# NCERT Solutions for Class 11 Maths (Updated for 2021 – 22)

NCERT Solutions for Class 11 MathsÂ consist of solved answers for all the chapters, exercise-wise. This is a great material for students who are preparing for Class 11 exams. The solutions provided here are with respect to NCERT syllabus and curriculum. These materials are prepared by our expertise keeping on mind students understanding level.

## Class 11 Maths NCERT Solutions

NCERT solutions for 11th standard Maths subject covers the chapters which are present in the textbook, exercise-wise. The chapters covered here are Sets, Trigonometric functions, sequences and series, Three dimensional geometry, Relations and functions, statistics, binomial theorem, probability, etc. The solutions for these chapters are available in PDF format, which students can download easily and learn them as per their convenience.

### Free NCERT Solutions For Class 11 Maths All Chapters

NCERT is an autonomous organization responsible for setting the curriculum for schools. The prescribed textbooks by NCERT are commonly used by all the schools that are affiliated to the Central Board of Secondary Education. Referring to the CBSE NCERT Solutions for Class 11 NCERT Solutions Maths will help in your school level exam preparation and also for various engineering exams like JEE Mains, IIT-JEE, etc.

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The Class 11 Maths NCERT Solutions systematically cover the solutions for all the exercise problems from 16 chapters of the Class 11 latest NCERT Maths textbook. The solutions are arranged in a proper manner that ensures comprehensive learning and also enables the student to make use of their time judiciously. The solutions are provided and explained step by step to make it easy for the students to understand the concept in a detailed manner. Even the most complex problems have been categorically broken down to make learning easier. Also, all the Class 11 chaptersâ€™ solutions are 100% accurate and as per the NCERT (CBSE Board) guidelines and syllabus.

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Learning to solve Maths problems is a lot like learning to ride a bicycle or tie a shoelace. Nobody gets it perfectly right the first time. It comes with perseverance, constant practice and dedication after that only a student can crack it. We have also provided some shortcuts, tricks and tips to help the students to excel in their academic score. This will help them in their exam preparation and for the competitive exams as well.

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NCERT Solutions for Class 11 Maths can help this become a reality since it is a powerful tool that is essential for thorough learning. The Class 11 Maths NCERT Solutions by IITianAcademy covers all exercises given in Class 11 NCERT Maths CBSE textbook. This enables the students to deal with real-life problems since they can apply the same method in their everyday life too. The Maths NCERT Solutions for Class 11 can be highly beneficial in a lot of ways contributing to the success in not only in CBSE Class 11 Maths but also for Class 12 and higher studies. This will help them develop a mindset that can aid them in cracking tough examinations including engineering entrance exams like JEE. Solving difficult problems helps you to open your mind to new ways of approaching the problems with various methods. This is a very important and good step towards sharpening a mathematical mind that can go forward and achieve professional success in every walk of life. Also, you can be sure that you do not miss out on any important question during the preparation for Class 11 Maths exam 2020-21.

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Below Given are the Chapter-wise Details for All Chapters of Maths NCERT Solutions Class 11:-

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### NCERT Solutions for Class 11 Maths Chapter 1 Sets

The idea of set fills in as a major piece of the present-day Mathematics. Today this idea is being utilized in pretty much every Chapter of science. Sets are utilized to characterize the ideas of relations and capacities. The investigation of geometry, sequences, probability, and so forth requires the learning of sets. In this Chapter, a consistent way to deal with a set hypothesis is clarified. The term set falls in the classification of unclear terms in science. Additionally, to be a component of a set is the likewise unclear term. In any case, a set is defined as the characterized accumulation of all items.

#### Maths Class 11 NCERT Solutions Chapter 1 Exercises

• Class 11 Maths Chapter 1 Exercise 1.1 – 6 Questions with Solutions in PDF

• Class 11 Maths Chapter 1 Exercise 1.2 – 6 Questions with Solutions in PDF

• Class 11 Maths Chapter 1 Exercise 1.3 – 9 Questions with Solutions in PDF

• Class 11 Maths Chapter 1 Exercise 1.4 – 12 Questions with Solutions in PDF

• Class 11 Maths Chapter 1 Exercise 1.5 – 7 Questions with Solutions in PDF

• Class 11 Maths Chapter 1 Exercise 1.6 – 8 Questions with Solutions in PDF

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

Relations and Functions will explain to you how to link pairs of objects from two sets and then derive relations between the two objects in the pair. What you will learn finally is about special relations which will qualify to be functions. The concept of function is very important in mathematics since it captures the idea of a mathematically precise correspondence between one quantity with the other.

The idea of Functions is exceptionally principal in Modern Mathematics. French mathematician Descartes utilized the word â€˜FUNCTIONâ€™ in the year 1637 and James Gregory gave the meaning of capacity in 1667.

#### Maths Class 11 NCERT Solutions Chapter 2 Exercises

• Class 11 Maths Chapter 2 Exercise 2.1 – 10 Question with Solutions in PDF

• Class 11 Maths Chapter 2 Exercise 2.2 – 9 Questions with Solutions in PDF

• Class 11 Maths Chapter 2 Exercise 2.3 – 5 Questions with Solutions in PDF

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

In this chapter, we will generalize the concepts of trigonometric ratios to trigonometric functions and will study the properties. The study of trigonometry at first began in India. The old Indian mathematicians Aryabhatta (476 AD), Brahmagupta (598 AD), Bhaskara I (600 AD) and Bhaskara II (1114 AD) got the essential outcomes.

#### Maths Class 11 NCERT Solutions Chapter 3 Exercises

• Class 11 Maths Chapter 3 Exercise 3.1 – 7 Questions with Solutions in PDF

• Class 11 Maths Chapter 3 Exercise 3.2 – 10 Questions with Solutions in PDF

• Class 11 Maths Chapter 3 Exercise 3.3 – 25 Questions with Solutions in PDF

• Class 11 Maths Chapter 3 Exercise 3.4 – 9 Questions with Solutions in PDF

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

The early hints of scientific enlistment can be found in Euclid’s proof that the number of primes is endless. Bhaskara II’s cyclic technique (Chakravala) additionally presents Mathematical Induction. There is only one exercise in this chapter and is very interesting if you are curious enough to solve the questions of Mathematical Induction.

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

To permit the square root of negative numbers, the real number framework is stretched out to complex numbers. Truth be told, Greeks were the first to perceive the way that the square root of a negative number does not exist in the real number system. It is also referenced in ‘GANITASARA SANGRAHA’ by Indian Mathematician Mahaviracharya (850 AD).

#### Maths Class 11 NCERT Solutions Chapter 5 Exercises

• Class 11 Maths Chapter 5 Exercise 5.1 – 14 Questions with Solutions in PDF

• Class 11 Maths Chapter 5 Exercise 5.2 – 8 Questions with Solutions in PDF

• Class 11 Maths Chapter 5 Exercise 5.3 – 10 Questions with Solutions in PDF

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

This chapter has three exercises in total where you will consider how the inequalities emerge in everyday practice. At whatever point we compare two quantities, they are bound to be unequal than equivalent. Linear inequalities is a very important and interesting chapter if you study in-depth.

#### Maths Class 11 NCERT Solutions Chapter 6 Exercises

• Class 11 Maths Chapter 6 Exercise 6.1 – 26 Questions with Solutions in PDF

• Class 11 Maths Chapter 6 Exercise 6.2 – 10 Questions with Solutions in PDF

• Class 11 Maths Chapter 6 Exercise 6.3 – 15 Questions with Solutions in PDF

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

The permutation is a kind of arrangement in an unequivocal request of various particular of n different items taking r at once. Combination â€“ The number of ways for choosing r things out of n distinctive things is called combination. There are a total of 4 exercises in this chapter with 31 questions based on the concepts of Permutations and Combinations.

#### Maths Class 11 NCERT Solutions Chapter 7 Exercises

• Class 11 Maths Chapter 7 Exercise 7.1 – 6 Questions with Solutions in PDF

• Class 11 Maths Chapter 7 Exercise 7.2 – 5 Questions with Solutions in PDF

• Class 11 Maths Chapter 7 Exercise 7.3 – 11 Questions with Solutions in PDF

• Class 11 Maths Chapter 7 Exercise 7.4 – 9 Questions with Solutions in PDF

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

It is said that in the eleventh century, Persian artist and Mathematician Omar Khayyam gave the general formula for (a + b)^n, where n is a positive whole number. This equation or expansion is called Binomial hypothesis.

#### Maths Class 11 NCERT Solutions Chapter 8 Exercises

• Class 11 Maths Chapter 8 Exercise 8.1 – 14 Questions with Solutions in PDF

• Class 11 Maths Chapter 8 Exercise 8.2 – 12 Questions with Solutions in PDF

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

Chapter 9 called Sequences and Series has four exercises in total where you will learn important topics like Arithmetic Progression, Geometric Progression, General Term of a G.P, Sum to n terms of a G.P and other important topics. Historically, Aryabhata was the primary Mathematician to give the equation for the sum of the squares of the first n natural numbers, the whole of 3D squares of first n normal numbers, and so forth.

#### Maths Class 11 NCERT Solutions Chapter 9 Exercises

• Class 11 Maths Chapter 9 Exercise 9.1 – 14 Questions with Solutions in PDF

• Class 11 Maths Chapter 9 Exercise 9.2 – 18 Questions with Solutions in PDF

• Class 11 Maths Chapter 9 Exercise 9.3 – 32 Questions with Solutions in PDF

• Class 11 Maths Chapter 9 Exercise 9.4 – 10 Questions with Solutions in PDF

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

In this chapter, you will study some important topics like the Slope of a line, the angle between two lines, Collinearity between two points, horizontal and vertical lines and much more. There is a total of three exercises in this chapter. French Mathematician Rene Descartes was the primary Mathematician who utilized variable based math for the investigation of geometry. Utilizing Cartesian directions, he spoke to lines and bends by the mathematical condition.

#### Maths Class 11 NCERT Solutions Chapter 10 Exercises

• Class 11 Maths Chapter 10 Exercise 10.1 – 14 Questions with Solutions in PDF

• Class 11 Maths Chapter 10 Exercise 10.2 – 20 Questions with Solutions in PDF

• Class 11 Maths Chapter 10 Exercise 10.3 – 18 Questions with Solutions in PDF

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

Conic Sections will broaden your concepts of sections of a cone and also, you will study about circle, ellipse, parabola and hyperbola and other important topics. The curves like circles, ovals, parabolas and hyperbolas are called conic segments or all the more normally conics. The names PARABOLA and HYPERBOLA are discovered by Apollonius (262 BC â€“ 19 BC).

#### Maths Class 11 NCERT Solutions Chapter 11 Exercises

• Class 11 Maths Chapter 11 Exercise 11.1 – 15 Questions with Solutions in PDF

• Class 11 Maths Chapter 11 Exercise 11.2 – 12 Questions with Solutions in PDF

• Class 11 Maths Chapter 11 Exercise 11.3 – 20 Questions with Solutions in PDF

• Class 11 Maths Chapter 11 Exercise 11.4 – 15 Questions with Solutions in PDF

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

Earlier, the ideas of plane organized Geometry was started by French Mathematician Rene Descartes and furthermore by Fermat in the start of the seventeenth century. In this Chapter, with a total of three exercises, we will study about the coordinate geometry in the 3 â€“ D space.

#### Maths Class 11 NCERT Solutions Chapter 12 Exercises

• Class 11 Maths Chapter 12 Exercise 12.1 – 4 Questions with Solutions in PDF

• Class 11 Maths Chapter 12 Exercise 12.2 – 5 Questions with Solutions in PDF

• Class 11 Maths Chapter 12 Exercise 12.3 – 5 Questions with Solutions in PDF

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

This chapter is an introduction to a very important area called Calculus for the students. Calculus is that branch of Mathematics which is associated with the study of change in the value of a function as the points of the domain change. If we mug up the facts, Brahmagupta’s Yuktibhasha is viewed as the main book on analytics. Bhaskar’s chip away at analytics goes before much before the season of Leibjitz and Newton. Bhaskara â€“ II utilized standards of differential Calculus in issues on Astronomy.

#### Maths Class 11 NCERT Solutions Chapter 13 Exercises

• Class 11 Maths Chapter 13 Exercise 13.1 – 32 Questions with Solutions in PDF

• Class 11 Maths Chapter 13 Exercise 13.2 – 11 Questions with Solutions in PDF

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

In Maths, mostly two sorts of reasoning happen. One is inductive reasoning which is examined in Chapter 4 â€“ Mathematical Induction and the other is deductive reasoning which we expect to consider in-depth in this Chapter.

#### Maths Class 11 NCERT Solutions Chapter 14 Exercises

• Class 11 Maths Chapter 14 Exercise 14.1 – 2 Questions with Solutions in PDF

• Class 11 Maths Chapter 14 Exercise 14.2 – 3 Questions with Solutions in PDF

• Class 11 Maths Chapter 14 Exercise 14.3 – 4 Questions with Solutions in PDF

• Class 11 Maths Chapter 14 Exercise 14.4 – 4 Questions with Solutions in PDF

• Class 11 Maths Chapter 14 Exercise 14.5 – 5 Questions with Solutions in PDF

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### NCERT Solutions for Class 11 Maths Chapter 15 Statistics

In this chapter, you will be studying important topics like Measures of dispersion, range, mean deviation, Mean deviation for ungrouped data, 1 Standard deviation and much more. We will do the next dimension of measurements in this chapter than whatever we have studied in Class 8, 9 and 10.

#### Maths Class 11 NCERT Solutions Chapter 15 Exercises

• Class 11 Maths Chapter 15 Exercise 15.1 – 20 Questions with Solutions in PDF

• Class 11 Maths Chapter 15 Exercise 15.2 – 10 Questions with Solutions in PDF

• Class 11 Maths Chapter 15 Exercise 15.3 – 5 Questions with Solutions in PDF

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### NCERT Solutions for Class 11 Maths Chapter 16 Probability

Probability is the word we utilize computing the level of the conviction of occasions in perfect conditions. An experiment implies an activity which can deliver some very much characterized results. The traditional approach is given out by Blaise Pascal and the main approach is given by a Russian mathematician A Kolmogorov in 1937.

It is a known fact that NCERT Solutions are the most preferred study material. You can not only avail Class 11 Maths NCERT Solutions, but you can also get to download NCERT Solutions for all classes and all subjects from Class 6-12. Keep your required study materials handy and prepare well for your exams.