**NCERT Solutions For Class 11 Maths PDF: **Due to the extension of COVID-19 lockdown, students are not sure as to when the new sessions for Class 11 will begin. Also, as to how they should move ahead with CBSE Class 11 preparation. To ease this pressure and provide students with a way to practice, Embibe brings its readers free NCERT Solutions for Class 11 Maths PDF Solutions. Maths being the toughest of all subjects should be given extra care.

These NCERT Class 11 Maths Solutions are prepared by the best teachers in the field. The solutions are 100% accurate and are prepared as per the latest CBSE standards. In this article, we will provide the Class 11 Maths chapter wise links so that students can download them as per their needs. Students can download the NCERT Solutions For Class 11 Maths PDF offline and carry on with their preparation with ease.

## NCERT Solutions For Class 11 Maths PDF

NCERT Solutions acts as the best study material for students as it helps them in their studies while they advance through the syllabus. We have arranged the solutions in a chapter-wise format so that students can download the solutions for the chapter they are preparing or solving questions for. You can check the list below:

### NCERT Solutions For Class 11 Maths

The CBSE NCERT Solutions for 11th Class Maths are:

### NCERT Solutions For Class 11 Maths Chapter Descriptions

NCERT Solutions for Class 11 Maths Chapter 1: Sets |

A collection of objects which is well defined is considered a set. Set is defined by an existing rule, with which it is possible to conclude whether an object is a part of a set and whether a collection constitutes a set. Problems and solutions in this set tell us as to how to ascertain whether a collection is set, different types of sets, algebra of sets and power sets, how sets are represented using symbols, and Venn diagrams.

NCERT Solutions for Class 11 Maths Chapter 2: Relations and Functions |

Much of mathematics is about finding a pattern – a recognizable link between quantities that change. We come across many patterns in our day to day life that characterize relations such as brother and sister, father and son, teacher, and student. The same happens in mathematics also, you come across many relations such as number a is less than the number b, line l is parallel to line m, set A is a subset of set B.

From the examples, you can see that a relation always involves pairs of objects in a certain order. In this chapter, you will learn how to link pairs of objects from two sets and then introduce relations between the two objects in the pair. Finally, you will also learn 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.

NCERT Solutions for Class 11 Maths Chapter 3: Trigonometric Functions |

The word ‘trigonometry’ is derived from the Greek words ‘trigon’ and ‘metron’ and it means ‘measuring the sides of a triangle’. The subject was originally developed to solve geometric problems involving triangles. It was studied by sea captains for navigation, surveyor to map out the new lands, by engineers and others.

Currently, trigonometry is used in many areas such as the science of seismology, designing electric circuits, describing the state of an atom, predicting the heights of tides in the ocean, analyzing a musical tone, and in many other areas. In earlier classes, you have studied the trigonometric ratios of acute angles as the ratio of the sides of a right-angled triangle.

You have also studied the trigonometric identities and application of trigonometric ratios in solving the problems related to heights and distances. In this Chapter, the concept of trigonometric ratios to trigonometric functions has been generalized and you will study their properties in a comprehensive way.

NCERT Solutions for Class 11 Maths Chapter 4: Principle Of Mathematical Induction |

One key basis for mathematical thinking is deductive reasoning. In contrast to deduction, inductive reasoning depends on working with each case and developing a conjecture by observing incidences until you have observed each and every case.

It is frequently used in mathematics and is a key aspect of scientific reasoning, where collecting and analyzing data is the norm. Thus, in simple language, you can say the word induction means generalization from particular cases or facts.

In algebra or in other disciplines of mathematics, there are certain results or statements that are formulated in terms of n, where n is a positive integer. To prove such statements the well-suited principle that is used–based on the specific technique, is known as the principle of mathematical induction.

NCERT Solutions for Class 11 Maths Chapter 5: Complex Numbers And Quadratic Equations |

In earlier classes, you must have studied linear equations in one and two variables and quadratic equations in one variable. You had seen that the equation x^{2} + 1 = 0 has no real solution as x^{2} + 1 = 0 gives x^{2} = – 1 and square of every real number is non-negative. So, you need to extend the real number system to a larger system so that you can find the solution of the equation x^{2} = – 1. In fact, the main objective is to solve the equation ax^{2} + bx + c = 0, where D = b2 – 4ac < 0, which is not possible in the system of real numbers.

NCERT Solutions for Class 11 Maths Chapter 6: Linear Inequalities |

In previous classes, you would have studied equations in one variable and two variables and also solved some statement problems by translating them in the form of equations. Now a natural question arises: ‘Is it always possible to translate a statement problem in the form of an equation? For example, the height of all the students in your class is less than 160 cm. Your classroom can occupy at most 60 tables or chairs or both. Here you get certain statements involving a sign ‘<’ (less than), ‘>’ (greater than), ‘≤’ (less than or equal) and ≥ (greater than or equal) which are known as inequalities.

In this chapter, you will study linear inequalities in one and two variables. The study of inequalities is very useful in solving problems in the field of science, mathematics, statistics, optimization problems, economics, psychology, etc.

NCERT Solutions for Class 11 Maths Chapter 7: Permutations And Combinations |

Suppose you have a suitcase with a number lock. The number lock has 4 wheels each labelled with 10 digits from 0 to 9. The lock can be opened if 4 specific digits are arranged in a particular sequence with no repetition. Somehow, you have forgotten this specific sequence of digits. You remember only the first digit which is 7. In order to open the lock, how many sequences of 3-digits you may have to check with?

To answer this question, you may, immediately, start listing all possible arrangements of 9 remaining digits taken 3 at a time. But, this method will be tedious, because the number of possible sequences may be large.

Here, in this chapter, you shall learn some basic counting techniques which will enable you to answer this question without actually listing 3-digit arrangements.

NCERT Solutions for Class 11 Maths Chapter 8: Binomial Theorem |

In prior classes, you learned how to find the squares and cubes of binomials like a + b and a – b. Using them, you could evaluate the numerical values of numbers like (98)2 = (100 – 2)2 , (999)3 = (1000 – 1)3 , etc. However, for higher powers like (98) 5, (101) 6, etc., the calculations become difficult by using repeated multiplication. This difficulty was overcome by a theorem known as the Binomial Theorem. It gives an easier way to expand (a + b) n, where n is an integer or a rational number. In this chapter, you will study the Binomial Theorem for positive integral indices only.

**Prepare for JEE Main PCMB Here**

NCERT Solutions for Class 11 Maths Chapter 9: Sequences And Series |

In mathematics, the word, “sequence” is used in much the same way as it is in ordinary English. When it is said that a collection of objects is listed in a sequence, it usually means that the collection is ordered in such a way that it has an identified first member, second member, third member, and so on. For example, the population of human beings or bacteria at different times form a sequence. The amount of money deposited in a bank, over a number of years forms a sequence.

Depreciated values of certain commodities occur in a sequence. Sequences have important applications in several spheres of human activities. Sequences, following specific patterns, are called progressions. In the previous class, you have studied Arithmetic Progression (A.P). In this Chapter, besides discussing A.P, Arithmetic means, Geometric mean, the Relationship between A.M. and G.M., Special series in forms of a sum to n terms of consecutive natural numbers, Sum to n terms of squares of natural numbers and sum to n terms of cubes of natural numbers will also be studied.

NCERT Solutions for Class 11 Maths Chapter 10: Straight Lines |

You must now be familiar with two-dimensional coordinate geometry from earlier classes. Mainly, it is a combination of algebra and geometry. A systematic study of geometry by the use of algebra was first carried out by celebrated French philosopher and mathematician René Descartes, in his book ‘La Géométry, published in 1637. This book introduced the notion of the equation of a curve and related analytical methods into the study of geometry. The resulting combination of analysis and geometry is referred to now as Analytical geometry.

To recapitulate, the location of the points (6, – 4) and (3, 0) in the XY-plane is shown in Fig 10.1. We may note that the point (6, – 4) is at 6 units distance from the y-axis measured along the positive x-axis and at 4 units distance from the x-axis measured along the negative y-axis. Similarly, the point (3, 0) is at 3 units distance from the y-axis measured along the positive x-axis and has zero distance from the x-axis.

NCERT Solutions for Class 11 Maths Chapter 11: Conic Sections |

In the preceding Chapter 10, you studied various forms of the equations of a line. In this chapter, you shall study some other curves, viz., circles, ellipses, parabolas, and hyperbolas. The names parabola and hyperbola are given by Apollonius. These curves are in fact, known as conic sections or more commonly conics because they can be obtained as intersections of a plane with a double-napped right circular cone.

These curves have a very wide range of applications in fields such as planetary motion, design of telescopes and antennas, reflectors in flashlights and automobile headlights, etc. Now, in the subsequent sections, you will see how the intersection of a plane with a double-napped right circular cone results in different types of curves.

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

You may recall that to locate the position of a point in a plane, you need two intersecting mutually perpendicular lines in the plane. These lines are called the coordinate axes and the two numbers are called the coordinates of the point with respect to the axes. In actual life, you do not have to deal with points lying in a plane only. For example, consider the position of a ball thrown in space at different points of time or the position of an aeroplane as it flies from one place to another at different times during its flight.

Similarly, if you were to locate the position of the lowest tip of an electric bulb hanging from the ceiling of a room or the position of the central tip of the ceiling fan in a room, you will not only require the perpendicular distances of the point to be located from two perpendicular walls of the room but also the height of the point from the floor of the room.

NCERT Solutions for Class 11 Maths Chapter 13: Limits and Derivatives |

This chapter is an introduction to Calculus. Calculus is that branch of mathematics which mainly deals with the study of change in the value of a function as the points in the domain change. First, we give an intuitive idea of derivative (without actually defining it). Then we give a naive definition of a limit and study some algebra of limits. Then we will bring you back the definition of derivative and study some algebra of derivatives. You will also obtain derivatives of certain standard functions.

NCERT Solutions for Class 11 Maths Chapter 14: Mathematical Reasoning |

In this chapter, some basic ideas of Mathematical Reasoning will be discussed. As you know that human beings evolved from the lower species over many millennia. The main asset that made humans “superior” to other species was the ability to reason. How well this ability can be used depends on each person’s power of reasoning. How to develop this power?

Here, the process of reasoning, especially in the context of mathematics, will be talked about. In mathematical language, there are two kinds of reasoning – inductive and deductive. The inductive reasoning in the context of mathematical induction has already been discussed. In this chapter, you shall also learn about some fundamentals of deductive reasoning.

NCERT Solutions for Class 11 Maths Chapter 15: Statistics |

You must be knowing that statistics deals with data collected for specific purposes. You can make decisions about the data by analyzing and interpreting it. In earlier classes, you have studied methods of representing data both graphically and in tabular form. This representation reveals certain salient features or characteristics of the data. You have also studied the methods of finding a representative value for the given data. This value is called the measure of central tendency.

NCERT Solutions for Class 11 Maths Chapter 16: Probability |

In earlier classes, you studied the concept of probability as a measure of uncertainty of various phenomena. You have also obtained the probability of getting an even number in throwing a die as 3 6 i.e., 1 2. Here the total possible outcomes are 1,2,3,4,5 and 6 (six in number). The outcomes in favour of the event of ‘getting an even number’ are 2,4,6 (i.e., three in number). In general, to obtain the probability of an event, we find the ratio of the number of outcomes favourable to the event, to the total number of equally likely outcomes. This theory of probability is known as the classical theory of probability.

### How To Score Good Marks In Class 11 Maths?

The transition in the syllabus from Class 10 to class 11 is huge and requires smart and hard work by the students. To get better at the subject and score well we advise students to follow the below-given tips:

- Students often avoid the theory part of Maths. Do not do that, the questions asked largely depend on your understanding. Once you get how a formula is derived you will also get the solutions for the question.
- Advance at your own pace. Competition with your friends is good but due to competition don’t skip any chapters.
- Preparing a
*formula sheet*is a must. - Stick to the NCERT book and once you have completely solved the book then move to reference books.
- Use the NCERT solutions provided by us as reference material while solving questions.
- The last and most important point is
**Practice**. Practice makes a man perfect and maths requires lots and lots of practice.

### Important Questions For Class 11 Maths

Below we have provided some important questions that will aid you in scoring better:

Q1. If P (A) = P (B), Show that A = B Q2. Draw the graph of the Constant function, f: R ϵ R; f(x) = 2 x ϵ R. Also find its domain and range. Q3. The minute hand of the watch is 1.5 cm long. How far does it tip to move in 40 minutes? Q4. Prove that n(n+1)(n+5) is a multiple of 3.Q5. Find real θ such that \(\frac{3+2iSin\theta}{1-2iSin\theta}\) is purely real. Q6. Find all pairs of consecutive odd natural no. both of which are larger than 10 such that their sum is less than 40. A bag contains 5 black and 6 red balls, determine the number of ways in which 2 black and 3 red balls can be selected. Q7. Using the binomial theorem, prove that \(6^{a}-5n\) always leaves remainder 1 when divided by 25 Q8. Show that the sum of (m+n)th and (m-n)th terms of an A. P. is equal to twice the mth term Q9. Find the equation to the straight line which passes through the point (3,4) and has intercept on the axes equal in magnitude but opposite in sign. Q10. Q11. Find the equation of hyperbola whose length of latus rectum is 36 & foci are \((0,\mp12)\) Q12. Find the coordinate of a point equidistant from the four points O(0,0,0), A (a,0,0), B(0,b,0), and C(0,0,c) Differentiate the function \(y=\frac{(x+2)(3x-1)}{(2x+5)}\) with respect to xQ13. Give three examples of sentences that are not statements. Give reasons for the answers. Q14. The mean of 2,7,4,6,8 and p is 7. Find the mean deviation about the median of these observations. Q15. Find the prob. that when a hand of 7 cards is drawn from a well-shuffled deck of 52 cards, it contains (i) all king (ii) 3 kings (iii) at least 3 kings Q16. |

### Frequently Asked Questions On NCERT Solutions For Class 11 Maths

Below are some frequently asked questions by students on Class 11 Maths:

*Question 1:**Which are the best books for preparing Class 11 Maths?*Ans: The Textbooks subscribed by CBSE i.e NCERT Class 11 Maths is considered as the best book. It covers all the chapters and clears all the concepts.

*Question 2:**How many chapters are there in Class 11 NCERT Maths Book?*Ans: There are a total of 16 chapters. The first chapter is sets and the last chapter is probability. In this article, we have provided solutions to all the chapters.

*Question 3:**Is Class 11 Maths difficult?*Ans: If we consider the increment in the syllabus from Class 10 to Class 11 then yes. But if you ask in general then it depends on the learning capability of the student. students are also able to score full marks in the subject with constant practice. NCERT solutions surely help in the process.

*Question 4:**How can I learn Maths in Class 11?*Ans: You can check out the NCERT solutions in this article. These will aid you in the subject. To study Maths you must start from chapter 1 and then proceed slowly as per your pace. We have provided the solutions to every chapter of the Class 11 Maths textbook so that students can use them as a guide as well as a study material.

Now that you have detailed CBSE NCERT Solutions for Class 11 Maths for all chapters, we hope you make the best use of it. All the PDF comprising the questions have been solved by the best and top academicians at Embibe. You can rely on the NCERT Solutions for Class 11 Maths PDF to get the best results.

Check our other subjects’ NCERT solutions and Class 11 Maths Formulas.

NCERT Solutions for Class 11 Physics | NCERT Solutions for Class 11 Biology |

NCERT Solutions for Class 11 Chemistry | Maths Formulas for Class 11 |

*If you have any query regarding this article on CBSE NCERT Solutions for Class 11 Maths, do let us know about it in the comment section below and we will get back to you soon.*

**138**Views