# RD Sharma Class 11th Solutions ## Mathematics Class 11

Author: r.d.sharma
Publisher: Dhanpat Rai Publications
Language: English

Shaalaa provides solutions for RD Sharma Class 11 and has all the answers for the questions given in Mathematics Class 11. Shaalaa is surely a site that most of your classmates are using to perform well in exams.

You can solve Mathematics Class 11 textbook questions and use Shaalaa RD Sharma Solutions for Class 11 Maths to verify your answers.

## Chapters covered in RD Sharma Solutions for Class 11 Mathematics Textbook

### RD Sharma Class 11 Mathematics Chapter 1: Sets solutions

Concepts covered in Sets are Complement of a Set, Difference of Sets, Element Count Set, Equal Sets, Finite and Infinite Sets, Intersection of Sets, Intrdouction of Operations on Sets, Open and Close Intervals, Operation on Set - Disjoint Sets, Power Set, Practical Problems on Union and Intersection of Two Sets, Proper and Improper Subset, Sets and Their Representations, Subsets, The Empty Set, Union Set, Universal Set, Venn Diagrams

#### RD Sharma Class 11 Mathematics Chapter 1: Sets exercises

ExerciseNo. of questionsPages
Exercise 1.1172
Exercise 1.2276 to 7
Exercise 1.3199 to 10
Exercise 1.46816 to 17
Exercise 1.53421
Exercise 1.62727
Exercise 1.71134 to 35
Exercise 1.81946 to 47
Exercise 1.91149

### RD Sharma Class 11 Mathematics Chapter 2: Relations solutions

Concepts covered in Relations are Algebra of Real Functions, Brief Review of Cartesian System of Rectanglar Co-ordinates, Cartesian Product of Sets, Concept of Functions, Equality of Ordered Pairs, Exponential Function, Graph of Function, Logarithmic Functions, Ordered Pairs, Pictorial Diagrams, Pictorial Representation of a Function, Relation, Some Functions and Their Graphs

#### RD Sharma Class 11 Mathematics Chapter 2: Relations exercises

ExerciseNo. of questionsPages
Exercise 2.1212 to 8
Exercise 2.21312
Exercise 2.33320 to 21

### RD Sharma Class 11 Mathematics Chapter 3: Functions solutions

Concepts covered in Functions are Algebra of Real Functions, Brief Review of Cartesian System of Rectanglar Co-ordinates, Cartesian Product of Sets, Concept of Functions, Equality of Ordered Pairs, Exponential Function, Graph of Function, Logarithmic Functions, Ordered Pairs, Pictorial Diagrams, Pictorial Representation of a Function, Relation, Some Functions and Their Graphs

#### RD Sharma Class 11 Mathematics Chapter 3: Functions exercises

ExerciseNo. of questionsPages
Exercise 3.1277 to 8
Exercise 3.21111 to 12
Exercise 3.31918
Exercise 3.42138
Exercise 3.51841 to 42

### RD Sharma Class 11 Mathematics Chapter 4: Measurement of Angles solutions

Concepts covered in Measurement of Angles are 180 Degree Plusminus X Function, 2X Function, 3X Function, 90 Degree Plusminus X Function, Concept of Angle, Conversion from One Measure to Another, Domain and Range of Trigonometric Functions, Expressing Sin (X±Y) and Cos (X±Y) in Terms of Sinx, Siny, Cosx and Cosy and Their Simple Applications, Graphs of Trigonometric Functions, Introduction of Trigonometric Functions, Negative Function Or Trigonometric Functions of Negative Angles, Signs of Trigonometric Functions, Sine and Cosine Formulae and Their Applications, Transformation Formulae, Trigonometric Equations, Trigonometric Functions of Sum and Difference of Two Angles, Truth of the Identity, Values of Trigonometric Functions at Multiples and Submultiples of an Angle

#### RD Sharma Class 11 Mathematics Chapter 4: Measurement of Angles exercises

ExerciseNo. of questionsPages
Exercise 4.13815 to 17

### RD Sharma Class 11 Mathematics Chapter 5: Trigonometric Functions solutions

Concepts covered in Trigonometric Functions are 180 Degree Plusminus X Function, 2X Function, 3X Function, 90 Degree Plusminus X Function, Concept of Angle, Conversion from One Measure to Another, Domain and Range of Trigonometric Functions, Expressing Sin (X±Y) and Cos (X±Y) in Terms of Sinx, Siny, Cosx and Cosy and Their Simple Applications, Graphs of Trigonometric Functions, Introduction of Trigonometric Functions, Negative Function Or Trigonometric Functions of Negative Angles, Signs of Trigonometric Functions, Sine and Cosine Formulae and Their Applications, Transformation Formulae, Trigonometric Equations, Trigonometric Functions of Sum and Difference of Two Angles, Truth of the Identity, Values of Trigonometric Functions at Multiples and Submultiples of an Angle

#### RD Sharma Class 11 Mathematics Chapter 5: Trigonometric Functions exercises

ExerciseNo. of questionsPages
Exercise 5.12818 to 19
Exercise 5.2825
Exercise 5.33939 to 40

### RD Sharma Class 11 Mathematics Chapter 6: Graphs of Trigonometric Functions solutions

Concepts covered in Graphs of Trigonometric Functions are 180 Degree Plusminus X Function, 2X Function, 3X Function, 90 Degree Plusminus X Function, Concept of Angle, Conversion from One Measure to Another, Domain and Range of Trigonometric Functions, Expressing Sin (X±Y) and Cos (X±Y) in Terms of Sinx, Siny, Cosx and Cosy and Their Simple Applications, Graphs of Trigonometric Functions, Introduction of Trigonometric Functions, Negative Function Or Trigonometric Functions of Negative Angles, Signs of Trigonometric Functions, Sine and Cosine Formulae and Their Applications, Transformation Formulae, Trigonometric Equations, Trigonometric Functions of Sum and Difference of Two Angles, Truth of the Identity, Values of Trigonometric Functions at Multiples and Submultiples of an Angle

#### RD Sharma Class 11 Mathematics Chapter 6: Graphs of Trigonometric Functions exercises

ExerciseNo. of questionsPages
Exercise 6.1125
Exercise 6.2128
Exercise 6.31013

### RD Sharma Class 11 Mathematics Chapter 7: Values of Trigonometric function at sum or difference of angles solutions

Concepts covered in Values of Trigonometric function at sum or difference of angles are 180 Degree Plusminus X Function, 2X Function, 3X Function, 90 Degree Plusminus X Function, Concept of Angle, Conversion from One Measure to Another, Domain and Range of Trigonometric Functions, Expressing Sin (X±Y) and Cos (X±Y) in Terms of Sinx, Siny, Cosx and Cosy and Their Simple Applications, Graphs of Trigonometric Functions, Introduction of Trigonometric Functions, Negative Function Or Trigonometric Functions of Negative Angles, Signs of Trigonometric Functions, Sine and Cosine Formulae and Their Applications, Transformation Formulae, Trigonometric Equations, Trigonometric Functions of Sum and Difference of Two Angles, Truth of the Identity, Values of Trigonometric Functions at Multiples and Submultiples of an Angle

#### RD Sharma Class 11 Mathematics Chapter 7: Values of Trigonometric function at sum or difference of angles exercises

ExerciseNo. of questionsPages
Exercise 7.16310 to 21
Exercise 7.2926

### RD Sharma Class 11 Mathematics Chapter 8: Transformation formulae solutions

Concepts covered in Transformation formulae are 180 Degree Plusminus X Function, 2X Function, 3X Function, 90 Degree Plusminus X Function, Concept of Angle, Conversion from One Measure to Another, Domain and Range of Trigonometric Functions, Expressing Sin (X±Y) and Cos (X±Y) in Terms of Sinx, Siny, Cosx and Cosy and Their Simple Applications, Graphs of Trigonometric Functions, Introduction of Trigonometric Functions, Negative Function Or Trigonometric Functions of Negative Angles, Signs of Trigonometric Functions, Sine and Cosine Formulae and Their Applications, Transformation Formulae, Trigonometric Equations, Trigonometric Functions of Sum and Difference of Two Angles, Truth of the Identity, Values of Trigonometric Functions at Multiples and Submultiples of an Angle

#### RD Sharma Class 11 Mathematics Chapter 8: Transformation formulae exercises

ExerciseNo. of questionsPages
Exercise 8.1226 to 7
Exercise 8.25917 to 19

### RD Sharma Class 11 Mathematics Chapter 9: Values of Trigonometric function at multiples and submultiples of an angle solutions

Concepts covered in Values of Trigonometric function at multiples and submultiples of an angle are 180 Degree Plusminus X Function, 2X Function, 3X Function, 90 Degree Plusminus X Function, Concept of Angle, Conversion from One Measure to Another, Domain and Range of Trigonometric Functions, Expressing Sin (X±Y) and Cos (X±Y) in Terms of Sinx, Siny, Cosx and Cosy and Their Simple Applications, Graphs of Trigonometric Functions, Introduction of Trigonometric Functions, Negative Function Or Trigonometric Functions of Negative Angles, Signs of Trigonometric Functions, Sine and Cosine Formulae and Their Applications, Transformation Formulae, Trigonometric Equations, Trigonometric Functions of Sum and Difference of Two Angles, Truth of the Identity, Values of Trigonometric Functions at Multiples and Submultiples of an Angle

#### RD Sharma Class 11 Mathematics Chapter 9: Values of Trigonometric function at multiples and submultiples of an angle exercises

ExerciseNo. of questionsPages
Exercise 9.15128 to 30
Exercise 9.21136 to 37
Exercise 9.3942

### RD Sharma Class 11 Mathematics Chapter 10: Sine and cosine formulae and their applications solutions

Concepts covered in Sine and cosine formulae and their applications are 180 Degree Plusminus X Function, 2X Function, 3X Function, 90 Degree Plusminus X Function, Concept of Angle, Conversion from One Measure to Another, Domain and Range of Trigonometric Functions, Expressing Sin (X±Y) and Cos (X±Y) in Terms of Sinx, Siny, Cosx and Cosy and Their Simple Applications, Graphs of Trigonometric Functions, Introduction of Trigonometric Functions, Negative Function Or Trigonometric Functions of Negative Angles, Signs of Trigonometric Functions, Sine and Cosine Formulae and Their Applications, Transformation Formulae, Trigonometric Equations, Trigonometric Functions of Sum and Difference of Two Angles, Truth of the Identity, Values of Trigonometric Functions at Multiples and Submultiples of an Angle

#### RD Sharma Class 11 Mathematics Chapter 10: Sine and cosine formulae and their applications exercises

ExerciseNo. of questionsPages
Exercise 10.13112 to 14
Exercise 10.21925 to 26

### RD Sharma Class 11 Mathematics Chapter 11: Trigonometric equations solutions

Concepts covered in Trigonometric equations are 180 Degree Plusminus X Function, 2X Function, 3X Function, 90 Degree Plusminus X Function, Concept of Angle, Conversion from One Measure to Another, Domain and Range of Trigonometric Functions, Expressing Sin (X±Y) and Cos (X±Y) in Terms of Sinx, Siny, Cosx and Cosy and Their Simple Applications, Graphs of Trigonometric Functions, Introduction of Trigonometric Functions, Negative Function Or Trigonometric Functions of Negative Angles, Signs of Trigonometric Functions, Sine and Cosine Formulae and Their Applications, Transformation Formulae, Trigonometric Equations, Trigonometric Functions of Sum and Difference of Two Angles, Truth of the Identity, Values of Trigonometric Functions at Multiples and Submultiples of an Angle

#### RD Sharma Class 11 Mathematics Chapter 11: Trigonometric equations exercises

ExerciseNo. of questionsPages
Exercise 11.15421 to 22

### RD Sharma Class 11 Mathematics Chapter 12: Mathematical Induction solutions

Concepts covered in Mathematical Induction are Motivation, Principle of Mathematical Induction

#### RD Sharma Class 11 Mathematics Chapter 12: Mathematical Induction exercises

ExerciseNo. of questionsPages
Exercise 12.173
Exercise 12.25027 to 29

### RD Sharma Class 11 Mathematics Chapter 13: Complex Numbers solutions

Concepts covered in Complex Numbers are Algebraic Properties of Complex Numbers, Algebra of Complex Numbers, Algebra of Complex Numbers - Equality, Argand Plane and Polar Representation, Concept of Complex Numbers, Need for Complex Numbers, Quadratic Equations, Square Root of a Complex Number, The Modulus and the Conjugate of a Complex Number

#### RD Sharma Class 11 Mathematics Chapter 13: Complex Numbers exercises

ExerciseNo. of questionsPages
Exercise 13.1163 to 13
Exercise 13.25331 to 33
Exercise 13.3939
Exercise 13.41657 to 58

### RD Sharma Class 11 Mathematics Chapter 14: Quadratic Equations solutions

Concepts covered in Quadratic Equations are Algebraic Properties of Complex Numbers, Algebra of Complex Numbers, Algebra of Complex Numbers - Equality, Argand Plane and Polar Representation, Concept of Complex Numbers, Need for Complex Numbers, Quadratic Equations, Square Root of a Complex Number, The Modulus and the Conjugate of a Complex Number

#### RD Sharma Class 11 Mathematics Chapter 14: Quadratic Equations exercises

ExerciseNo. of questionsPages
Exercise 14.1275 to 6
Exercise 14.21613

### RD Sharma Class 11 Mathematics Chapter 15: Linear Inequations solutions

Concepts covered in Linear Inequations are Algebraic Solutions of Linear Inequalities in One Variable and Their Graphical Representation, Graphical Solution of Linear Inequalities in Two Variables, Inequalities - Introduction, Solution of System of Linear Inequalities in Two Variables

#### RD Sharma Class 11 Mathematics Chapter 15: Linear Inequations exercises

ExerciseNo. of questionsPages
Exercise 15.13410
Exercise 15.22110 to 16
Exercise 15.31322
Exercise 15.41224 to 25
Exercise 15.51028
Exercise 15.61630 to 31

### RD Sharma Class 11 Mathematics Chapter 16: Permutations solutions

Concepts covered in Permutations are Combination, Derivation of Formulae and Their Connections, Factorial N (N!) Permutations and Combinations, Fundamental Principles of Counting, Introduction of Permutations and Combinations, Permutation Formula to Rescue and Type of Permutation, Permutations, Simple Applications of Permutations and Combinations, Smaller Set from Bigger Set

#### RD Sharma Class 11 Mathematics Chapter 16: Permutations exercises

ExerciseNo. of questionsPages
Exercise 16.1214 to 5
Exercise 16.24914 to 16
Exercise 16.33528 to 29
Exercise 16.42336 to 37
Exercise 16.53742 to 44

### RD Sharma Class 11 Mathematics Chapter 17: Combinations solutions

Concepts covered in Combinations are Combination, Derivation of Formulae and Their Connections, Factorial N (N!) Permutations and Combinations, Fundamental Principles of Counting, Introduction of Permutations and Combinations, Permutation Formula to Rescue and Type of Permutation, Permutations, Simple Applications of Permutations and Combinations, Smaller Set from Bigger Set

#### RD Sharma Class 11 Mathematics Chapter 17: Combinations exercises

ExerciseNo. of questionsPages
Exercise 17.1278 to 9
Exercise 17.24615 to 17
Exercise 17.31423

### RD Sharma Class 11 Mathematics Chapter 18: Binomial Theorem solutions

Concepts covered in Binomial Theorem are Binomial Theorem for Positive Integral Indices, General and Middle Terms, Introduction of Binomial Theorem, Proof of Binomial Therom by Combination, Proof of Binomial Therom by Pattern, Rth Term from End, Simple Applications of Binomial Theorem

#### RD Sharma Class 11 Mathematics Chapter 18: Binomial Theorem exercises

ExerciseNo. of questionsPages
Exercise 18.13311 to 12
Exercise 18.26937 to 40

### RD Sharma Class 11 Mathematics Chapter 19: Arithmetic Progression solutions

Concepts covered in Arithmetic Progression are Arithmetic Progression (A.P.), Concept of Sequences, Concept of Series, Geometric Progression (G. P.), Introduction of Sequence and Series, Relationship Between A.M. and G.M., Sum to N Terms of Special Series

#### RD Sharma Class 11 Mathematics Chapter 19: Arithmetic Progression exercises

ExerciseNo. of questionsPages
Exercise 19.1134
Exercise 19.24011 to 15
Exercise 19.44330 to 31
Exercise 19.51342
Exercise 19.61146 to 47
Exercise 19.71749 to 50
Exercise 5.6154

### RD Sharma Class 11 Mathematics Chapter 20: Geometric Progression solutions

Concepts covered in Geometric Progression are Arithmetic Progression (A.P.), Concept of Sequences, Concept of Series, Geometric Progression (G. P.), Introduction of Sequence and Series, Relationship Between A.M. and G.M., Sum to N Terms of Special Series

#### RD Sharma Class 11 Mathematics Chapter 20: Geometric Progression exercises

ExerciseNo. of questionsPages
Exercise 20.1289 to 10
Exercise 20.2916
Exercise 20.34027 to 29
Exercise 20.42039 to 40
Exercise 20.53445 to 46
Exercise 20.61554 to 55

### RD Sharma Class 11 Mathematics Chapter 21: Some special series solutions

Concepts covered in Some special series are Arithmetic Progression (A.P.), Concept of Sequences, Concept of Series, Geometric Progression (G. P.), Introduction of Sequence and Series, Relationship Between A.M. and G.M., Sum to N Terms of Special Series

#### RD Sharma Class 11 Mathematics Chapter 21: Some special series exercises

ExerciseNo. of questionsPages
Exercise 21.11310
Exercise 21.21018

### RD Sharma Class 11 Mathematics Chapter 22: Brief review of cartesian system of rectangular co-ordinates solutions

Concepts covered in Brief review of cartesian system of rectangular co-ordinates are Algebra of Real Functions, Brief Review of Cartesian System of Rectanglar Co-ordinates, Cartesian Product of Sets, Concept of Functions, Equality of Ordered Pairs, Exponential Function, Graph of Function, Logarithmic Functions, Ordered Pairs, Pictorial Diagrams, Pictorial Representation of a Function, Relation, Some Functions and Their Graphs

#### RD Sharma Class 11 Mathematics Chapter 22: Brief review of cartesian system of rectangular co-ordinates exercises

ExerciseNo. of questionsPages
Exercise 22.1812 to 13
Exercise 22.21218
Exercise 22.31621

### RD Sharma Class 11 Mathematics Chapter 23: The straight lines solutions

Concepts covered in The straight lines are Brief Recall of Two Dimensional Geometry from Earlier Classes, Distance of a Point from a Line, Equation of Family of Lines Passing Through the Point of Intersection of Two Lines, General Equation of a Line, Shifting of Origin, Slope of a Line, Various Forms of the Equation of a Line

#### RD Sharma Class 11 Mathematics Chapter 23: The straight lines exercises

ExerciseNo. of questionsPages
Exercise 23.15612 to 78
Exercise 23.111083
Exercise 23.122692 to 93
Exercise 23.131499
Exercise 23.143102
Exercise 23.1515107 to 108
Exercise 23.169114
Exercise 23.173117
Exercise 23.1813124 to 125
Exercise 23.197131
Exercise 23.2717
Exercise 23.31021
Exercise 23.41529
Exercise 23.52135 to 36
Exercise 23.61946 to 47
Exercise 23.71353 to 54
Exercise 23.81365 to 66
Exercise 23.91472

### RD Sharma Class 11 Mathematics Chapter 24: The circle solutions

Concepts covered in The circle are Concept of Circle, Eccentricity, Introduction of Ellipse, Introduction of Hyperbola, Introduction of Parabola, Latus Rectum, Relationship Between Semi-major Axis, Semi-minor Axis and the Distance of the Focus from the Centre of the Ellipse, Sections of a Cone, Special Cases of an Ellipse, Standard Equation of a Circle, Standard Equation of Hyperbola, Standard Equations of an Ellipse, Standard Equations of Parabola

#### RD Sharma Class 11 Mathematics Chapter 24: The circle exercises

ExerciseNo. of questionsPages
Exercise 24.13121 to 22
Exercise 24.22331 to 32
Exercise 24.31237 to 38

### RD Sharma Class 11 Mathematics Chapter 25: Parabola solutions

Concepts covered in Parabola are Concept of Circle, Eccentricity, Introduction of Ellipse, Introduction of Hyperbola, Introduction of Parabola, Latus Rectum, Relationship Between Semi-major Axis, Semi-minor Axis and the Distance of the Focus from the Centre of the Ellipse, Sections of a Cone, Special Cases of an Ellipse, Standard Equation of a Circle, Standard Equation of Hyperbola, Standard Equations of an Ellipse, Standard Equations of Parabola

#### RD Sharma Class 11 Mathematics Chapter 25: Parabola exercises

ExerciseNo. of questionsPages
Exercise 25.13224 to 25
Exercise 25.21128

### RD Sharma Class 11 Mathematics Chapter 26: Ellipse solutions

Concepts covered in Ellipse are Concept of Circle, Eccentricity, Introduction of Ellipse, Introduction of Hyperbola, Introduction of Parabola, Latus Rectum, Relationship Between Semi-major Axis, Semi-minor Axis and the Distance of the Focus from the Centre of the Ellipse, Sections of a Cone, Special Cases of an Ellipse, Standard Equation of a Circle, Standard Equation of Hyperbola, Standard Equations of an Ellipse, Standard Equations of Parabola

#### RD Sharma Class 11 Mathematics Chapter 26: Ellipse exercises

ExerciseNo. of questionsPages
Exercise 26.14422 to 23

### RD Sharma Class 11 Mathematics Chapter 27: Hyperbola solutions

Concepts covered in Hyperbola are Concept of Circle, Eccentricity, Introduction of Ellipse, Introduction of Hyperbola, Introduction of Parabola, Latus Rectum, Relationship Between Semi-major Axis, Semi-minor Axis and the Distance of the Focus from the Centre of the Ellipse, Sections of a Cone, Special Cases of an Ellipse, Standard Equation of a Circle, Standard Equation of Hyperbola, Standard Equations of an Ellipse, Standard Equations of Parabola

#### RD Sharma Class 11 Mathematics Chapter 27: Hyperbola exercises

ExerciseNo. of questionsPages
Exercise 27.14113 to 14

### RD Sharma Class 11 Mathematics Chapter 28: Introduction to three dimensional coordinate geometry solutions

Concepts covered in Introduction to three dimensional coordinate geometry are Coordinate Axes and Coordinate planes, Coordinates of a Point in Space, Distance Between Two Points, Section Formula, Three Dimessional Space

#### RD Sharma Class 11 Mathematics Chapter 28: Introduction to three dimensional coordinate geometry exercises

ExerciseNo. of questionsPages
Exercise 15.116
Exercise 28.1176 to 7
Exercise 28.2339 to 10
Exercise 28.31619 to 20

### RD Sharma Class 11 Mathematics Chapter 29: Limits solutions

Concepts covered in Limits are Algebra of Derivative of Functions, Algebra of Limits, Derivative Introduced as Rate of Change Both as that of Distance Function and Geometrically, Derivative of Polynomials and Trigonometric Functions, Derivative of Slope of Tangent of the Curve, Derive Derivation of x^n, Graphical Interpretation of Derivative, Introduction of Derivatives, Introduction of Limits, Introduction to Calculus, Intuitive Idea of Derivatives, Limits of Exponential Functions, Limits of Logarithmic Functions, Limits of Polynomials and Rational Functions, Limits of Trigonometric Functions, Theorem for Any Positive Integer n

#### RD Sharma Class 11 Mathematics Chapter 29: Limits exercises

ExerciseNo. of questionsPages
Exercise 29.17911 to 72
Exercise 29.111076 to 77
Exercise 29.21418
Exercise 29.33423 to 24
Exercise 29.43428 to 30
Exercise 29.51633
Exercise 29.62638 to 39
Exercise 29.76349 to 51
Exercise 29.83862 to 63
Exercise 29.9665

### RD Sharma Class 11 Mathematics Chapter 30: Derivatives solutions

Concepts covered in Derivatives are Algebra of Derivative of Functions, Algebra of Limits, Derivative Introduced as Rate of Change Both as that of Distance Function and Geometrically, Derivative of Polynomials and Trigonometric Functions, Derivative of Slope of Tangent of the Curve, Derive Derivation of x^n, Graphical Interpretation of Derivative, Introduction of Derivatives, Introduction of Limits, Introduction to Calculus, Intuitive Idea of Derivatives, Limits of Exponential Functions, Limits of Logarithmic Functions, Limits of Polynomials and Rational Functions, Limits of Trigonometric Functions, Theorem for Any Positive Integer n

#### RD Sharma Class 11 Mathematics Chapter 30: Derivatives exercises

ExerciseNo. of questionsPages
Exercise 30.1103
Exercise 30.24625 to 26
Exercise 30.32533 to 34
Exercise 30.43039
Exercise 30.53044

### RD Sharma Class 11 Mathematics Chapter 31: Mathematical reasoning solutions

Concepts covered in Mathematical reasoning are Consolidating the Understanding, Contrapositive and Converse, Difference Between Contradiction, Converse and Contrapositive, Introduction of Validating Statements, Mathematically Acceptable Statements, New Statements from Old, Special Words Or Phrases, Validation by Contradiction

#### RD Sharma Class 11 Mathematics Chapter 31: Mathematical reasoning exercises

ExerciseNo. of questionsPages
Exercise 31.1173
Exercise 31.2176 to 7
Exercise 31.31714
Exercise 31.4416
Exercise 31.52821
Exercise 31.61528 to 29

### RD Sharma Class 11 Mathematics Chapter 32: Statistics solutions

Concepts covered in Statistics are Central Tendency - Mean, Central Tendency - Median, Comparison of Two Frequency Distributions with Same Mean, Concept of Mode, Concept of Range, Introduction of Analysis of Frequency Distributions, Introduction of Variance and Standard Deviation, Mean Deviation, Measures of Dispersion, Measures of Dispersion - Quartile Deviation, Shortcut Method to Find Variance and Standard Deviation, Standard Deviation, Standard Deviation - by Short Cut Method, Standard Deviation of a Continuous Frequency Distribution, Standard Deviation of a Discrete Frequency Distribution, Statistics Concept

#### RD Sharma Class 11 Mathematics Chapter 32: Statistics exercises

ExerciseNo. of questionsPages
Exercise 32.1156
Exercise 32.21011
Exercise 32.31016 to 17
Exercise 32.41428
Exercise 32.5437 to 38
Exercise 32.61041 to 42
Exercise 32.71247 to 49

### RD Sharma Class 11 Mathematics Chapter 33: Probability solutions

Concepts covered in Probability are Algebra of Events, Axiomatic Approach to Probability, Exhaustive Events, Introduction of Event, Mutually Exclusive Events, Occurrence of an Event, Probability of 'Not', 'And' and 'Or' Events, Random Experiments, Types of Events

#### RD Sharma Class 11 Mathematics Chapter 33: Probability exercises

ExerciseNo. of questionsPages
Exercise 33.1256 to 7
Exercise 33.22115 to 16
Exercise 33.310845 to 48
Exercise 33.44467 to 69

## RD Sharma Solutions for Class 11 Mathematics Textbook

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Our RD Sharma solutions for Class 11 Mathematics Textbook cover everything from Sets, Relations, Functions, Measurement of Angles, Trigonometric Functions, Graphs of Trigonometric Functions, Values of Trigonometric function at sum or difference of angles, Transformation formulae, Values of Trigonometric function at multiples and submultiples of an angle, Sine and cosine formulae and their applications, Trigonometric equations, Mathematical Induction, Complex Numbers, Quadratic Equations, Linear Inequations, Permutations, Combinations, Binomial Theorem, Arithmetic Progression, Geometric Progression, Some special series, Brief review of cartesian system of rectangular co-ordinates, The straight lines, The circle, Parabola, Ellipse, Hyperbola, Introduction to three dimensional coordinate geometry, Limits, Derivatives, Mathematical reasoning, Statistics, Probability and the other topics. Yes, these are the best RD Sharma 12 Maths solution options on the market. You get to fully prepare for the exam in a reliable and comprehensive manner. You just have to check it out for yourself and the experience can be really impressive.

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