RD Sharma Solutions for Class 11 Maths - Free PDF Download
CBSE 11th grade holds a great value between the 10th and 12th board exams and RD Sharma book and its solutions is one of the best ways which can hold your back to ace Mathematics. Students and parents need to understand that it’s no less challenging to excel at Class 11 Mathematics. Maths is, as always, a difficult subject for a plethora of students, and practicing with RD Sharma class 11 mathematics solutions in free pdf helps to prepare students for what is expected to come in the following year. In India, practicing mathematics is comparatively easy with RD Sharma books. They prove to be essential study material and secret behind a lot of successful students decade after decade. In recent years, however, the knowledge of the RD Sharma books has become more accessible than ever before.
Vedantu brings you the class 11 maths RD Sharma solutions in a convenient downloadable PDF format, completely free of cost. This allows you quick and easy access to chapter-wise questions and answers. Thus, your revisions are more super quick, comprehensive, resulting in winding up each chapter, and allowing access to particular answers quickly. The solutions are written and reviewed by expert mathematics teachers who are not only very good at simplifying complex concepts but are also passionate about making every student's learning experience seamless.
RD Sharma Textbook Solutions for Class 11 Maths
Our RD Sharma class 11 mathematics solutions in free PDF can be highly beneficial for you. You will find it significantly easier to make progress. We offer personalised LIVE online teaching, as well as downloadable resources that are available absolutely free, anytime and anywhere. This unique combination of one-on-one teaching and well-explained solutions will benefit you in the long run. It will prepare you for any kind of question paper or variation of math problems.
The teachers will be deeply familiar with our RD Sharma class 11 solutions and can offer support which is tailored to your needs. This ensures a thorough understanding of the concepts while providing a system of support that you need to excel at mathematics. It is this all-round approach that ensures the development of your mathematical abilities and can help remove any fear or dislike for the subject as well.
Below mentioned chapter wise details for Class 11 RD Sharma Solutions:
Chapter 1 – Sets
This is the first chapter of RD Sharma Class 11 Solutions and it explains everything about sets in details. The concept of sets is explained in a brief summary that also includes formulae and the concepts. In this chapter, after a brief explanation of what a set is, a student also learns about the different types of sets, the relation between two sets, and a Venn diagram that represents the different operation of sets. There are eight exercises on sets for the students to solve in this chapter.
Chapter 2 – Relations
In this chapter on relations, a student gets to learn the definitions of relation, domain and range of a relation, pictorial diagrams, co-domain, the Cartesian product of the sets of real (up to R x R), how function has a special kind of relation from one set to another, Cartesian product of sets, ordered pairs, the number of elements in the Cartesian product of two finite sets. There are also three exercises at the end of the chapter to test the student’s knowledge.
Chapter 3 – Functions
This is one of the most important chapters in RD Sharma Class 11 Solutions since it deals with the concept of “functions.” This is a concept of extreme importance in mathematics and plays a very vital role in differential and integral calculus, chapters that a student shall deal with in Class 12. This chapter talks about the concept of a function as a correspondence between two sets and also discusses function as a relation from one set to the other set. Important functions like modulus function, exponential function, ceiling function, etc are discussed in this chapter. Solved examples are given the chapter to help a student understand the concepts well.
Chapter 4 – Measurement of Angles
The 4th chapter of RD Sharma Solutions talks about angles. After discussing what an angle is and the sign used to denote it, the chapter discusses how an angle is measured and names for each of them. The chapter helps students understand complex concepts involved in measuring any angle in a simplified and organized way and also the concepts involved in angle Measurement. There are also completed exercises in the chapter that can help a student understand the concepts well.
Chapter 5 – Trigonometric Functions
This chapter discusses the concept of trigonometry and the three trigonometric functions. After studying this chapter, a student shall also learn how to operate on and solve complex trigonometric equations using trigonometric functions. Besides explaining trigonometric functions and the problems associated with it, this chapter also prepares students to tackle difficult equations that they could face in competitive exams. The chapter delves deeper into the concept of trigonometric functions and also helps students find alternative perspectives for solving a sum. There are three exercises at the end of the chapter.
Chapter 6 – Graphs of Trigonometric Functions
After understanding the concept of trigonometric functions, the next chapter deals with Graphs of Trigonometric Functions. This chapter explores in depth about graphs of Trigonometric functions. For example, how a graph of Sine function is a continuous wave that keeps on repeating itself. Other concepts have also been explained quite well. There are also three solved questions at the end of the chapter to help students understand each concept well.
Chapter 7 – Trigonometric Ratios of Compound Angles
Moving forward with Trigonometry, the 7th chapter of RD Sharma Class 11 Solutions Maths talks about Trigonometric Ratios of Compound Angles. In this chapter, a student shall learn what a compound angle is, what makes up a compound angle, the formulas for the trigonometric ratios of compound angles like sin(P – Q) = sin P cos Q – cos P sin Q, cos(P – Q) = cos P cos Q + sin P sin Q, etc. There are also two exercises that will help students understand the concepts in a structured way.
Chapter 8 – Transformation Formulae
The 8th chapter of RD Sharma Solutions deals with Transformation Formulae. This chapter clearly explains the Transformation of trigonometric functions in details and the trigonometric transformation formulae are also mentioned in detailed steps. The solutions in this chapter are quite comprehensive and are presented in an easy and structured manner to help the students understand all the trigonometric transformation formulae in a better way. The exercises are based on the latest CBSE syllabus and follow the CCE guidelines too.
Chapter 9 – Trigonometric Ratios of Multiple and Sub Multiple Angles
After studying about angles and trigonometry in the previous chapters, this chapter delves deeper into trigonometry and discusses Trigonometric Ratios of Multiple and Sub Multiple Angles. In this chapter, students shall study about how values of trigonometric functions can be expressed as multiples of “x”, for example, 3x, 4x, etc. There are also three exercises at the end of the chapter that shall help students understand the concepts in a better way.
Chapter 10 – Sine and Cosine Formulae and Their Applications
Taking the study of triangles further, the 10th chapter talks about Sine and Cosine Formulae and their applications. We know that there are several uses of the trigonometry formula and in this chapter, students shall learn all about them. For example, how the formulae are used in geography to measure the distance between landmarks, etc. Students are also explained how the sine and cosine formulae are related to the lengths, sides, and angles of a triangle. There are also solved questions at the end of the chapter for the students to practice and understand the concept.
Chapter 11 – Trigonometric Equations
Trigonometry is undoubtedly one of the most important chapters in Mathematics. Hence, students of Class 11 CBSE must pay special attention to all the chapters related to trigonometry. The 11th chapter of RD Sharma Solutions deals with Trigonometric equations. This chapter explains what trigonometric equations actually mean, the solution of the trigonometric equation, etc. There are a table and an exercise that explains the trigonometric solutions in a structured manner to help the students understand.
Chapter 12 – Mathematical Induction
This chapter on Mathematical Induction discusses the principle of simple applications and mathematical induction, the application of the method by looking at natural numbers as the least inductive subset of real numbers, and the process of the proof by induction. The best part about RD Sharma Solutions is that it focuses on the building blocks of the subject. Each chapter has its own exercises to help the students understand the subject and perform well. The chapters also include concept wise solved examples related to the topic that has been designed by subject experts and follow CBSE guidelines.
Chapter 13 – Complex Numbers
In this chapter, students shall be explained that there are no real numbers whose square is a negative real number. Students are also introduced to the symbol i (iota), which is known as the imaginary unit. Students are also informed about real and imaginary parts of a complex number and the different operations on complex numbers such as addition, subtraction, division, multiplication, modulus, conjugate, and reciprocal of complex numbers. There are also solved exercises to help the students understand everything about this chapter.
Chapter 14 – Quadratic Equations
In this 14th chapter, students will learn all about quadratic equations. After completing the chapter, students will be able to understand the different techniques of solving quadratic equations in a very easy and simplified manner. All the important concepts related to quadratic equations are explained in details in this chapter and there are two complete exercises at the end of the chapter too to help the students clear doubts, if any.
Chapter 15 – Linear Inequations
All RD Sharma Solutions chapters have an exam-oriented approach and this one is no different. In this chapter on linear inequations, students will deal with operations on equations with inequalities. Students will also learn how conditions change when a variable or value is shifted from one side to the other and about how to apply the modulus to an inequality equation and how that will affect the inequality conditions. There are six exercises at the end of the chapter that will help students improvise and think from alternative perspectives on the concept.
Chapter 16 – Permutations
We all know how important the concepts of permutations and combinations are in mathematics. And in this 16th chapter, students get introduced to the concept of Permutations. Students have been explained what permutation means with the help of examples, how the order of selection matters in the case of permutation and how the order of selection does not matter in the case of combination, and there are five exercises too that help students to understand the concept better.
Chapter 17 – Combinations
All RD Sharma Solutions are designed on the basis of the latest CBSE syllabus. In this chapter on combinations, students shall learn all about combinations – starting from its definition to examples. The chapter also explains how the order of selection does not matter when it comes to combinations. There are three exercises on combinations and all the solutions in the chapter are mentioned in a step by step way so that students can understand all the concepts in a better manner.
Chapter 18 – Binomial Theorem
All the concepts and exercises in this chapter follow the CCE guidelines and are presented in a way so that students have no doubts and are able to understand the in-depth concepts. In this chapter, students shall learn all about binomial theorem – starting from its definition to the general formula of the binomial theorem. There are two solutions at the end of the chapter that are detailed and are structured in a way to help the students learn about the topic more effectively.
Chapter 19 - Arithmetic Progression
RD Sharma Solutions help students learn and understand basic concepts in an in-depth manner and in a much better way. In this chapter, students shall learn all about arithmetic progression in a comprehensive manner. The chapter covers topics like the definition of arithmetic progression, the meaning of real sequence, arithmetic series, etc. with their formulas. There are also seven exercises that will clear the concept for the students even further and help them do well in examinations.
Chapter 20 – Geometric Progressions
After studying arithmetic progressions, students are then taught about geometric progressions in the next chapter. This chapter discusses everything about geometric progressions – starting from its definition to its formula, which is r = a2 / a1, where r stands for common ratio. The chapter also explains how common ratio can be calculated. There are six exercises on a geometric progression that can be practiced to clear the concept and perform well in the examinations.
Chapter 21 – Some Special Series
In this chapter, students shall learn about the sum of n terms of some special series such as series of natural numbers, series of cubes of natural numbers, series of a square of natural numbers, etc, along with their formulas. For example, the sum of a square of first n natural numbers: 12+22+32+………n2=n (n+1)(2n+1)6
The students are also explained how these special series can be used for addition and subtraction of terms to form another special series. There are two exercises at the end of the chapter that will help students understand the concept better and solve math problems.
Chapter 22 – Brief Review of Cartesian System of Rectangular Coordinates
In this chapter, students are made to do a brief recall of two-dimensional geometry from the earlier lessons. There are also three exercises of the Cartesian System of Rectangular Coordinates for the students so that they can understand the concept better and do the equations well. RD Sharma Solutions have all the concepts very well explained in this chapter and going through them and the solved exercises will help students understand everything very well.
Chapter 23 – The Straight Lines
This chapter on straight lines has a detailed explanation of the straight lines with 19 exercises for the students to understand the concept well. The chapter states the definition of a line and straight lines, the theorem on straight lines, the slope or gradient of the line. The chapter also explains how to find out the slope of a line in terms of coordinates of any two points on it, how to find angles between lines, and much more. The practice exercises are also extremely helpful to master the concept.
Chapter 24 – The Circle
A circle is an important chapter of mathematics and this chapter is totally dedicated to the circle. Besides defining the circle, the chapter also mentions the equation of a circle in various cases. For example, When the center of circle coincides with the origin: Here, k = h = 0. Therefore, the equation of the circle becomes (x)2+(y)2=a2. The chapter will also help students find the radius and center of any given circle, find the equation of the circle when it passes through three given points, and find the equation of a circle when its center and radius are known. There are three exercises at the end of the chapter.
Chapter 25 – Parabola
This chapter deals with the study of Parabola, or what is also known as the graphs of quadratic functions. Along with its formula, which is f( x ) = ax2 + bx + c, the chapter also talks about the other aspects of a parabola. Along with the theory, there is also solved question and answer exercises at the end of the chapter which will help the students understand everything about the concept of Parabola.
Chapter 26 – Ellipse
After studying the concept of the circle, this chapter talks about the “squished circle”, which is also known as an ellipse. Besides describing the meaning of ellipse, the chapter also talks about focal distance/foci. The chapter also teaches students how to find the equation of an ellipse, the foci of an ellipse, how to lay out an ellipse and finally, how to solve ellipse problems. There is a solved exercise at the end of the chapter too for the students.
Chapter 27 – Hyperbola
RD Sharma solutions are designed in a way to help students understand the concepts of each subject without any problem. They also follow all CCE and CBSE guidelines. This chapter explains what a hyperbola is when it can be defined as a curve, and much more. There is a solved exercise at the end of the chapter which will clear all doubts of a student if he/she had any while studying the theories.
Chapter 28 – Introduction to 3D Coordinate Geometry
This is a new chapter and hence students must pay careful attention while studying this chapter. This chapter explains what 3D coordinate geometry is all about, how a coordinate space can be determined, For example, in the XY plane, the coordinates will only include the coordinates from X and Y planes and Z will be zero. And so, a point P can be represented as P(x,y,0) in an XY plane. There are three solved exercises for the students can clear their doubts about 3D Coordinate Geometry.
Chapter 29 – Limits
The 29th chapter of RD Sharma Class 11 Solutions – Mathematics deals with the theory of limits. This chapter defines what limits mean and its properties too. All five properties of limits are well explained along with their formulas. For example, Lim [fx + gx] = lim fx + lim gx, which means that the limit of the sum of two functions is equal to the sum of their limits. There are 11 exercises at the end of the chapter to explain the properties in details and to help the students solve the equations.
Chapter 30 – Derivatives
The 30th chapter of RD Sharma Class 11 Solutions – Mathematics deals with the study of derivatives. The chapter begins by explaining the meaning of derivatives and goes on to explain when it should be applied and if the rate of change should be constant then or not. The chapter also explains when derivatives are primarily used. Formulas are also given in the chapter. For example, For the function f, its derivative is said to be f'(x). There are five practice exercises on derivatives at the end of the chapter for the students to get a better understanding of the topics.
Chapter 31 – Mathematical Reasoning
The 31st chapter of RD Sharma Solutions deals with mathematical reasoning. The chapter begins by explaining the two types of reasoning – inductive reasoning and deductive reasoning. It then goes ahead to explain the type of reasoning that is followed in mathematical reasoning, which is deductive reasoning. The chapter also explains the same with the help of examples and explains how either a true statement or false statement can be a part of mathematical reasoning. The different types of statements like compound statements, conditional statements, negation, etc. are also explained in the chapter. Six exercises are also given at the end of the chapter for the benefit of the students.
Chapter 32 – Statistics
This chapter deals with statistics and provides all sorts of information regarding it. This chapter explains that statistics is the science of dealing with data and also talks about the following topics like the measures of dispersion, the range, variance, mean deviation, and standard deviation of both grouped and ungrouped data. The chapter also discusses the analysis of frequency distributions with equal means but different variances. There are about seven solved exercises in this chapter for the students to master the theory of statistics.
Chapter 33 – Probability
This is the last chapter of RD Sharma Class 11 Solutions and deals with the subject of probability. Students have already learned about the statistical and classical approach to probability in class 9 and class 10 and have a fair idea of the subject. In this chapter, students shall learn about elementary events (outcomes) and sample spaces in experiments, where new events can be constructed by combining two or more events associated with a random experiment, the different types of events like a compound event, exhaustive event, sure event, etc. There are four exercises that are solved for the students to understand the concept in a much better way.
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