Acing the Class 10 exams is one of the most successful steps in deciding the career path of a student towards a bright future. Students who wish to ace the exams will not just refer to the NCERT Solutions but will also solve other study materials. The RS Aggarwal Class 10 Maths Solutions are provided here with all the chapters PDF for the students to download. With the help of these RS Aggarwal solutions available for class 10 Maths subjects, students can practice a large number and types of questions from the NCERT Textbook as well as the previous year board papers.

RS Aggarwal is a well-known name for the students of CBSE and ICSE Board. A large number of MCQs and separate exercises for very-short answer, short-answer and long answer questions are also included in these solutions. These additional questions from the RS Aggarwal Solutions are expected to give ample practice for the students.

## RS Aggarwal Class 10 Maths Solutions (Chapter-wise)

- RS Aggarwal Class 10 Maths Solutions Chapter 1- Real Numbers
- RS Aggarwal Class 10 Maths Solutions Chapter 2- Polynomials
- RS Aggarwal Class 10 Maths Solutions Chapter 3- Linear Equations In Two Variables
- RS Aggarwal Class 10 Maths Solutions Chapter 4- Quadratic Equations
- RS Aggarwal Class 10 Maths Solutions Chapter 5- Arithmetic Progression
- RS Aggarwal Class 10 Maths Solutions Chapter 6- Coordinate Geometry
- RS Aggarwal Class 10 Maths Solutions Chapter 7- Triangles
- RS Aggarwal Class 10 Maths Solutions Chapter 8- Circles
- RS Aggarwal Class 10 Maths Solutions Chapter 9- Constructions
- RS Aggarwal Class 10 Maths Solutions Chapter 10- Trigonometric Ratios
- RS Aggarwal Class 10 Maths Solutions Chapter 11- T-Ratios of Some Particular Angles
- RS Aggarwal Class 10 Maths Solutions Chapter 12- Trigonometric Ratios of Complementary Angles
- RS Aggarwal Class 10 Maths Solutions Chapter 13- Trigonometric Identities
- RS Aggarwal Class 10 Maths Solutions Chapter 14- Heights and Distances
- RS Aggarwal Class 10 Maths Solutions Chapter 15- Perimeter and Area of Plane Figures
- RS Aggarwal Class 10 Maths Solutions Chapter 16- Area of Circle, Sector and Segment
- RS Aggarwal Class 10 Maths Solutions Chapter 17- Volume and Surface Area of Solids
- RS Aggarwal Class 10 Maths Solutions Chapter 18- Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
- RS Aggarwal Class 10 Maths Solutions Chapter 19- Probability

Students are also given access to additional online study materials and resources, available in CoolGyan, such as notes, books, question papers, exemplar problems, worksheets etc. Students are also advised to practice Class 10 Sample Papers to get an idea of the question pattern in the final exam.

### RS Aggarwal Class 10 Maths Solutions

Students who find it difficult to solve tough Math problems can refer to these RS Aggarwal 10th maths solutions to get better guidance. Solving these exercises in each chapter will assure that students score good marks in the exams.

#### RS Aggarwal Class 10 Maths Solutions Chapter 1- Real Numbers

In chapter 1 of RS Aggarwal Textbook, we continue the discussions about real numbers starting with Eulicid’s Division Lemma and The Fundamental Theorem of Arithmetic. According to the Eulicid’s Division Algorithm, we find the steps to find HCF of two positive integers a and b with a> b. Additionally, in The Fundamental Theorem of Arithmetic, it is also explained how Every composite number can be expressed as a product of primes, and this factorization is unique, apart from the order in which the prime factors occur. We have compiled here the exercises from this chapter.

RS Aggarwal Class 10 Maths Chapter 1 Real Numbers Exercise 1A

RS Aggarwal Class 10 Maths Chapter 1 Real Numbers Exercise 1B

RS Aggarwal Class 10 Maths Chapter 1 Real Numbers Exercise 1C

RS Aggarwal Class 10 Maths Chapter 1 Real Numbers Exercise 1D

RS Aggarwal Class 10 Maths Chapter 1 Real Numbers Exercise 1E

#### RS Aggarwal Class 10 Maths Solutions Chapter 2- Polynomials

Chapter 2 of Class 10 RS Aggarwal deals with a particular type of algebraic expression called polynomials and its related concepts including the value of a polynomial at a point, Zeros of a polynomial, its general form and so on. A polynomial is said to be linear, quadratic, cubic, and biquadratic as its degree is 1, 2, 3 and 4 respectively. Here, you can find the list of exercises from this chapter, which is formulated based on the above given concepts.

RS Aggarwal Class 10 Maths Chapter 2 Polynomials Exercise 2A

RS Aggarwal Class 10 Maths Chapter 2 Polynomials Exercise 2B

RS Aggarwal Class 10 Maths Chapter 2 Polynomials Exercise 2C

#### RS Aggarwal Class 10 Maths Solutions Chapter 3- Linear Equations in Two Variables

Chapter 3- Pair of Linear Equations in Two Variables of RS Aggarwal Class 10 Maths Solutions gives an account of the various topics related to the linear equations in two variables. Some of the concepts discussed in the chapter via the listed exercises consist of Solution of a Linear Equation, Simultaneous Linear Equations In Two Variables, Solution of a Given System of Two Simultaneous Equations, Consistent and Inconsistent Systems of Linear Equations and more. Some of the methods explained to solve the Simultaneous Linear Equations in this chapter via the exercises include graphical method, the algebraic method covering the substitution or elimination methods, and so on.

RS Aggarwal Class 10 Maths Chapter 3 Linear Equations in Two Variables Exercise 3A

RS Aggarwal Class 10 Maths Chapter 3 Linear Equations in Two Variables Exercise 3B

RS Aggarwal Class 10 Maths Chapter 3 Linear Equations in Two Variables Exercise 3C

RS Aggarwal Class 10 Maths Chapter 3 Linear Equations in Two Variables Exercise 3D

RS Aggarwal Class 10 Maths Chapter 3 Linear Equations in Two Variables Exercise 3E

RS Aggarwal Class 10 Maths Chapter 3 Linear Equations in Two Variables Exercise 3F

#### RS Aggarwal Class 10 Maths Solutions Chapter 4- Quadratic Equations

Chapter 4 of RS Aggarwal Class 10 Maths deals with the topic Quadratic Equations. Babylonians were the first to solve the quadratic equations of the form X^{2} – px + q=0. Brahmagupta(AD 598-665), an Indian Mathematician gave an explicit formula to solve a quadratic equation of the form ax^{2}– bx=c. An Arab Mathematician, al-Khwarizmi in AD 800 also studied quadratic equations of various types. Meanwhile, in this chapter students get to learn how to solve the quadratic equation using factorisation or by completing the square.

RS Aggarwal Class 10 Maths Chapter 4 Quadratic Equations Exercise 4A

RS Aggarwal Class 10 Maths Chapter 4 Quadratic Equations Exercise 4B

RS Aggarwal Class 10 Maths Chapter 4 Quadratic Equations Exercise 4C

RS Aggarwal Class 10 Maths Chapter 4 Quadratic Equations Exercise 4D

#### RS Aggarwal Class 10 Maths Solutions Chapter 5- Arithmetic Progression

According to a definite rule, some numbers arranged in a definite order are said to form a sequence. The number occurring at the *n*th place of a sequence is called its* n*th term, denoted by T* _{n}* or a

_{n}_{ . }Chapter 5 of RS Aggarwal Class 10 Maths deals with the topic Arithmetic Progression. A sequence in which term differs from its preceding term by a constant is called an Arithmetic Progression, written as AP. Other subtopics that this chapter covers include Arithmetic Series, Finding the general term of an AP, Arithmetic Mean, Sum of n terms of an AP and more.

RS Aggarwal Class 10 Maths Chapter 5 Arithmetic Progression Exercise 5A

RS Aggarwal Class 10 Maths Chapter 5 Arithmetic Progression Exercise 5B

RS Aggarwal Class 10 Maths Chapter 5 Arithmetic Progression Exercise 5C

RS Aggarwal Class 10 Maths Chapter 5 Arithmetic Progression Exercise 5D

#### RS Aggarwal Class 10 Maths Solutions Chapter 6- Coordinate Geometry

Learn about Lines( In two dimensions) in chapter 6- Coordinate Geometry of RS Aggarwal Class 10 Maths. Other subtopics covered in this include the concepts of coordinate geometry, graphs of linear equations, distance between two points, section formula (internal division) and area of the triangle, etc. Here, you can see the exercises explaining these concepts properly.

RS Aggarwal Class 10 Maths Chapter 6 Coordinate Geometry Exercise 6A

RS Aggarwal Class 10 Maths Chapter 6 Coordinate Geometry Exercise 6B

RS Aggarwal Class 10 Maths Chapter 6 Coordinate Geometry Exercise 6C

RS Aggarwal Class 10 Maths Chapter 6 Coordinate Geometry Exercise 6D

#### RS Aggarwal Class 10 Maths Solutions Chapter 7- Triangles

Chapter 7 of RS Aggarwal Class 10 Maths dealing with Triangles will also explain the difference between congruent figures and similar figures. Other concepts covered in this chapter include Similar Polygons, Equiangular Triangles, and Similar Triangles. This chapter also discusses various theorems such as the Thales Theorem, Converse of Thales Theorem, Midpoint Theorem, Angle-Bisector Theorem, AAA-similarity, SSS-similarity, SAS- similarity, Pythagoras Theorem and more.

RS Aggarwal Class 10 Maths Chapter 7 Triangles Exercise 7A

RS Aggarwal Class 10 Maths Chapter 7 Triangles Exercise 7B

RS Aggarwal Class 10 Maths Chapter 7 Triangles Exercise 7C

RS Aggarwal Class 10 Maths Chapter 7 Triangles Exercise 7D

RS Aggarwal Class 10 Maths Chapter 7 Triangles Exercise 7E

#### RS Aggarwal Class 10 Maths Solutions Chapter 8- Circles

Chapter 8 of RS Aggarwal Class 10 Maths deals with Circles. A circle is a collection of all points in a plane that is at a constant distance from a fixed point. The constant distance is called the radius and the fixed point is called the centre of the circle. In this chapter, learn about the secant, tangent, number of tangents to a circle, length of a tangent and so on.

RS Aggarwal Class 10 Maths Chapter 8 Circles Exercise 8A

RS Aggarwal Class 10 Maths Chapter 8 Circles Exercise 8B

#### RS Aggarwal Class 10 Maths Solutions Chapter 9-Constructions

Chapter 9 of RS Aggarwal Class 10 Maths discusses the topic Constructions. Students get to learn about 1. Division of a line segment in a given ratio(internally), 2. Tangent to a circle from a point outside it and 3. Construction of the triangle similar to a given triangle and so on. Here, we have given exercises with solutions based on these topics from the chapter.

RS Aggarwal Class 10 Maths Chapter 9 Constructions 9A

RS Aggarwal Class 10 Maths Chapter 9 Constructions Exercise 9B

#### RS Aggarwal Class 10 Maths Solutions Chapter 10- Trigonometric Ratios

This chapter 5 from RS Aggarwal Class 1O Maths, deals with the topic of Trigonometric Ratios. This is a branch of Mathematics that deals with the measurement of angles and the problems that are allied with the angles. Some of the sub-topics covered in this chapter include Trigonometric Ratios(T-Ratios) of An Acute Angle of a Right Triangle, Reciprocal Relation, T-Ratios of Angles Are Well-Defined, Quotient Relation of T-Ratios, Square Relation and so on.

#### RS Aggarwal Class 10 Maths Solutions Chapter 11- T-Ratios of Some Particular Angles

In this chapter, students are introduced to the T-Ratios of Some Particular Angles. The concepts covering Trigonometric Ratios of 45°, Trigonometric Ratios of 60° and 30°, T-Ratios of 60°, T-Ratios of 30°, Axioms For T-Ratios of 0° and Axioms For T-Ratios of 90° are explained very well via examples.

#### RS Aggarwal Class 10 Maths Solutions Chapter 12- Trigonometric Ratios of Complementary Angles

Two angles are said to be complementary if their sum is 90°. Thus, θ and (90°- θ) are complementary angles. In chapter 112 of RS Aggarwal Class 10 Maths, the topic discussed in detail is the Trigonometric Ratios of Complementary Angles.

#### RS Aggarwal Class 10 Maths Solutions Chapter 13- Trigonometric Identities

If it is true for all values of the angles, an equation involving trigonometric ratios of an angle is called trigonometric identity. In chapter 13 of RS Aggarwal Class 10 Maths, it discusses some of the trigonometric identities. We have compiled here the solutions to exercises from this chapter which has tried to explain the concept thoroughly.

RS Aggarwal Class 10 Maths Chapter 13 Trigonometric Identities 13A

RS Aggarwal Class 10 Maths Chapter 13 Trigonometric Identities 13B

RS Aggarwal Class 10 Maths Chapter 13 Trigonometric Identities 13C

#### RS Aggarwal Class 10 Maths Solutions Chapter 14- Heights and Distances

This chapter concentrates on some important concepts about the topic heights and distances. In this chapter from RS Aggarwal students can get to learn some problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 35°, 45° and 60°.

#### RS Aggarwal Class 10 Maths Solutions Chapter 15- Perimeter and Area of Plane Figures

This chapter deals with Perimeter and Area of Plane Figures. The perimeter of a plane figure is the length of its boundary. In case of a triangle or a polygon, the perimeter is the sum of the lengths of its side. Apart from this, students also get to learn about area of a plane figure with solved examples and exercises. Below we have listed solutions for the exercises from this chapter.

RS Aggarwal Class 10 Maths Chapter 15 Perimeter and Area of Plane Figures

15A

RS Aggarwal Class 10 Maths Chapter 15 Perimeter and Area of Plane Figures

15B

#### RS Aggarwal Class 10 Maths Solutions Chapter 16- Area of Circle, Sector and Segment

Chapter 16 of RS Aggarwal Class 10 Maths deals with the topic of “Area of Circle, Sector and Segment”. The concepts that are discussed include “motivate the area of a circle”; “area of sectors and segments of a circle”, problems based on areas and perimeter/ circumference of the given plane figures etc.

RS Aggarwal Class 10 Maths Chapter 16 Area of Circle, Sector and Segment 16A

RS Aggarwal Class 10 Maths Chapter 16 Area of Circle, Sector and Segment 16B

#### RS Aggarwal Class 10 Maths Solutions Chapter 17- Volume and Surface Areas of Solids

Chapter 17 of RS Aggarwal Class 10 Maths constitutes topics related to Volume and Surface Areas of Solids. The concepts covered in the chapter include surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/ cones, frustum of a cone etc. Solutions to the exercises from the chapter can be accessed from here.

RS Aggarwal Class 10 Maths Chapter 17 – Volume and Surface Areas of Solids 17A

RS Aggarwal Class 10 Maths Chapter 17 – Volume and Surface Areas of Solids 17B

RS Aggarwal Class 10 Maths Chapter 17 – Volume and Surface Areas of Solids 17C

RS Aggarwal Class 10 Maths Chapter 17 – Volume and Surface Areas of Solids 17D

#### RS Aggarwal Class 10 Maths Solutions Chapter 18- Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive

Is it possible to compare the wage distribution of workers in two factories and determine which factory pays more to its workers based on individual workers?. Not possible. However, if for the given data another representative value is also given that signifies its characteristics of the data, then it becomes easier to come to a conclusion. This value representative of the whole data and signifying its characteristics is called an average of the data. Average normally lie centrally with the values of the variable arranged in ascending order of magnitude. So, an average is also called a *measure of central tendency *of the data. Chapter 18 of RS Aggarwal class 10 Maths deals with three measures of central tendency, which is useful for analyzing the data, namely (a) mean (b) median and (c) mode and its comparative study.

RS Aggarwal Class 10 Maths Chapter 18 – Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive 18 A

RS Aggarwal Class 10 Maths Chapter 18 – Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive 18 B

RS Aggarwal Class 10 Maths Chapter 18 – Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive 18 C

RS Aggarwal Class 10 Maths Chapter 18 – Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive 18 D

RS Aggarwal Class 10 Maths Chapter 18 – Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive 18 E

#### RS Aggarwal Class 10 Maths Solutions Chapter 19- Probability

Students can learn about the classical definition of Probability from this chapter. Probability is a concept which numerically measures the degree of certainty of the occurrence of events. Chapter 19 of RS Aggarwal Class 10 Maths also deals with simple problems on single events( not using set notation). From below given links, students can access the exercises with solutions explaining the concepts from this chapter.

RS Aggarwal Class 10 Maths Chapter 19 – Probability 19A

RS Aggarwal Class 10 Maths Chapter 19 – Probability 19B

We realize the importance of practising problems for better understanding of concepts and its applications. For this reason, we, at CoolGyan bring to the students an all-inclusive RS Aggarwal class 10 Maths solutions. These solutions will help the students to practice a variety of questions from different chapters to develop their analytical and reasoning skills.

### Benefits of RS Aggarwal Class 10 Maths Solutions

- These solutions are prepared by subject matter experts focussing on accuracy
- Simple and easy explanations are given in the solutions for the exercises
- The solutions also include illustrations and graphs that help to make the concepts clear
- Students can smoothly and very easily access chapter-wise and exercise wise solutions
- Covers all topics from the CBSE Class 10 Syllabus
- Students get to practice extra questions from the chapters