# Chapter-wise RD Sharma Class 10 Solutions

## Class 10 Maths

Author: R D Sharma
Publisher: Dhanpat Rai Publications

Shaalaa provides solutions for RD Sharma Class 10 and has all the answers for the questions given in Class 10 Maths. Shaalaa is surely a site that most of your classmates are using to perform well in exams.

You can solve Class 10 Maths textbook questions and use Shaalaa RD Sharma Solutions for Class 10 Maths to verify your answers. ## Chapters covered in RD Sharma Solutions for Class 10 Maths

### RD Sharma Class 10 Mathematics Chapter 1: Real Numbers solutions

Shaalaa has a total of 166 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Real Numbers are Concept of Irrational Numbers, Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, Fundamental Theorem of Arithmetic Motivating Through Examples, Introduction of Real Numbers, Proofs of Irrationality, Real Numbers Examples and Solutions, Revisiting Rational Numbers and Their Decimal Expansions

#### RD Sharma Class 10 Mathematics Chapter 1: Real Numbers exercises

ExerciseNo. of questionsPages
Exercise 1.11110 to 11
Exercise 1.23427 to 28
Exercise 1.3935
Exercise 1.42339 to 40
Exercise 1.51749
Exercise 1.61556 to 57

### RD Sharma Class 10 Mathematics Chapter 2: Polynomials solutions

Shaalaa has a total of 129 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Polynomials are Concept of Polynomials, Division Algorithm for Polynomials, Geometrical Meaning of the Zeroes of a Polynomial, Relationship Between Zeroes and Coefficients of a Polynomial

#### RD Sharma Class 10 Mathematics Chapter 2: Polynomials exercises

ExerciseNo. of questionsPages
Exercise 2.13433 to 35
Exercise 21.00134
Exercise 2.2743
Exercise 2.31657 to 58

### RD Sharma Class 10 Mathematics Chapter 3: Pair of Linear Equations in Two Variables solutions

Shaalaa has a total of 224 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Pair of Linear Equations in Two Variables are Algebraic Conditions for Number of Solutions, Consistency of Pair of Linear Equations, Cramer'S Rule, Cross - Multiplication Method, Determinant of Order Two, Elimination Method, Equations Reducible to a Pair of Linear Equations in Two Variables, Graphical Method of Solution of a Pair of Linear Equations, Inconsistency of Pair of Linear Equations, Linear Equations in Two Variables, Linear Equations in Two Variables Applications, Pair of Linear Equations in Two Variables, Relation Between Co-efficient, Simple Situational Problems, Substitution Method

#### RD Sharma Class 10 Mathematics Chapter 3: Pair of Linear Equations in Two Variables exercises

ExerciseNo. of questionsPages
Exercise 3.1612
Exercise 3.25229 to 31
Exercise 3.34244 to 46
Exercise 3.42657 to 58
Exercise 3.53957 to 75
Exercise 3.61378 to 79
Exercise 3.71585 to 86
Exercise 3.81188 to 89
Exercise 3.9992

### RD Sharma Class 10 Mathematics Chapter 4: Quadratic Equations solutions

Shaalaa has a total of 328 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Quadratic Equations are Formula for Solving a Quadratic Equation, Nature of Roots, Quadratic Equations, Quadratic Equations Examples and Solutions, Relation Between Roots of the Equation and Coefficient of the Terms in the Equation Equations Reducible to Quadratic Form, Relationship Between Discriminant and Nature of Roots, Roots of a Quadratic Equation, Situational Problems Based on Quadratic Equations Related to Day to Day Activities to Be Incorporated, Solutions of Quadratic Equations by Completing the Square, Solutions of Quadratic Equations by Factorization

#### RD Sharma Class 10 Mathematics Chapter 4: Quadratic Equations exercises

ExerciseNo. of questionsPages
Exercise 3.4119
Exercise 4.1324 to 64
Exercise 4.268
Exercise 4.35719 to 21
Exercise 4.41026
Exercise 4.52332
Exercise 4.66541 to 52
Exercise 4.74151 to 70
Exercise 4.81658 to 59
Exercise 4.9761 to 62

### RD Sharma Class 10 Mathematics Chapter 5: Arithmetic Progression solutions

Shaalaa has a total of 304 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Arithmetic Progression are Application in Solving Daily Life Problems, Arithmetic Progression, Arithmetic Progression Examples and Solutions, Arithmetic Progressions Examples and Solutions, Concept of Arithmetic Mean, Concept of Ratio, Derivation of the n th Term, General Term of an Arithmetic Progression, General Term of an Geomatric Progression, Geometric Mean, Geometric Progression, Introduction to Sequence, nth Term of an AP, Sum of First n Terms of an AP, Sum of the First 'N' Terms of an Geometric Progression, Terms in a sequence

#### RD Sharma Class 10 Mathematics Chapter 5: Arithmetic Progression exercises

ExerciseNo. of questionsPages
Exercise 5.1185
Exercise 5.2118 to 9
Exercise 5.33111
Exercise 5.47024 to 26
Exercise 5.51130
Exercise 5.610430 to 55

### RD Sharma Class 10 Mathematics Chapter 6: Co-Ordinate Geometry solutions

Shaalaa has a total of 261 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Co-Ordinate Geometry are Area of a Triangle, Basic Geometric Constructions, Centroid Formula, Concepts of Coordinate Geometry, Coordinate Geometry Examples and Solutions, Co-ordinates of the Midpoint of a Segment, Distance Formula, Division of a Line Segment, General Equation of a Line, Graphs of Linear Equations, Intercepts Made by a Line, Section Formula, Slope of a Line, Standard Forms of Equation of a Line

#### RD Sharma Class 10 Mathematics Chapter 6: Co-Ordinate Geometry exercises

ExerciseNo. of questionsPages
Exercise 6.174
Exercise 6.25815 to 17
Exercise 6.36328 to 31
Exercise 6.41137
Exercise 6.53953 to 55
Exercise 8.00129

### RD Sharma Class 10 Mathematics Chapter 7: Triangles solutions

Shaalaa has a total of 258 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Triangles are Angle Bisector, Application of Pythagoras Theorem in Acute Angle and Obtuse Angle, Appolonius Theorem, Areas of Similar Triangles, Areas of Two Similar Triangles, Basic Proportionality Theorem Or Thales Theorem, Converse of Basic Proportionality Theorem, Criteria for Similarity of Triangles, Introduction to Similarity, Properties of Ratios of Areas of Two Triangles, Property of an Angle Bisector of a Triangle, Property of three parallel lines and their transversals, Pythagoras Theorem, Ratio of Sides of Triangle, Similar Figures, Similarity Examples and Solutions, Similarity of Triangles, Similarity Triangle Theorem, Similar Triangles, Triangles Examples and Solutions

#### RD Sharma Class 10 Mathematics Chapter 7: Triangles exercises

ExerciseNo. of questionsPages
Exercise 7.1122 to 3
Exercise 7.21919
Exercise 7.31831 to 32
Exercise 7.4337
Exercise 7.52273 to 76
Exercise 7.62894 to 96
Exercise 7.730119 to 121

### RD Sharma Class 10 Mathematics Chapter 8: Circles solutions

Shaalaa has a total of 71 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Circles are Angle Subtended by the Arc to the Centre, Angle Subtended by the Arc to the Point on the Circle, Circles passing through one, two, three points, Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior., Converse of Cyclic Quadrilateral Theorem, Converse of Tangent Theorem, Converse of Theorem of the Angle Between Tangent and Secant, Corollaries of Inscribed Angle Theorem, Corollary of Cyclic Quadrilateral Theorem, Cyclic Properties, Cyclic Quadrilateral, Inscribed Angle, Inscribed Angle Theorem, Intercepted Arc, Introduction to an Arc, Number of Tangents from a Point on a Circle, Number of Tangents from a Point to a Circle, Property of Sum of Measures of Arcs, Tangent Properties - If Two Circles Touch, the Point of Contact Lies on the Straight Line Joining Their Centers, Tangents and Its Properties, Tangent - Secant Theorem, Tangent Segment Theorem, Tangent to a Circle, Theorem - Converse of Tangent at Any Point to the Circle is Perpendicular to the Radius, Theorem of Angle Between Tangent and Secant, Theorem of Cyclic Quadrilateral, Theorem of External Division of Chords, Theorem of Internal Division of Chords, Touching Circles

#### RD Sharma Class 10 Mathematics Chapter 8: Circles exercises

ExerciseNo. of questionsPages
Exercise 8.185
Exercise 8.25333 to 42

### RD Sharma Class 10 Mathematics Chapter 9: Constructions solutions

Shaalaa has a total of 29 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Constructions are Basic Geometric Constructions, Construction of Tangents to a Circle, Construction of Tangent to the Circle from the Point on the Circle, Construction of Tangent Without Using Centre, Construction of Triangle If the Base, Angle Opposite to It and Either Median Altitude is Given, Constructions Examples and Solutions, Division of a Line Segment, To Construct Tangents to a Circle from a Point Outside the Circle.

#### RD Sharma Class 10 Mathematics Chapter 9: Constructions exercises

ExerciseNo. of questionsPages
Exercise 6.3130
Exercise 9.144
Exercise 9.2179 to 10
Exercise 9.3717 to 18

### RD Sharma Class 10 Mathematics Chapter 10: Trigonometric Ratios solutions

Shaalaa has a total of 203 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Trigonometric Ratios are Angles in Standard Position, Application of Trigonometry, Heights and Distances, Introduction to Trigonometry, Introduction to Trigonometry Examples and Solutions, Proof of Existence, Relationships Between the Ratios, Trigonometric Identities, Trigonometric Ratios, Trigonometric Ratios in Terms of Coordinates of Point, Trigonometric Ratios of an Acute Angle of a Right-angled Triangle, Trigonometric Ratios of Complementary Angles, Trigonometric Ratios of Some Specific Angles, Trigonometry Ratio of Zero Degree and Negative Angles

#### RD Sharma Class 10 Mathematics Chapter 10: Trigonometric Ratios exercises

ExerciseNo. of questionsPages
Exercise 10.15223 to 26
Exercise 10.24641 to 43
Exercise 10.35452 to 54

### RD Sharma Class 10 Mathematics Chapter 11: Trigonometric Identities solutions

Shaalaa has a total of 165 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Trigonometric Identities are Angles in Standard Position, Application of Trigonometry, Heights and Distances, Trigonometric Identities, Trigonometric Ratios in Terms of Coordinates of Point, Trigonometric Ratios of Complementary Angles, Trigonometry Ratio of Zero Degree and Negative Angles

#### RD Sharma Class 10 Mathematics Chapter 11: Trigonometric Identities exercises

ExerciseNo. of questionsPages
Exercise 11.19443 to 47
Exercise 11.21054

### RD Sharma Class 10 Mathematics Chapter 12: Trigonometry solutions

Shaalaa has a total of 110 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Trigonometry are Angles in Standard Position, Application of Trigonometry, Heights and Distances, Trigonometric Identities, Trigonometric Ratios in Terms of Coordinates of Point, Trigonometric Ratios of Complementary Angles, Trigonometry Ratio of Zero Degree and Negative Angles

#### RD Sharma Class 10 Mathematics Chapter 12: Trigonometry exercises

ExerciseNo. of questionsPages
Exercise 12.17129 to 35
Exercise 12.5135

### RD Sharma Class 10 Mathematics Chapter 13: Areas Related to Circles solutions

Shaalaa has a total of 199 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Areas Related to Circles are Angle Subtended by the Arc to the Centre, Angle Subtended by the Arc to the Point on the Circle, Area of Circle, Areas of Combinations of Plane Figures, Areas of Sector and Segment of a Circle, Circles passing through one, two, three points, Circumference of a Circle, Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior., Converse of Cyclic Quadrilateral Theorem, Converse of Tangent Theorem, Converse of Theorem of the Angle Between Tangent and Secant, Corollaries of Inscribed Angle Theorem, Corollary of Cyclic Quadrilateral Theorem, Cyclic Properties, Cyclic Quadrilateral, Inscribed Angle, Inscribed Angle Theorem, Intercepted Arc, Introduction to an Arc, Number of Tangents from a Point on a Circle, Number of Tangents from a Point to a Circle, Property of Sum of Measures of Arcs, Tangent Properties - If Two Circles Touch, the Point of Contact Lies on the Straight Line Joining Their Centers, Tangents and Its Properties, Tangent - Secant Theorem, Tangent Segment Theorem, Tangent to a Circle, Theorem - Converse of Tangent at Any Point to the Circle is Perpendicular to the Radius, Theorem of Angle Between Tangent and Secant, Theorem of Cyclic Quadrilateral, Theorem of External Division of Chords, Theorem of Internal Division of Chords, Touching Circles

#### RD Sharma Class 10 Mathematics Chapter 13: Areas Related to Circles exercises

ExerciseNo. of questionsPages
Exercise 13.13012 to 13
Exercise 13.23224 to 26
Exercise 13.3932 to 33
Exercise 13.45456 to 65

### RD Sharma Class 10 Mathematics Chapter 14: Surface Areas and Volumes solutions

Shaalaa has a total of 284 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Surface Areas and Volumes are Concept of Surface Area, Volume, and Capacity, Conversion of Solid from One Shape to Another, Frustum of a Cone, Surface Area of a Combination of Solids, Volume of a Combination of Solids

#### RD Sharma Class 10 Mathematics Chapter 14: Surface Areas and Volumes exercises

ExerciseNo. of questionsPages
Exercise 14.17027 to 32
Exercise 14.23860 to 63
Exercise 14.32578 to 80

### RD Sharma Class 10 Mathematics Chapter 15: Statistics solutions

Shaalaa has a total of 163 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Statistics are Applications of Ogives in Determination of Median, Concept of Pie Graph (Or a Circle-graph), Concepts of Statistics, Frequency Polygon, Graphical Representation of Cumulative Frequency Distribution, Graphical Representation of Data as Histograms, Inclusive and Exclusive Type of Tables, Introduction to Normal Distribution, Mean of Grouped Data, Median of Grouped Data, Mode of Grouped Data, Ogives (Cumulative Frequency Graphs), Properties of Normal Distribution, Relation Between Measures of Central Tendency, Tabulation of Data

#### RD Sharma Class 10 Mathematics Chapter 15: Statistics exercises

ExerciseNo. of questionsPages
Exercise 115.5146
Exercise 15.1155 to 6
Exercise 15.2913 to 14
Exercise 15.32922 to 25
Exercise 15.42234 to 36
Exercise 15.52245 to 48
Exercise 15.61062 to 64

### RD Sharma Class 10 Mathematics Chapter 16: Probability solutions

Shaalaa has a total of 286 questions with solutions for this chapter in Class 10 Maths. Concepts covered in Probability are Addition Theorem, Concept of Probability - Random Experiment, Outcome, Equally Likely Outcomes., Concept Or Properties of Probability, Equally Likely Outcomes, Probability - A Theoretical Approach, Probability of an Event, Random Experiments, Sample Space, Simple Problems on Single Events, Type of Event - Complementry, Type of Event - Elementry, Type of Event - Exclusive, Type of Event - Exhaustive

#### RD Sharma Class 10 Mathematics Chapter 16: Probability exercises

ExerciseNo. of questionsPages
Exercise 16.121920 to 26
Exercise 16.2725 to 33
Exercise 16.4124

## RD Sharma Solutions for Class 10 Maths

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