NCERT Solutions for Class 11 Maths

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. 

The 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 Vedantu covers all exercises given in the class 11th NCERT maths CBSE textbook. This enables the student 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 class 11th but also for class 12th 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 minds 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.

Below Given are the Chapter wise details for all chapters of Maths NCERT Solutions Class 11;

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, consistent way to deal with 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 likewise unclear term. In any case, a set is defined as characterized accumulation of all items. 

Chapter 2: Relations and Functions

Relations and Functions will explain 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 ‘FUNCTION’ in the year 1637 and James Gregory gave the meaning of a capacity in 1667. 

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. 

Chapter 4: Principle of Mathematical Induction

The early hints of scientific enlistment can be found in Euclid's proof that 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.

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 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). 

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.

Chapter 7: Permutations and Combinations 

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

Chapter 8: Binomial Theorem 

It is trusted 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. 

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 square of the first n natural numbers, the whole of 3D squares of first n normal numbers, and so forth. 

Chapter 10: Straight Lines 

In this chapter, you will study some important topics like Slope of a line, Angle between two lines, Collinearity between two points, horizontal and vertical lines and much more. There are total 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 mathematical condition. 

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, oval, parabolas and hyperbolas are called conic segments or all the more normally conics. The names PARABOLA and HYPERBOLA are discovered by Apollonius (262 BC – 19 BC). 

Chapter 12: Introduction to Three Dimensional Geometry 

Earlier, the ideas of plane organize geometry were started by French mathematician Rene Descartes and furthermore by Fermat in the start of seventeenth century. In this Chapter, with a total of three exercises, we will study about the coordinate geometry in the 3 – D space. 

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 – II utilized standards of differential Calculus in issues on Astronomy. 

Chapter 14: Mathematical Reasoning 

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

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 classes 8, 9 and 10. 

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.

Vedantu Gives You Competitive Edge

For all those students who require additional guidance with their studies, Vedantu has got their back. Vedantu offers online solutions to improve the chances of a good score in your exams. This has proved to be very helpful for problems where the steps involved constitute elements that a student is unfamiliar with. In these kinds of situations, the student is forced to spend additional time on researching other topics to solve just one sum. Our NCERT Solutions for Class 11 Maths and other subjects’ experts familiarize the students with these topics so that the speed of learning is improved drastically. Thus, it helps in efficient time management skills for better results in the exams.