As the students begin their journey in higher education, Maths will remain one of the most important and challenging subjects of the curriculum. The topics covered in the class 11 syllabus of Mathematics will be complex and of a higher difficulty level than the previous lower classes. But with new challenges, come new solutions. As the student tackles the complex quadratic functions and binomial theorems, RD Sharma class 11 solutions shall come to the rescue! Instead of hunting for solutions and explanations, RD Sharma class 11 solutions will provide all the answers in a comprehensive and concise manner, all in one place. Let us begin!

## Importance of RD Sharma Solutions for Class 11 Maths

RD Sharma class 11 solutions for Mathematics is a great reference point for students when they are studying. One of the biggest advantages of the solutions is that it is very comprehensive, it covers all the important points and concepts from all the topics. The student will not fear losing out on any essential study material. RD Sharma class 11 solutions is also a great revision tool, to help polish up just before the exam.

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### Chapters under RD Sharma Solutions for Class 11 Maths

- Chapter 1: Sets
- Chapter 2: Relations
- Chapter 3: Functions
- Chapter 4: Measurement of Angles
- Chapter 5: Trigonometric Functions
- Chapter 6: Graphs of Trigonometric Functions
- Chapter 7: Trigonometric Ratios of Compound Angles
- Chapter 8: Trigonometric Formulae
- Chapter 9: Trigonometric Ratios Of Multiple And Sub Multiple Angles
- Chapter 10: Sine And Cosine Formulae And Their Applications
- Chapter 11: Trigonometric Equations
- Chapter 12: Principle of Mathematical Induction
- Chapter 13: Complex Number
- Chapter 14: Quadratic Equations
- Chapter 15: Linear Inequalities
- Chapter 16: Permutation
- Chapter 17: Combination
- Chapter 18: Binomial Theorem
- Chapter 19: Arithmetic Progressions
- Chapter 20: Geometric Progressions
- Chapter 21: Some Special Series
- Chapter 22: Brief Review Of Cartesian System Of Rectangular Coordinates
- Chapter 23: Straight Lines
- Chapter 24: The Circle
- Chapter 25: Parabola
- Chapter 26: Ellipsis
- Chapter 27: Hyperbola
- Chapter 28: Introduction to Three Dimensional Geometry
- Chapter 29: Limits
- Chapter 30: Derivatives
- Chapter 31: Mathematical Reasoning
- Chapter 32: Statistics
- Chapter 33: Probability

#### RD Sharma Solutions for Class 11 Maths Chapter 1: Set

In class 11, we will be expanding our knowledge of sets and Venn diagrams. Here we will study about sets and the operations of subsets. We shall also learn in detail about Venn diagrams and how we use them to carry out set operations. We will also cover some laws of algebra concerning sets.

#### RD Sharma Solutions for Class 11 Maths Chapter 2: Relations

In this chapter, we will learn about how a relationship is created between two pairs of sets by linking them. We shall learn about how a relation qualifies as a function.

#### RD Sharma Solutions for Class 11 Maths Chapter 3: Functions

In this chapter, we shall cover the concepts of equal function, real function and some standard real functions.

#### RD Sharma Solutions for Class 11 Maths Chapter 4: Measurement of Angles

This will lay the foundation of the entire trigonometry lessons we will be learning in class 11.

#### RD Sharma Solutions for Class 11 Maths Chapter 5: Trigonometric Functions

Trigonometry is a very important branch of mathematics. It deals mainly with the study of angles. In class 11, we shall be covering some key concepts in trigonometry like trigonometric functions as well as trigonometric equations. Problem-solving will be the key to grasping these concepts.

#### RD Sharma Solutions for Class 11 Maths Chapter 6: Graphs of Trigonometric Functions

We shall learn how to graph the trigonometric functions we learnt in the previous chapter

#### RD Sharma Solutions for Class 11 Maths Chapter 7: Trigonometric Ratios of Compound Angles

We will learn about compound angles and the use of trigonometry to connote these compound angles

#### RD Sharma Solutions for Class 11 Maths Chapter 8: Transformation Formulae

We will further learn about some standard trigonometric formulae and their derivations

#### RD Sharma Solutions for Class 11 Maths Chapter 9: Trigonometric Ratios Of Multiple And Sub Multiple Angles

In this chapter, you will be introduced to the six ratios that are at the core of trigonometry. We will also see the fundamental trigonometry ratios.

#### RD Sharma Solutions for Class 11 Maths Chapter 10: Sine And Cosine Formulae And Their Applications

Further in-depth study of the two most important ratios: sine and cosine. We will also learn about their applications.

#### RD Sharma Solutions for Class 11 Maths Chapter 11: Trigonometric Equations

The chapter details the principle solutions and general solutions of trigonometric equations along with proofs.

#### RD Sharma Solutions for Class 11 Maths Chapter 12: Principle of Mathematical Induction

Mathematical induction is a new concept introduced to students in class 11. It is the method by which we prove a mathematical theorem or statement. It is how we prove that the statement is true for all natural numbers until the nth number. The two main principles that we will learn are deduction and induction.

#### RD Sharma Solutions for Class 11 Maths Chapter 13: Complex Number

This lesson includes an in-depth study of complex numbers and algebra of complex numbers. We shall also be covering the polar representation of these numbers.

#### RD Sharma Solutions for Class 11 Maths Chapter 14: Quadratic Equations

This lesson includes quadratic equations and their solving using various methods.

#### RD Sharma Solutions for Class 11 Maths Chapter 15: Linear Inequalities

Here we shall study the types of inequality and the rules of inequality. We shall also study how a linear inequality equation with one variable and two variables by using a graph.

#### RD Sharma Solutions for Class 11 Maths Chapter 16: Permutation

We have already learned the basics of permutations and combinations in our lower classes. In class 11 we will explore some newer concepts such as geometric applications of combinations, the permutation of alike objects, circular permutations etc.

#### RD Sharma Solutions for Class 11 Maths Chapter 17: Combination

We shall learn more about combinations and various types of combinations such as division of objects into groups using combination, and many such theorems associated with it.

#### RD Sharma Solutions for Class 11 Maths Chapter 18: Binomial Theorem

In this chapter, we will learn the basics of the binomial theorem. We shall learn the binomial theorem for positive indices and positive integer. We will learn about the expansion of the general and middle term of the binomial expression and also see the concept of binomial coefficients.

#### RD Sharma Solutions for Class 11 Maths 19: Arithmetic Progression

Here we shall learn in detail about Arithmetic progression, and its means and theorems. It is a very interesting chapter.

#### RD Sharma Solutions for Class 11 Maths 20: Geometric Progression

Students will learn the fascinating concept of geometric growth and geometric progression along with many examples and applications

#### RD Sharma Solutions for Class 11 Maths 21: Some Special Series

This chapter contains three types of special series that deal with ‘n’ natural numbers. These equations are important and the students must know them.

#### RD Sharma Solutions for Class 11 Maths 22: Brief Review Of Cartesian System Of Rectangular Coordinates

Students are introduced to the basic concepts of coordinate geometry and the Cartesian plane

#### RD Sharma Solutions for Class 11 Maths Chapter 23: Straight Lines

This chapter will cover many interesting concepts such as distance formula, section formula, slope formula, the concepts of centroid and incentive. We shall also learn about the concepts and equations of parallel lines and perpendicular lines.

#### RD Sharma Solutions for Class 11 Maths Chapter 24: The Circle

Conic sections is a very important chapter in class 11. It deals with one-dimensional curved geometric figures and their applications as per their formulas. The first figure you will study is the circle.

#### RD Sharma Solutions for Class 11 Maths Chapter 25: Parabola

We shall study the parabola, the standard equations of a parabola and the latus rectum equation.

#### RD Sharma Solutions for Class 11 Maths Chapter 26: Ellipsis

Ellipsis is another figure of a conic section. We will learn about all the special cases and equations of an ellipsis.

#### RD Sharma Solutions for Class 11 Maths Chapter 27: Hyperbola

The chapter includes the definition, the standard equations of a hyperbola and the different types of the hyperbola.

#### RD Sharma Solutions for Class 11 Maths Chapter 28: Introduction to Three Dimensional Geometry

This is the very first introduction of 3D geometry in the student’s curriculum. This chapter shall cover the basic concepts of 3D geometry such as coordinate axes, ordered pair, Cartesian plane etc.

#### RD Sharma Solutions for Class 11 Maths Chapter 29: Limits Derivatives

Calculus is also introduced in class 11 via this chapter. Students will learn the basic algebra of limits and derivatives. They shall learn the theorems along with their proofs for an in-depth understanding of limits and their functions.

#### RD Sharma Solutions for Class 11 Maths Chapter 30: Derivatives

We shall be introduced to derivatives and the algebra of derivatives of functions. We will also study Derivative of polynomials and trigonometric functions

#### RD Sharma Solutions for Class 11 Maths Chapter 31: Mathematical Reasoning

Students will learn about inductive and deductive reasoning. Also, they will be introduced to basic concepts such as logic, proposition, open and compound statements, implications etc.

#### RD Sharma Solutions for Class 11 Maths Chapter 32: Statistics

Here students will be reintroduced to basic statistics and their graphical representation.

#### RD Sharma Solutions for Class 11 Maths Chapter 33: Probability

We will learn about new concepts such as random experiments, compound events, and the algebra of events.

### Solved Questions from RD Sharma Solutions for Class 11 Maths

Q: Describe the following set in Roster form: {x:x is a letter before e in the English alphabet}

Ans: In roster form, a set is defined by listing elements, separated by commas, within braces {}.

Thus it becomes: {a,b,c,d}

Q: (2×3)!=2!×3!

- True
- False

Ans: False

(2×3)!=2!×3!

LHS: (2×3)!= 6!=730

RHS: 2! x 3! = 12

Q: There are four men and six women on the city councils. If one council number is selected for a committee at random, how likely that it is a woman

Ans: Out of 4 men and 6 women one person can be chosen in ^{1o}C_{1 }=10 ways.

The number of ways of selecting 1 woman out of 6 women = ^{6}C_{1 }=6.

∴ Required probability = 6/10 = 3/5

Q: If P and Q are two sets such that P has 40 elements, P∪Q has 60 elements and P∩Q has 10 elements, how many elements does Q have?

- 30
- 40
- 50
- 1200

Ans: Answer is A, 30 elements.

n(P) = 40; n (P∩Q) = 10; n(P∪Q) = 60

As we know,

n(P∪Q) = n(P) + n(Q) – n(P∪Q)

60 = 40 + n(Q) -10

n(Q) = 30

### FAQs related to RD Sharma Solutions for Class 11 Maths

Q: **How is RD Sharma class 11 solutions helpful for Mathematics?**

Ans: The key feature of these solutions, is that a step-by-step explanation is given for every question. There are no shortcuts or missing steps. So if the student pays keen attention, the answer becomes self-explanatory. It also helps the student in strengthening their concepts and acing their exams!

Q: **Can we use RD Sharma class 11 solutions for revision?**

Ans: Yes, for last-minute revision it is helpful to have all your answers in one place, so you don’t have to go looking for the solutions. RD Sharma class 11 solutions for Mathematics will provide all the answers to the exercise in one place for easy reference

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