RD Sharma Solutions

RD Sharma Solutions for Class 10 Maths – Free PDF Download

Class 10 Maths is a difficult subject and consists of various difficult chapters. Trigonometric ratios, trigonometric identities, arithmetic progressions, probability, constructions, etc. are a part of class 10 Maths syllabus and involve a high level of skill and knowledge. The students need a lot of practice in order to master these chapters. The RD Sharma class 10 solutions aim at providing various easy mathematics tricks and shortcuts so that the students can make quick and accurate calculations and score excellent marks.

Importance of RD Sharma Solutions for Class 10 Maths

RD Sharma class 10 solutions are of vital importance for the students preparing for Class 10 Board Maths examination. We at Toppr are providing the RD Sharma solutions in an easy and understandable manner. These solutions will help the students to gain conceptual knowledge as they provide an algorithmic approach. These solutions will also make learning maths interesting and easy for them. RD Sharma class 10 solutions contain a variety of questions so as to ensure that students will be able to solve all types of questions that can be asked in the examination paper.

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Chapters under RD Sharma Solutions for Class 10 Maths

rd sharma class 10 solutions

RD Sharma Solutions for Class 10 Maths Chapter 1: Real Numbers 

This chapter of RD Sharma explains the divisibility on integers, properties of integers like Euclid’s division lemma, Euclid’s division algorithm and the Fundamental Theorem of Arithmetic.

RD Sharma Solutions for Class 10 Maths Chapter 2: Polynomials

This chapter deals with the geometrical representation of linear and quadratic polynomials, the geometric meaning of their zeros and relationship between the zeros and coefficients of a polynomial.

RD Sharma Solutions for Class 10 Maths Chapter 3: Pair of Linear Equations in Two Variables 

This chapter deals with the systems of linear equations in two variables, solution of a system of linear equations in two variables, and graphical and algebraic methods of solving a system of linear equations in two variables.

RD Sharma Solutions for Class 10 Maths Chapter 4: Triangles

This chapter covers topics such as the similarity of geometric figures, similar triangles and their properties.

RD Sharma Solutions for Class 10 Maths Chapter 5: Trigonometric Ratios 

This chapter explains the basic concepts of trigonometry, trigonometric ratios and relations between them, trigonometric ratios of some specific angles and trigonometric ratios of complementary angles.

RD Sharma Solutions for Class 10 Maths Chapter 6: Trigonometric Identities 

This chapter deals with the proving of trigonometric identities, and also using them to prove other useful trigonometric identities.

RD Sharma Solutions for Class 10 Maths Chapter 7: Statistics

This chapter deals with the various measures of central tendency like the mean, median and mode of grouped data, and cumulative frequency graph of a frequency distribution.

RD Sharma Solutions for Class 10 Maths Chapter 8: Quadratic Equations 

In this chapter, students will learn various ways of finding the zeros or roots of Quadratic polynomials and equations and also some applications of quadratic equations in daily life.

RD Sharma Solutions for Class 10 Maths Chapter 9: Arithmetic Progressions 

This chapter explains the concepts like general, nth, selection, the sum of terms of an A.P.

RD Sharma Solutions for Class 10 Maths Chapter 10: Circles 

In this chapter, the students will learn the concepts of the secant of a circle and tangent to a circle as well as their properties and also the problems related to the circle, triangle and quadrilateral.

RD Sharma Solutions for Class 10 Maths Chapter 11: Constructions Solutions

This chapter teaches the students to construct a triangle similar to a given triangle and tangents to a circle.

RD Sharma Solutions for Class 10 Maths Chapter 12: Some Applications of Trigonometry 

This chapter explains the important concepts based on trigonometric results and the problems related to heights and distances.

RD Sharma Solutions for Class 10 Maths Chapter 13: Probability 

This chapter is all about teaching the students to find the probability of an occurrence of an event.

RD Sharma Solutions for Class 10 Maths Chapter 14: Co-ordinate Geometry 

This chapter discusses the concepts of rectangular coordinates, the distance between two points, sections formulae and its applications, collinearity of points and area of triangle and quadrilateral.

RD Sharma Solutions for Class 10 Maths Chapter 15: Areas Related to Circles 

In this chapter, the students will learn to find the area of circular regions, the sector and the segment of a circle.

RD Sharma Solutions for Class 10 Maths Chapter 16: Surface Areas and Volumes 

This chapter discusses the conversion of one of these solids into other and also the problems related to finding of the surface areas and volumes of a combination of two or more such solids.

Solved Questions from RD Sharma Solutions for Class 10 Maths

Question 1: The following equation is a quadratic equation.
x2+6x−4=0(state true or false)

A. True

B. False

Answer:

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.

⇒  The give equation is x2 +6x−4=0

⇒  Comparing the given equation with  the standard form of quadratic equation ax2+bx+c=0.

⇒  We get, a=1,b=6 and c=−4

∴  The given equation x2+6x−4=0 is quadratic equation is true.

 Question 2: Ten students of class X took part in Mathematics quiz. If the number of girls is 4 more than the number of boys. Represent this situation algebraically. 

Answer:

Formulation:

Let the number of girls is x and the number of boys is y. It is given that a total of ten students took part in the quiz.

∴ Number of girls + Number of boys =10
i.e., x+y=10

It is also given that the number of girls is 4 more than the number of boys.
∴ Number of girls = Number of boys +4
i.e., x=y+4
or, x−y=4

Algebraic Representation:

Thus, the algebraic representation of the given situation is
x+y=10       (i)
x−y=4         (ii)

Question 3: Write the first five terms of each of the following sequences whose nth terms are: an ​    = 3n +2

Answer:

The nth term of the sequence is

an  ​      = 3n+2……………….eq(1)

1)  for finding the first term of sequence (a1​)  put n=1 in eq(1)

a1​=3×1+2

⟹a1=3+2

⟹a1 =5

2) for finding the second term of sequence (a2​) put n=2 in eq(1)

a2 ​=3×2+2

⟹ a2  ​=6+2

⟹ a2 ​=8

3) for finding the third term of sequence (a3​) put n=3 in eq(1)

a3​=3×3+2

⟹ a3  ​=9+2

⟹ a3  ​=11

4) for finding the fourth term of sequence (a4​) put n=4 in eq(1)

a4 ​=3×4+2

⟹ a4 ​=12+2

⟹ a4 =14

5) for finding the fifth term of sequence (a5​) put n=5 in eq(1)

a5 ​=3×5+2

⟹ a5  ​=15+2

⟹ a5=17

Question 4: An unbiased die is thrown. What is the probability of getting an even number.

Answer:

exhaustive number of cases =6

including, 1,2,3,4,5,6

2,4,6 even numbers

probability of getting an even number = \(\frac {3}{}6}\)  = \(\frac{1}{2}\)  

FAQs related to RD Sharma Solutions for Class 10 Maths

Q.1. Is RD Sharma textbook a good option in class 10?

Ans. RD Sharma is a recommended reference book by the CBSE. RD Sharma class 10 solutions contain a lot of solved illustrations, pictorial representations, and also more than one method to solve the problems. It also teaches the students mathematical tricks that concepts which make the students solve the problems easily and accurately. It is a very good option for the practice questions.

Q.2. Is R S Agrawal better or RD Sharma?

Ans. RD Sharma explains the concepts in a better way. Also, it has a lot of practice questions of various types. Thus, it prepares the students to perform better in the examination.

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