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# RS Aggarwal Class 10 Solutions

RS Aggarwal Class 10 Maths Solutions are an important study material for everyone studying in CBSE Class 10. The solutions have been carefully crafted by our expert Maths Teachers in view of your requirements at this stage. All the concepts covered in RS Aggarwal Class 10 Solutions are in line with the Class 10 current syllabus.

RS Aggarwal Solutions for Class 10 Maths Book comprises 19 chapters. It covers all topics comprehensively from arithmetic, geometry, trigonometry, statistics and algebra. Our RS Aggarwal Solutions help you learn about the concepts of real numbers, polynomials, pair of linear equations in two variables, triangles, trigonometric ratios, trigonometric identities, statistics, quadratic equations, arithmetic progressions, circles, constructions, some applications of trigonometry, probability, coordinate geometry and areas related to circles and surface areas and volumes in detail and in a step by step manner.

Our RS Aggarwal Class 10 Maths  Books Solutions help you in clearing all your doubts quickly and strengthen your conceptual foundation. These solutions are written in simple and easy to follow language so that you can understand easily. Our Maths shortcuts and useful learning techniques help you score high marks in your board exams. RS Aggarwal Class 10 Maths Solutions cover all possible question types that can be asked in your board exam.

Class 10

## RS Aggarwal Solutions for Class 10 Maths

Our RS Aggarwal Class 10 Maths Solutions cover all the concepts included in Class 10 Maths syllabus. There are a total of 19 chapters in RS Aggarwal Class 10 Book. All the topics covered in RS Aggarwal Class 10th textbook are discussed below.

## RS Aggarwal Class 10 Solutions Chapter 1: Real Numbers

In the RS Aggarwal Class 10 Real Numbers chapter, you learn about two essential properties of positive integers that are Euclid’s division algorithm related to the divisibility of integers and Euclid’s Lemma. You also learn the fundamental theorem of arithmetic related to multiplication of positive integers. Theorems for irrational numbers are also taught here which cover the situations when a decimal expansion of p/q is terminating and decimal expansion which is repeating or recurring are non-terminating.  RS Aggarwal Class 10 chapter 1 contains 5 exercises and 74 questions.

## RS Aggarwal Class 10 Solutions Chapter 2: Polynomials

There are 3 exercises and a total of 65 questions in the Polynomials chapter. Here you learn all about quadratic polynomials and know how to verify the relationship between the zeroes and the coefficients of given quadratic polynomials. You also learn how to solve questions on linear, cubic and biquadratic polynomials and divisions of given polynomials along with finding all the zeros of a polynomial.

## RS Aggarwal Class 10 Solutions Chapter 3: Linear equations in two variables

Chapter 3 teaches you about graphical and algebraic methods of solution of a pair of linear equations. When the graphical method is not workable, you can use substitution or elimination methods. Further, you learn how to solve questions using cross related multiplication methods, questions on pairs of equations which are not linear, on simultaneous linear equations in two variables and on consistent and inconsistent systems of linear equations There are 6 exercises and 106 questions in this chapter. Our smart and systematic RS Aggarwal Class 10 Maths Solutions answer all questions from all chapters in a step by step manner.

## RS Aggarwal Class 10 Solutions Chapter 4: Quadratic Equations

In this chapter, you learn about determination and formulation of quadratic equations. You learn various ways of finding zeros or roots of quadratic equations like factorisation, completing the square, and using the quadratic formula. You also learn how to find the nature of quadratic equations roots using the discriminant. There is a total of 4 exercises consisting of 81 questions in this chapter. Our RS Agarwal Class 10 Maths Solutions answer all questions from all exercises comprehensively and in a to the point manner.

## RS Aggarwal Class 10 Solutions Chapter 5: Arithmetic Progression

There are 81 questions asked in a total of 4 exercises in this chapter. RS Aggarwal Class 10 Arithmetic Progression chapter teaches you about arithmetic progressions (AP), nth term of an AP and sum of the first n provided terms of an AP. Here you come to know how successive terms are found by adding a fixed number to the preceding terms. You also learn to describe the sequence by writing the algebraic formula for given terms. Chapter 5 teaches you how to find the sum of the given terms. You also learn here about calculating nth terms and the sum of n consecutive terms.

## RS Aggarwal Class 10 Solutions Chapter 6: Coordinate Geometry

Coordinate Geometry chapter of RS Aggarwal Class 10 book deals with the important topic of coordinate geometry where you learn to tackle different questions on locating the coordinates, drawing graphs of linear equations, determining the distance from a point, calculating the distance between two points, dividing a line segment into two parts in a given ratio and calculation of area of a triangle. In chapter 6, you will come across 4 exercises with a total of 88 questions. Our RS Aggarwal Class 10 Maths Solutions answer all questions of all exercises in an easy to understand manner to help you learn quickly and effectively.

## RS Aggarwal Class 10 Solutions Chapter 7: Triangles

There are 5 exercises consisting of 48 questions in RS Aggarwal Class 10 Triangles chapter. Here you learn about types of triangles and proving similarity and congruency of triangles based on different criteria. You also learn the concepts of similar polygons and equiangular triangles. This chapter also discusses Thales Theorem, Converse of Thales Theorem, Midpoint Theorem, Pythagoras Theorem and Angle-Bisector Theorem. You also learn about the qualities of the right-angled triangle. Our well-structured RS Aggarwal Class 10 Chapter 7 Solutions cover all concepts of the triangles topic in details.

## RS Aggarwal Class 10 Solutions Chapter 8: Circles

There are 2 exercises containing 31 questions in RS Aggarwal Class 10 Circles chapter. Chapter 8 defines a circle as an assembly of all points in a plane that is at a constant distance from a particular point, and the fixed distance is known as radius. You also learn here about the properties of circles, secants, tangents of a circle, length of a tangent, number of tangents passing from a given point on the circle. This chapter also teaches you that a tangent to a circle is perpendicular to the radius at the point of contact and lengths of the two tangents from an external point to a circle are equal.

## RS Aggarwal Class 10 Solutions Chapter 9: Constructions

Chapter 9 from geometry consists of 2 exercises and 20 questions. You learn about the methods of division of a line segment in a particular ratio, construction of triangles similar to another given triangle and construction of tangents to a circle. You also come to know how to draw a tangent to a circle — at a given point on the circle, at a point on it without using the centre and from a point outside the circle when the centre of the circle is known. Next, you learn how to draw linear and vertically opposite pair of angles and bisect them all using a ruler and a compass. Our descriptive RS Aggarwal Class 10 Maths Solutions cover all constructions in detail and in easy to understand steps with corresponding diagrams to help you learn faster and better.

## RS Aggarwal Class 10 Solutions Chapter 10: Trigonometric Ratios

This chapter contains 1 exercise consisting of 31 questions. Here you learn how to determine the values of trigonometric ratios in a triangle when the size of sides is given, or any other trigonometric ratio is given. You also learn to determine the values of the trigonometric equation prepared with related trigonometric ratio terms along with some other trigonometric ratio relationships. This chapter also teaches you how to evaluate the given equations based on trigonometric ratios.

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

This chapter teaches you about trigonometric ratios of some particular angles such as 30, 45, and 60 degrees. You also learn about axioms for T-ratios for 0 and 90-degree angles. Here you find 1 exercise containing 27 questions for practise. Our RS Aggarwal Class 10 Maths Solutions cover all corners of the chapter and help you gain an in-depth understanding of the same.

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

In this chapter, you come to know that two angles are complementary angles if their sum is 90 degrees, and you also learn how to evaluate various trigonometric ratios for complementary angles without using trigonometric tables. There is 1 exercise containing 12 questions in chapter 12. All questions of this exercise have been answered in details in our RS Aggarwal Solutions drafted by expert maths teachers.

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

You learn here that trigonometric identity is an equation which involves trigonometric ratios of an angle. You learn to express and determine one trigonometric ratio in terms of other trigonometric ratios. You also learn how to solve various equations involving trigonometric ratios of an angle where one trigonometric identity is proved first, and then it is used to prove further trigonometric identities. You need to remember the identities in order to solve the questions effectively. There are 3 exercises with 39 questions in chapter 13, and all of these are answered in detail.

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

Heights and Distances chapter of RS Aggarwal Class 10 solutions consists of 1 exercise and 15 questions. This chapter is based on the application of the concepts of trigonometry. You learn how to make an imaginary right angle using the information given in a question and then determine any one or a combination of following questions asked – the height of the object, distance between two objects. Distance between two objects is usually the base of the imaginary triangle. Here you also learn about the angle of elevation or depression. Some questions in chapter 14 are based on two right-angled triangles either lying inside each other, placed back to back or placed opposite to each other.

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

In this chapter, you learn about the important formulas for determination of perimeter and areas of 2-dimensional plane figures. Here you learn about the perimeter of the rectangle and area of a rectangle. Further, you learn how to calculate the perimeter of a triangle and the area of different types of triangles. This chapter has 2 exercises and 40 questions. Our RS Aggarwal Class 10 chapter 15 Solutions cover all concepts of the topic in details

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

This chapter has 57 questions in 2 exercises. In chapter 16, you get to study about the circumference and area of circles. Next, you learn how to determine the length or angle of arc subtended on the perimeter of a circle in consideration. You also learn about the determination of the areas of major and minor segments given in a circle applying different formulas and calculation of areas of combined geometrical figures.

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

In chapter 17,  there are a total of 40 questions asked in 4 exercises. In this chapter, you learn about how to determine surface areas and volumes of basic three-dimensional geometrical figures like cuboid, cube, cone, cylinder sphere, hemisphere and frustum of a cone. You also learn to determine the surface area and volume of objects formed by combining any two of the basic solid shapes. Questions based on the frustum of right circular cone surface area and its volume are a new introduction to the syllabus. Our RS Aggarwal Solutions are the best study material available for learning and revising these topics.

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

There are 5 exercises and 36 questions in chapter 18. Here you learn to perform direct calculations of mean, assumed mean and calculation of mean with step-deviation methods. You also learn the median calculation with class intervals, types of cumulative frequency distribution, and graphical representation of the median. This chapter also teaches you the ways of estimating mode from a set of grouped data, ungrouped data, finding mode without class intervals, graphical representation of mode, and calculation of central tendency, cumulative frequency curve (Ogive) and ogive for a ‘less than’ series and a ‘greater than’ series.

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

You learn the basic concepts of probability in this chapter and terms like equally likely, and possible outcomes of experiments. Further, you learn about the theoretical approach to probability, random experiments, events, the possible outcome of an event, elementary and complementary events and compound events. You come across the probability of occurrence of an event in theory and word problems in real-life situations. There are 34 questions in 2 exercises of RS Aggarwal Class 10 Probability chapter.