CBSE, Karnataka Board PUC Class 11 Maths Solutions Guide
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CBSE, Karnataka Board PUC Class 11 Maths Textbook Solutions
Questions and answers for the Class 11 Maths Textbook are on this page. RD Sharma Solutions for Class 11 Maths Digest CBSE, Karnataka Board PUC will help students understand the concepts better.
RD Sharma Solutions for Class 11 Maths Chapterwise List | Class 11 Maths Digest
The answers to the RD Sharma books are the best study material for students. Listed below are the chapter-wise RD Sharma Maths Class 11 Solutions CBSE, Karnataka Board PUC.
- • 1: Sets
- • 2: Relations
- • 3: Functions
- • 4: Measurement of Angles
- • 5: Trigonometric Functions
- • 6: Graphs of Trigonometric Functions
- • 7: Values of Trigonometric function at sum or difference of angles
- • 8: Transformation formulae
- • 9: Values of Trigonometric function at multiples and submultiples of an angle
- • 10: Sine and cosine formulae and their applications
- • 11: Trigonometric equations
- • 12: Mathematical Induction
- • 13: Complex Numbers
- • 14: Quadratic Equations
- • 15: Linear Inequations
- • 16: Permutations
- • 17: Combinations
- • 18: Binomial Theorem
- • 19: Arithmetic Progression
- • 20: Geometric Progression
- • 21: Some special series
- • 22: Brief review of cartesian system of rectangular co-ordinates
- • 23: The straight lines
- • 24: The circle
- • 25: Parabola
- • 26: Ellipse
- • 27: Hyperbola
- • 28: Introduction to three dimensional coordinate geometry
- • 29: Limits
- • 30: Derivatives
- • 31: Mathematical reasoning
- • 32: Statistics
- • 33: Probability
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Chapters covered in RD Sharma Solutions for Mathematics [English] Class 11
RD Sharma Solutions for Class 11 Mathematics (11th) 1: Sets
Concepts covered in Sets are Complement of a Set, Difference of Sets, Disjoint Sets, Element Count Set, Empty Set (Null or Void Set), Equal Sets, Finite and Infinite Sets, Intersection of Sets, Intrdouction of Operations on Sets, Open and Close Intervals, Power Set, Practical Problems on Union and Intersection of Two Sets, Proper and Improper Subset, Sets and Their Representations, Subsets, Union of Sets, Universal Set, Venn Diagrams.
RD Sharma Class 11 Mathematics (11th) 1: Sets exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 1.01 | 17 | 2 |
| Exercise 1.02 | 27 | 6 to 7 |
| Exercise 1.03 | 19 | 9 to 10 |
| Exercise 1.04 | 68 | 16 to 17 |
| Exercise 1.05 | 34 | 21 |
| Exercise 1.06 | 27 | 27 |
| Exercise 1.07 | 11 | 34 to 35 |
| Exercise 1.08 | 19 | 46 to 47 |
| Exercise 1.09 | 11 | 49 |
| Exercise 1.10 | 30 | 49 to 51 |
RD Sharma Solutions for Class 11 Mathematics (11th) 2: Relations
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, Concept of Relation, Equality of Ordered Pairs, Exponential Function, Graph of Function, Logarithmic Functions, Ordered Pairs, Pictorial Diagrams, Pictorial Representation of a Function, Some Functions and Their Graphs.
RD Sharma Class 11 Mathematics (11th) 2: Relations exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 2.1 | 21 | 2 to 8 |
| Exercise 2.2 | 13 | 12 |
| Exercise 2.3 | 33 | 20 to 21 |
| Exercise 2.4 | 12 | 24 to 25 |
| Exercise 2.5 | 13 | 25 to 26 |
RD Sharma Solutions for Class 11 Mathematics (11th) 3: Functions
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, Concept of Relation, Equality of Ordered Pairs, Exponential Function, Graph of Function, Logarithmic Functions, Ordered Pairs, Pictorial Diagrams, Pictorial Representation of a Function, Some Functions and Their Graphs.
RD Sharma Class 11 Mathematics (11th) 3: Functions exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 3.1 | 27 | 7 to 8 |
| Exercise 3.2 | 11 | 11 to 12 |
| Exercise 3.3 | 19 | 18 |
| Exercise 3.4 | 21 | 38 |
| Exercise 3.5 | 18 | 41 to 42 |
| Exercise 3.6 | 45 | 42 to 45 |
RD Sharma Solutions for Class 11 Mathematics (11th) 4: Measurement of Angles
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, 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 (11th) 4: Measurement of Angles exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 4.1 | 38 | 15 to 17 |
| Exercise 4.2 | 7 | 17 |
RD Sharma Solutions for Class 11 Mathematics (11th) 5: Trigonometric Functions
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, 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 (11th) 5: Trigonometric Functions exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 5.1 | 28 | 18 to 19 |
| Exercise 5.2 | 8 | 25 |
| Exercise 5.3 | 39 | 39 to 40 |
| Exercise 5.4 | 17 | 40 to 41 |
| Exercise 5.5 | 28 | 41 to 43 |
RD Sharma Solutions for Class 11 Mathematics (11th) 6: Graphs of Trigonometric Functions
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, 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 (11th) 6: Graphs of Trigonometric Functions exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 6.1 | 12 | 5 |
| Exercise 6.2 | 12 | 8 |
| Exercise 6.3 | 10 | 13 |
RD Sharma Solutions for Class 11 Mathematics (11th) 7: Values of Trigonometric function at sum or difference of angles
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, 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 (11th) 7: Values of Trigonometric function at sum or difference of angles exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 7.1 | 63 | 10 to 21 |
| Exercise 7.2 | 9 | 26 |
| Exercise 7.3 | 12 | 26 to 27 |
| Exercise 7.4 | 23 | 27 to 29 |
RD Sharma Solutions for Class 11 Mathematics (11th) 8: Transformation formulae
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, 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 (11th) 8: Transformation formulae exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 8.1 | 22 | 6 to 7 |
| Exercise 8.2 | 59 | 17 to 19 |
| Exercise 8.3 | 10 | 20 to 21 |
| Exercise 8.4 | 14 | 21 to 22 |
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RD Sharma Solutions for Class 11 Mathematics (11th) 9: Values of Trigonometric function at multiples and submultiples of an angle
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, 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 (11th) 9: Values of Trigonometric function at multiples and submultiples of an angle exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 9.1 | 51 | 28 to 30 |
| Exercise 9.2 | 11 | 36 to 37 |
| Exercise 9.3 | 9 | 42 |
| Exercise 9.4 | 13 | 42 |
| Exercise 9.5 | 38 | 43 to 45 |
RD Sharma Solutions for Class 11 Mathematics (11th) 10: Sine and cosine formulae and their applications
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, 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 (11th) 10: Sine and cosine formulae and their applications exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 10.1 | 31 | 12 to 14 |
| Exercise 10.2 | 19 | 25 to 26 |
| Exercise 10.3 | 10 | 26 |
| Exercise 10.4 | 8 | 26 to 27 |
RD Sharma Solutions for Class 11 Mathematics (11th) 11: Trigonometric equations
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, 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 (11th) 11: Trigonometric equations exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 11.1 | 54 | 21 to 22 |
| Exercise 11.2 | 12 | 26 |
| Exercise 11.3 | 21 | 26 to 28 |
RD Sharma Solutions for Class 11 Mathematics (11th) 12: Mathematical Induction
Concepts covered in Mathematical Induction are Motivation, Principle of Mathematical Induction.
RD Sharma Class 11 Mathematics (11th) 12: Mathematical Induction exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 12.1 | 7 | 3 |
| Exercise 12.2 | 50 | 27 to 29 |
RD Sharma Solutions for Class 11 Mathematics (11th) 13: Complex Numbers
Concepts covered in Complex Numbers are Algebraic Operations of Complex Numbers, Algebraic Properties 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 (11th) 13: Complex Numbers exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 13.1 | 16 | 3 to 13 |
| Exercise 13.2 | 53 | 31 to 33 |
| Exercise 13.3 | 9 | 39 |
| Exercise 13.4 | 16 | 57 to 58 |
| Exercise 13.5 | 24 | 62 to 63 |
| Exercise 13.6 | 43 | 63 to 66 |
RD Sharma Solutions for Class 11 Mathematics (11th) 14: Quadratic Equations
Concepts covered in Quadratic Equations are Algebraic Operations of Complex Numbers, Algebraic Properties 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 (11th) 14: Quadratic Equations exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 14.1 | 27 | 5 to 6 |
| Exercise 14.2 | 16 | 13 |
| Exercise 14.3 | 10 | 15 to 16 |
| Exercise 14.4 | 25 | 16 to 18 |
RD Sharma Solutions for Class 11 Mathematics (11th) 15: Linear Inequations
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 (11th) 15: Linear Inequations exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 15.1 | 34 | 10 |
| Exercise 15.2 | 21 | 10 to 16 |
| Exercise 15.3 | 13 | 22 |
| Exercise 15.4 | 12 | 24 to 25 |
| Exercise 15.5 | 10 | 28 |
| Exercise 15.6 | 16 | 30 to 31 |
| Exercise 15.7 | 11 | 31 to 32 |
| Exercise 15.8 | 11 | 32 |
RD Sharma Solutions for Class 11 Mathematics (11th) 16: Permutations
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 (11th) 16: Permutations exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 16.1 | 21 | 4 to 5 |
| Exercise 16.2 | 49 | 14 to 16 |
| Exercise 16.3 | 35 | 28 to 29 |
| Exercise 16.4 | 23 | 36 to 37 |
| Exercise 16.5 | 37 | 42 to 44 |
| Exercise 16.6 | 12 | 45 |
| Exercise 16.7 | 22 | 46 to 47 |
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RD Sharma Solutions for Class 11 Mathematics (11th) 17: Combinations
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 (11th) 17: Combinations exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 17.1 | 27 | 8 to 9 |
| Exercise 17.2 | 46 | 15 to 17 |
| Exercise 17.3 | 14 | 23 |
| Exercise 17.4 | 11 | 24 |
| Exercise 17.5 | 27 | 25 to 26 |
RD Sharma Solutions for Class 11 Mathematics (11th) 18: Binomial Theorem
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 (11th) 18: Binomial Theorem exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 18.1 | 33 | 11 to 12 |
| Exercise 18.2 | 69 | 37 to 40 |
| Exercise 18.3 | 18 | 45 to 46 |
| Exercise 18.4 | 33 | 46 to 48 |
RD Sharma Solutions for Class 11 Mathematics (11th) 19: Arithmetic Progression
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 (11th) 19: Arithmetic Progression exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 19.1 | 13 | 4 |
| Exercise 19.2 | 34 | 11 to 12 |
| Exercise 19.2 | 6 | 15 |
| Exercise 19.4 | 43 | 30 to 31 |
| Exercise 19.5 | 13 | 42 |
| Exercise 19.6 | 12 | 46 to 54 |
| Exercise 19.7 | 17 | 49 to 50 |
| Exercise 19.8 | 11 | 50 to 51 |
| Exercise 19.9 | 24 | 51 to 53 |
RD Sharma Solutions for Class 11 Mathematics (11th) 20: Geometric Progression
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 (11th) 20: Geometric Progression exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 20.1 | 28 | 9 to 10 |
| Exercise 20.2 | 9 | 16 |
| Exercise 20.3 | 40 | 27 to 29 |
| Exercise 20.4 | 20 | 39 to 40 |
| Exercise 20.5 | 34 | 45 to 46 |
| Exercise 20.6 | 15 | 54 to 55 |
| Exercise 20.7 | 10 | 56 |
| Exercise 20.8 | 25 | 57 to 58 |
RD Sharma Solutions for Class 11 Mathematics (11th) 21: Some special series
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 (11th) 21: Some special series exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 21.1 | 13 | 10 |
| Exercise 21.2 | 10 | 18 |
| Exercise 21.3 | 8 | 18 to 19 |
| Exercise 21.4 | 10 | 19 to 20 |
RD Sharma Solutions for Class 11 Mathematics (11th) 22: Brief review of cartesian system of rectangular co-ordinates
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, Concept of Relation, Equality of Ordered Pairs, Exponential Function, Graph of Function, Logarithmic Functions, Ordered Pairs, Pictorial Diagrams, Pictorial Representation of a Function, Some Functions and Their Graphs.
RD Sharma Class 11 Mathematics (11th) 22: Brief review of cartesian system of rectangular co-ordinates exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 22.1 | 8 | 12 to 13 |
| Exercise 22.2 | 12 | 18 |
| Exercise 22.3 | 16 | 21 |
| Exercise 22.4 | 10 | 21 to 22 |
RD Sharma Solutions for Class 11 Mathematics (11th) 23: The straight lines
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 (11th) 23: The straight lines exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 23.1 | 32 | 12 to 14 |
| Exercise 23.2 | 7 | 17 |
| Exercise 23.3 | 10 | 21 |
| Exercise 23.4 | 15 | 29 |
| Exercise 23.5 | 21 | 35 to 36 |
| Exercise 23.6 | 19 | 46 to 47 |
| Exercise 23.7 | 13 | 53 to 54 |
| Exercise 23.8 | 13 | 65 to 66 |
| Exercise 23.9 | 14 | 72 |
| Exercise 23.1 | 24 | 77 to 78 |
| Exercise 23.11 | 10 | 83 |
| Exercise 23.12 | 26 | 92 to 93 |
| Exercise 23.13 | 14 | 99 |
| Exercise 23.14 | 3 | 102 |
| Exercise 23.15 | 15 | 107 to 108 |
| Exercise 23.16 | 9 | 114 |
| Exercise 23.17 | 3 | 117 |
| Exercise 23.18 | 13 | 124 to 125 |
| Exercise 23.19 | 7 | 131 |
| Exercise 23.20 | 18 | 131 to 132 |
| Exercise 23.21 | 35 | 133 to 135 |
RD Sharma Solutions for Class 11 Mathematics (11th) 24: The circle
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 (11th) 24: The circle exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 24.1 | 31 | 21 to 22 |
| Exercise 24.2 | 23 | 31 to 32 |
| Exercise 24.3 | 12 | 37 to 38 |
| Exercise 24.4 | 6 | 38 |
| Exercise 24.5 | 3 | 38 |
| Exercise 24.6 | 25 | 39 to 40 |
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RD Sharma Solutions for Class 11 Mathematics (11th) 25: Parabola
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 (11th) 25: Parabola exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 25.1 | 32 | 24 to 25 |
| Exercise 25.2 | 11 | 28 |
| Exercise 25.3 | 22 | 28 to 30 |
RD Sharma Solutions for Class 11 Mathematics (11th) 26: Ellipse
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 (11th) 26: Ellipse exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 26.1 | 44 | 22 to 23 |
| Exercise 26.2 | 9 | 27 |
| Exercise 26.3 | 24 | 27 to 29 |
RD Sharma Solutions for Class 11 Mathematics (11th) 27: Hyperbola
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 (11th) 27: Hyperbola exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 27.1 | 41 | 13 to 14 |
| Exercise 27.2 | 10 | 18 |
| Exercise 27.3 | 20 | 18 to 20 |
RD Sharma Solutions for Class 11 Mathematics (11th) 28: Introduction to three dimensional coordinate geometry
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 (11th) 28: Introduction to three dimensional coordinate geometry exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 15.1 | 18 | 6 to 7 |
| Exercise 28.2 | 33 | 9 to 10 |
| Exercise 28.3 | 16 | 19 to 20 |
| Exercise 28.4 | 16 | 22 |
| Exercise 28.5 | 15 | 22 to 23 |
RD Sharma Solutions for Class 11 Mathematics (11th) 29: Limits
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 (11th) 29: Limits exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 29.1 | 36 | 11 to 23 |
| Exercise 29.2 | 14 | 18 |
| Exercise 29.3 | 34 | 23 to 24 |
| Exercise 29.4 | 34 | 28 to 30 |
| Exercise 29.5 | 16 | 33 |
| Exercise 29.6 | 26 | 38 to 39 |
| Exercise 29.7 | 63 | 49 to 51 |
| Exercise 29.8 | 38 | 62 to 63 |
| Exercise 29.9 | 6 | 65 |
| Exercise 29.1 | 43 | 71 to 72 |
| Exercise 29.11 | 10 | 76 to 77 |
| Exercise 29.12 | 15 | 77 |
| Exercise 29.13 | 42 | 77 to 81 |
RD Sharma Solutions for Class 11 Mathematics (11th) 30: Derivatives
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 (11th) 30: Derivatives exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 30.1 | 10 | 3 |
| Exercise 30.2 | 46 | 25 to 26 |
| Exercise 30.3 | 25 | 33 to 34 |
| Exercise 30.4 | 30 | 39 |
| Exercise 30.5 | 30 | 44 |
| Exercise 30.6 | 14 | 46 to 47 |
| Exercise 30.7 | 12 | 47 to 48 |
RD Sharma Solutions for Class 11 Mathematics (11th) 31: Mathematical reasoning
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 (11th) 31: Mathematical reasoning exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 31.1 | 17 | 3 |
| Exercise 31.2 | 17 | 6 to 7 |
| Exercise 31.3 | 17 | 14 |
| Exercise 31.4 | 4 | 16 |
| Exercise 31.5 | 28 | 21 |
| Exercise 31.6 | 15 | 28 to 29 |
RD Sharma Solutions for Class 11 Mathematics (11th) 32: Statistics
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 (11th) 32: Statistics exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 32.1 | 15 | 6 |
| Exercise 32.2 | 10 | 11 |
| Exercise 32.3 | 10 | 16 to 17 |
| Exercise 32.4 | 14 | 28 |
| Exercise 32.5 | 4 | 37 to 38 |
| Exercise 32.6 | 10 | 41 to 42 |
| Exercise 32.7 | 12 | 47 to 49 |
| Exercise 32.8 | 7 | 49 |
| Exercise 32.9 | 25 | 50 to 52 |
RD Sharma Solutions for Class 11 Mathematics (11th) 33: Probability
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 (11th) 33: Probability exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 33.1 | 25 | 6 to 7 |
| Exercise 33.2 | 21 | 15 to 16 |
| Exercise 33.3 | 108 | 45 to 48 |
| Exercise 33.4 | 44 | 67 to 69 |
| Exercise 33.5 | 9 | 71 |
| Exercise 33.6 | 40 | 71 to 73 |
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