercise 11.3 Exercise 11.4 Miscellaneous Exercise

For a point in space, there are three coordinates. This chapter will teach students in Class 11 the principles of three-dimensional geometry. This chapter delves into the concepts of three-dimensional coordinate axes, coordinate planes, point coordinates, and the distance between two points. The section from this chapter includes three activities students overcome obstacles and better understand the concept. At the end of the chapter, there is a random exercise with additional questions covering all of the topics covered in the chapter.

The following subjects were discussed:

Axes and planes of coordinates in three dimensions. A point’s coordinates. Section formula and distance between two places

 Maths Class 11 NCERT Solutions Chapter 12 Exercises Exercise 12.1 Exercise 12.2 Exercise 12.3 Miscellaneous Exercise

The first chapter in the Calculus series is Limits and Derivatives. Calculus is a branch of mathematics that investigates how a function’s value changes when the domain’s points change. This chapter provides students with an intuitive understanding of derivatives (without defining them). The chapter closes with some limit algebra and a fundamental idea of a limit. The chapter concludes with a review of the derivative and some derivative algebra. Two exercises and various exercises cover all of the topics in the chapter.

The following subjects were discussed:

As a distance function and geometrically, the derivative is introduced as a rate of change. The limitation is an intuitive concept: polynomial and rational function li and metric, exponential, and logarithmic functions. The scope of the curve’s tangent, a derivative of the sum, difference, product, and quotient of functions are all included in the definition of the derivative—polynomial and trigonometric derivatives.

 Maths Class 11 NCERT Solutions Chapter 13 Exercises Exercise 13.1 Exercise 13.2 Miscellaneous Exercise

This chapter focuses on mathematics and introduces some basic notions in mathematical reasoning. Students should have learned inductive reasoning in the context of Mathematical Induction by this time. This chapter covers the fundamentals of deductive reasoning. This chapter covers mathematically admissible statements, connecting words/phrases, etc. It covers “if and only if (necessary and sufficient) condition,” “implies,” “and,” “implied by,” “and,” “our,” “there exists,” validating assertions involving the connecting words, and more. To help students thoroughly grasp the concept of Mathematical Reasoning, the chapter offers five tasks and a miscellaneous activity.

The following subjects were discussed:

Mathematically sound statements. Connecting words/phrases – consolidating comprehension of “if and only if (necessary and sufficient) condition,” “implies,” “and,” “implied by,” “and,” “our,” “there exists,” and their applications through a variety of real-world and mathematical situations. They validate the statements that involve the linking, difference among contradiction, converse, and contrapositive.

 Maths Class 11 NCERT Solutions Chapter 14 Exercises Exercise 14.1 Exercise 14.2 Exercise 14.3 Exercise 14.4 Exercise 14.5 Miscellaneous Exercise

, as we all know, is concerned with collecting data for specific purposes. In this chapter, we’ll look at some of the most important dispersion metrics and how to compute them for ungrouped and grouped data. This chapter covers dispersion, range, mean deviation, variance, and standard deviation of ungrouped/grouped and landmines frequency distributions with identical means but different variances. Students can learn more about the topic by completing the three assignments and an additional exercise contained in the chapter.

The following subjects were discussed:

Range, mean deviation, variance, and standard deviation of ungrouped/grouped data are all measures of dispersion. Frequency distributions with equal means but different variances are analyzed.

 Maths Class 11 NCERT Solutions Chapter 15 Exercises Exercise 15.1 Exercise 15.2 Exercise 15.3 Miscellaneous Exercise

In this chapter, the probability is defined as a measure of uncertainty in various phenomena or simply as the chances of an event occurring. This chapter covers random experiments, outcomes, sample spaces (set representation), and events, including ‘not,’ ‘and,’ and ‘or’ events, specific events, mutually exclusive events, axiomatic (set theoretic) probability, and linkages with other theories studied in preceding classes. The likelihood of an e and of ‘not,’ ‘and,’ and ‘or’ events are all covered in this chapter. To thoroughly grasp the concept of probability, students can complete the three exercises and the miscellaneous activity.

The following subjects were discussed:

Experiments at random; results, sample spaces (set representation). Events; their occurrence, ‘not,’ ‘and,’ and ‘or’ events, comprehensive, mutually exclusive, etc. Axiomatic (set-theoretic) probably and our classes’ ideas. Probability of an event, probability of ‘not,’ probability of ‘not,’ probability of ‘not,’ probability of ‘not’ ‘and‘ and ‘or’ events.

 NCERT Solutions of Maths Class 11 Chapter 16 Exercises Exercise 16.1 Exercise 16.2 Exercise 16.3 Miscellaneous Exercise

Because Infinity Learn is a learning organization, we understand the significance of study materials and how they influence academic performance. Each chapter of the NCERT Class 11 textbook has many concepts that may stress students. As a result, it’s critical to first master the tricks and techniques for remembering everything. NCERT Class 11 Books can be downloaded from this page. As a result, we developed Class 11 NCERT Solutions, a learning resource aimed at helping students study and achieve their objectives.

CBSE Marking Scheme 2021-22

A student will take the board exams twice in their lives. One is in Class 10, and the other is in Class 11. Students’ grades in Class 10 help them understand the topics they excel in, while their grades in Class 11 help them plan their future. The CBSE board has divided the entire syllabus into two terms to make it easier for students to study all concepts. After studying the CBSE board’s revised course structure, students can comprehend the chapters worth more marks and practice them effectively. The eleventh grade is a critical year in a student’s life. To help students understand all of the concepts quickly, the CBSE board has divided the entire course into two terms of equal marks. The chapters are divided into divisions based on their importance in the board exam and their weight in terms of marks. The mission is to provide Class 11 students with a high-quality education and support them in reaching their long-term goals. It also provides a strong foundation in core topics important for board exams.

Term I and Term II: CBSE Class 11 Maths Syllabus Course Structure 2021-22

 No. Units Marks I Sets and Functions (Cont.) 11 II Algebra (Cont.) 13 III Coordinate Geometry (Cont.) 6 IV Calculus (Cont.) 4 V Statistics and Probability (Cont.) 6 I Sets and Functions (Cont.) 8 II Algebra (Cont.) 11 III Coordinate Geometry (Cont.) 9 IV Calculus (Cont.) 6 V Statistics and Probability (Cont.) 5 Total Theory 80 Internal Assessment 20 Total 100

Class 11 Maths NCERT Solutions

NCERT Solutions for Class 11 PDF Math is a crucial tool for students to employ in their exam and assignment preparation. Students’ performance in Class 11 boards and competitive assessments is dependent on their ability to solve problems in math. These Class 11 answers PDFs could be the most valuable educational resource for preparing for the board exam. It’s difficult to achieve a good mark in Mathematics solely by memorizing formulae. Instead, the most effective strategy to acquire achievement is to practice.

Learn Infinite NCERT Solutions will help students in Class 11 decipher any problem’s conceptual significance. NCERT Maths Solutions for CBSE Class 11th provides comprehensive answers to all of the issues covered in the curriculum. The preceding chapters are equally important and maybe learned with consistent practice and effort. Probability, calculus, coordinate geometry, and trigonometry are specific topics that students can quickly master with enough practice. We’ve also included examples after each chapter to help our readers understand the ideas.

Why Do Toppers Prefer Infinity Learn NCERT SolutionAccording to many students, s?

Infinity Learn’s NCERT Solutions is the most user-friendly online solution available. Because of the reliability and precision of our solutions, we are the preferred option for most CBSE students. Using Infinity Learn’s solutions, students may now quickly fulfill the NCERT Class 11 Physics Syllabus. Some of the most crucial elements of the NCERT Solutions we provide are listed below.

• Teachers with a lot of experience come up with the answers.

Chemistry is a branch of science that covers a wide range of concepts with practical applications. To master these concepts, students must reference the best online study material available. We at Infinity Learn to curate the solutions with the comprehension ability of Class 11 students in mind. As a result, they are dependable and correct they are dependable and correct because the solutions are based on the CBSE board’s exam timetable.

• There are a variety of problems to practice with.

When it comes to final exam preparation, practice is the only way to get a good grade. As a result, Infinity Learn has developed chapter-by-chapter solutions that students can access online and offline. Because the solutions are authentic, students can rely on them to help them prepare for their board exams.

• It is possible to access it at any time and from any location.

The 12th-grade exam is a watershed moment in a student’s academic career. As a result, finding the ideal study material that meets all of their needs is crucial. Infinity Learn has devised strategies to help students establish confidence in their ability to answer difficult questions about board exam preparation. Infinity Learn provides free solutions that can be used anywhere anytime the textbook’s practice questions.

Benefits of Maths NCERT Solutions Class 11

• Experienced teachers conducted research and wrote the solutions.
• In each chapter, there are new value-based questions with answers.
• Jargon-free and simple language.
• The content has been created by the CBSE curriculum 2021-22.
• The Coverage of essential ideas is extensive.
• The most helpful content for preparing for CBSE board exams.

NCERT Solutions for Class 11 Maths: A Comprehensive Analysis

NCERT Textbooks are known for their clarity and straightforward explanations of concepts. For CBSE Class 11 students, these texts are good. It is made up of multiple-choice questions that evaluate their conceptual understanding.

The Physics NCERT Solutions Class 11 provides all the necessary content and fundamental ideas to help students prepare for medical entrance exams like the NEET.

Frequently Asked Questions on NCERT Solutions for Class 11 Maths

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<>Does Infinity Learn NCERT Solutions for Class 11 Maths help students get full marks in the

Of course, NCERT Solutions for Class 11 Maths is one of the top study materials available on the internet. When students cannot find a proper response to textbook questions, they can resort to subject-specific and chapter-specific solutions. It also enhances their capacity to respond to complex questions on board exams. The student will also get help in board exams, apart from the board.

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