CBSE, Karnataka Board PUC Class 12 Maths Solutions Guide
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CBSE, Karnataka Board PUC Class 12 Maths Textbook Solutions
Questions and answers for the Class 12 Maths Textbook are on this page. R.D. Sharma Solutions for Class 12 Maths Digest CBSE, Karnataka Board PUC will help students understand the concepts better.
R.D. Sharma Solutions for Class 12 Maths Chapterwise List | Class 12 Maths Digest
The answers to the R.D. Sharma books are the best study material for students. Listed below are the chapter-wise R.D. Sharma Maths Class 12 Solutions CBSE, Karnataka Board PUC.
Chapters
- • 1: Relations
- • 2: Functions
- • 3: Inverse Trigonometric Functions
- • 4: Algebra of Matrices
- • 5: Determinants
- • 6: Adjoint and Inverse of a Matrix
- • 7: Solution of Simultaneous Linear Equations
- • 8: Continuity
- • 9: Differentiability
- • 10: Differentiation
- • 11: Higher Order Derivatives
- • 12: Derivative as a Rate Measurer
- • 13: Differentials, Errors and Approximations
- • 14: Mean Value Theorems
- • 15: Tangents and Normals
- • 16: Increasing and Decreasing Functions
- • 17: Maxima and Minima
- • 18: Indefinite Integrals
- • 19: Definite Integrals
- • 20: Areas of Bounded Regions
- • 21: Differential Equations
- • 22: Algebra of Vectors
- • 23: Scalar Or Dot Product
- • 24: Vector or Cross Product
- • 25: Scalar Triple Product
- • 26: Direction Cosines and Direction Ratios
- • 27: Straight Line in Space
- • 28: The Plane
- • 29: Linear programming
- • 30: Probability
- • 31: Mean and Variance of a Random Variable
Appears in
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Chapters covered in R.D. Sharma Solutions for मैथमैटिक्स वॉल्यूम १ एण्ड २ [अंग्रेजी] कक्षा १२
R.D. Sharma Solutions for Class 12 Mathematics 1: Relations
R.D. Sharma Class 12 Mathematics 1: Relations exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 1.1 | 34 | 10 to 11 |
| Exercise 1.2 | 18 | 26 to 27 |
| Exercise 1.3 | 24 | 29 to 30 |
| Exercise 1.4 | 34 | 31 to 33 |
R.D. Sharma Solutions for Class 12 Mathematics 2: Functions
R.D. Sharma Class 12 Mathematics 2: Functions exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 2.1 | 46 | 31 to 32 |
| Exercise 2.2 | 21 | 46 |
| Exercise 2.3 | 19 | 54 to 55 |
| Exercise 2.4 | 28 | 68 to 69 |
| Exercise 2.5 | 45 | 72 to 74 |
| Exercise 2.6 | 55 | 75 to 79 |
R.D. Sharma Solutions for Class 12 Mathematics 3: Inverse Trigonometric Functions
R.D. Sharma Class 12 Mathematics 3: Inverse Trigonometric Functions exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 4.01 | 14 | 6 to 7 |
| Exercise 4.02 | 10 | 10 |
| Exercise 4.03 | 9 | 14 |
| Exercise 4.04 | 8 | 18 |
| Exercise 4.05 | 9 | 21 |
| Exercise 4.06 | 9 | 24 |
| Exercise 4.07 | 56 | 42 to 43 |
| Exercise 4.08 | 14 | 54 |
| Exercise 4.09 | 7 | 58 to 59 |
| Exercise 4.10 | 14 | 66 |
| Exercise 4.11 | 15 | 82 |
| Exercise 4.12 | 6 | 89 |
| Exercise 4.13 | 4 | 92 |
| Exercise 4.14 | 30 | 115 to 116 |
| Exercise 4.15 | 60 | 116 to 119 |
| Exercise 4.16 | 35 | 119 to 122 |
R.D. Sharma Solutions for Class 12 Mathematics 4: Algebra of Matrices
R.D. Sharma Class 12 Mathematics 4: Algebra of Matrices exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 5.1 | 38 | 6 to 8 |
| Exercise 5.2 | 33 | 18 to 19 |
| Exercise 5.3 | 106 | 41 to 48 |
| Exercise 5.4 | 16 | 54 to 55 |
| Exercise 5.5 | 8 | 60 to 61 |
| Exercise 5.6 | 68 | 62 to 65 |
| Exercise 5.7 | 45 | 65 to 69 |
R.D. Sharma Solutions for Class 12 Mathematics 5: Determinants
R.D. Sharma Class 12 Mathematics 5: Determinants exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 6.1 | 27 | 10 to 11 |
| Exercise 6.2 | 84 | 57 to 62 |
| Exercise 6.3 | 21 | 71 to 72 |
| Exercise 6.4 | 32 | 84 to 85 |
| Exercise 6.5 | 5 | 89 |
| Exercise 6.6 | 56 | 90 to 95 |
| Exercise 6.7 | 33 | 93 to 96 |
R.D. Sharma Solutions for Class 12 Mathematics 6: Adjoint and Inverse of a Matrix
R.D. Sharma Class 12 Mathematics 6: Adjoint and Inverse of a Matrix exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 7.1 | 55 | 22 to 25 |
| Exercise 7.2 | 16 | 34 |
| Exercise 7.3 | 30 | 35 to 36 |
| Exercise 7.4 | 31 | 37 to 39 |
R.D. Sharma Solutions for Class 12 Mathematics 7: Solution of Simultaneous Linear Equations
R.D. Sharma Class 12 Mathematics 7: Solution of Simultaneous Linear Equations exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 8.1 | 55 | 14 to 18 |
| Exercise 8.2 | 8 | 20 to 21 |
| Exercise 8.3 | 6 | 21 |
| Exercise 8.4 | 10 | 21 to 23 |
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R.D. Sharma Solutions for Class 12 Mathematics 8: Continuity
R.D. Sharma Class 12 Mathematics 8: Continuity exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 9.1 | 62 | 16 to 21 |
| Exercise 9.2 | 38 | 34 to 37 |
| Exercise 9.3 | 12 | 41 to 42 |
| Exercise 9.4 | 42 | 42 to 47 |
R.D. Sharma Solutions for Class 12 Mathematics 9: Differentiability
R.D. Sharma Class 12 Mathematics 9: Differentiability exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 10.1 | 11 | 10 to 11 |
| Exercise 10.2 | 12 | 16 |
| Exercise 10.3 | 13 | 17 |
| Exercise 10.4 | 26 | 17 to 20 |
R.D. Sharma Solutions for Class 12 Mathematics 10: Differentiation
R.D. Sharma Class 12 Mathematics 10: Differentiation exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 11.01 | 10 | 17 |
| Exercise 11.02 | 74 | 37 to 38 |
| Exercise 11.03 | 49 | 62 to 64 |
| Exercise 11.04 | 31 | 74 to 75 |
| Exercise 11.05 | 69 | 88 to 90 |
| Exercise 11.06 | 8 | 98 to 99 |
| Exercise 11.07 | 28 | 103 to 104 |
| Exercise 11.08 | 24 | 112 to 113 |
| Exercise 11.09 | 28 | 117 to 118 |
| Exercise 11.10 | 33 | 119 to 122 |
R.D. Sharma Solutions for Class 12 Mathematics 11: Higher Order Derivatives
R.D. Sharma Class 12 Mathematics 11: Higher Order Derivatives exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 12.1 | 61 | 16 to 18 |
| Exercise 12.2 | 9 | 22 |
| Exercise 12.3 | 25 | 22 to 24 |
R.D. Sharma Solutions for Class 12 Mathematics 12: Derivative as a Rate Measurer
R.D. Sharma Class 12 Mathematics 12: Derivative as a Rate Measurer exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 13.1 | 10 | 4 |
| Exercise 13.2 | 33 | 19 to 21 |
| Exercise 13.3 | 10 | 24 |
| Exercise 13.4 | 26 | 24 to 26 |
R.D. Sharma Solutions for Class 12 Mathematics 13: Differentials, Errors and Approximations
R.D. Sharma Class 12 Mathematics 13: Differentials, Errors and Approximations exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 14.1 | 45 | 12 to 10 |
| Exercise 14.2 | 5 | 12 |
| Exercise 14.3 | 12 | 13 |
R.D. Sharma Solutions for Class 12 Mathematics 14: Mean Value Theorems
R.D. Sharma Class 12 Mathematics 14: Mean Value Theorems exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 15.1 | 39 | 8 to 9 |
| Exercise 15.2 | 26 | 17 to 18 |
| Exercise 15.3 | 5 | 19 |
| Exercise 15.4 | 11 | 19 to 20 |
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R.D. Sharma Solutions for Class 12 Mathematics 15: Tangents and Normals
R.D. Sharma Class 12 Mathematics 15: Tangents and Normals exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 16.1 | 32 | 10 to 11 |
| Exercise 16.2 | 45 | 27 to 29 |
| Exercise 16.3 | 23 | 40 to 41 |
| Exercise 16.4 | 18 | 41 to 42 |
| Exercise 16.5 | 29 | 42 to 44 |
R.D. Sharma Solutions for Class 12 Mathematics 16: Increasing and Decreasing Functions
R.D. Sharma Class 12 Mathematics 16: Increasing and Decreasing Functions exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 17.1 | 9 | 10 |
| Exercise 17.2 | 69 | 33 to 35 |
| Exercise 17.3 | 14 | 39 to 40 |
| Exercise 17.4 | 30 | 40 to 42 |
R.D. Sharma Solutions for Class 12 Mathematics 17: Maxima and Minima
R.D. Sharma Class 12 Mathematics 17: Maxima and Minima exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 18.1 | 9 | 7 |
| Exercise 18.2 | 14 | 16 |
| Exercise 18.3 | 21 | 31 |
| Exercise 18.4 | 8 | 37 |
| Exercise 18.5 | 47 | 72 to 74 |
| Exercise 18.6 | 10 | 80 |
| Exercise 18.7 | 29 | 80 to 82 |
R.D. Sharma Solutions for Class 12 Mathematics 18: Indefinite Integrals
R.D. Sharma Class 12 Mathematics 18: Indefinite Integrals exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 19.01 | 15 | 4 |
| Exercise 19.02 | 48 | 14 to 15 |
| Exercise 19.03 | 19 | 23 to 24 |
| Exercise 19.04 | 6 | 30 |
| Exercise 19.05 | 10 | 33 |
| Exercise 19.06 | 8 | 36 |
| Exercise 19.07 | 6 | 38 |
| Exercise 19.08 | 51 | 47 to 48 |
| Exercise 19.09 | 72 | 57 to 59 |
| Exercise 19.10 | 10 | 65 |
| Exercise 19.11 | 12 | 69 |
| Exercise 19.12 | 13 | 73 |
| Exercise 19.13 | 5 | 79 |
| Exercise 19.14 | 10 | 83 |
| Exercise 19.15 | 5 | 86 |
| Exercise 19.16 | 15 | 90 |
| Exercise 19.17 | 9 | 93 |
| Exercise 19.18 | 18 | 98 to 99 |
| Exercise 19.19 | 17 | 104 |
| Exercise 19.2 | 11 | 106 |
| Exercise 19.21 | 18 | 110 to 111 |
| Exercise 19.22 | 11 | 114 |
| Exercise 19.23 | 15 | 117 |
| Exercise 19.24 | 11 | 122 |
| Exercise 19.25 | 60 | 133 to 134 |
| Exercise 19.26 | 24 | 143 |
| Exercise 19.27 | 12 | 149 |
| Exercise 19.28 | 18 | 154 to 155 |
| Exercise 19.29 | 14 | 158 to 159 |
| Exercise 19.30 | 69 | 176 to 178 |
| Exercise 19.31 | 11 | 190 |
| Exercise 19.32 | 14 | 196 |
| Very Short Answers | 62 | 197 to 198 |
| MCQ | 34 | 199 to 203 |
| Revision Excercise | 130 | 203 to 205 |
R.D. Sharma Solutions for Class 12 Mathematics 19: Definite Integrals
R.D. Sharma Class 12 Mathematics 19: Definite Integrals exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 20.1 | 68 | 16 to 18 |
| Exercise 20.2 | 62 | 38 to 40 |
| Exercise 20.3 | 30 | 55 to 56 |
| Exercise 20.4 | 16 | 61 |
| Exercise 20.5 | 50 | 94 to 96 |
| Exercise 20.6 | 34 | 110 to 111 |
| Very Short Answers | 45 | 115 to 116 |
| MCQ | 42 | 117 to 120 |
| Revision Exercise | 69 | 121 to 123 |
R.D. Sharma Solutions for Class 12 Mathematics 20: Areas of Bounded Regions
R.D. Sharma Class 12 Mathematics 20: Areas of Bounded Regions exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 21.1 | 29 | 14 to 16 |
| Exercise 21.2 | 5 | 24 |
| Exercise 21.3 | 52 | 51 to 53 |
| Exercise 21.4 | 5 | 61 |
| MCQ | 33 | 62 to 64 |
R.D. Sharma Solutions for Class 12 Mathematics 21: Differential Equations
R.D. Sharma Class 12 Mathematics 21: Differential Equations exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 22.01 | 26 | 4 to 5 |
| Exercise 22.02 | 33 | 16 to 17 |
| Exercise 22.03 | 25 | 24 to 25 |
| Exercise 22.04 | 9 | 28 |
| Exercise 22.05 | 26 | 34 |
| Exercise 22.06 | 4 | 38 |
| Exercise 22.07 | 71 | 55 to 57 |
| Exercise 22.08 | 11 | 66 |
| Exercise 22.09 | 48 | 83 to 84 |
| Exercise 22.10 | 65 | 106 to 108 |
| Exercise 22.11 | 34 | 134 to 136 |
| Very Short Answers | 29 | 137 to 139 |
| MCQ | 54 | 139 to 144 |
| Revision Exercise | 113 | 144 to 148 |
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R.D. Sharma Solutions for Class 12 Mathematics 22: Algebra of Vectors
R.D. Sharma Class 12 Mathematics 22: Algebra of Vectors exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 23.1 | 9 | 4 |
| Exercise 23.2 | 13 | 17 |
| Exercise 23.3 | 6 | 23 to 24 |
| Exercise 23.4 | 6 | 36 to 37 |
| Exercise 23.4 | 16 | 42 to 43 |
| Exercise 23.6 | 20 | 48 to 49 |
| Exercise 23.7 | 14 | 60 to 61 |
| Exercise 23.8 | 17 | 65 to 66 |
| Exercise 23.9 | 16 | 73 to 74 |
| Very Short Answers | 52 | 75 to 77 |
| MCQ | 19 | 78 to 79 |
R.D. Sharma Solutions for Class 12 Mathematics 23: Scalar Or Dot Product
R.D. Sharma Class 12 Mathematics 23: Scalar Or Dot Product exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 24.1 | 66 | 29 to 33 |
| Exercise 24.2 | 10 | 46 |
| very short answer | 42 | 46 to 48 |
| MCQ | 26 | 49 to 51 |
R.D. Sharma Solutions for Class 12 Mathematics 24: Vector or Cross Product
R.D. Sharma Class 12 Mathematics 24: Vector or Cross Product exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 25.1 | 47 | 29 to 31 |
| very short answers | 31 | 33 to 34 |
| MCQ | 15 | 34 to 36 |
R.D. Sharma Solutions for Class 12 Mathematics 25: Scalar Triple Product
R.D. Sharma Class 12 Mathematics 25: Scalar Triple Product exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 26.1 | 25 | 16 to 17 |
| Exercise 26.1 | 11 | 17 to 18 |
| MCQ | 15 | 18 to 20 |
R.D. Sharma Solutions for Class 12 Mathematics 26: Direction Cosines and Direction Ratios
R.D. Sharma Class 12 Mathematics 26: Direction Cosines and Direction Ratios exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 27.1 | 19 | 23 |
| Very Short Answers | 21 | 24 to 25 |
| MCQ | 12 | 25 to 26 |
R.D. Sharma Solutions for Class 12 Mathematics 27: Straight Line in Space
R.D. Sharma Class 12 Mathematics 27: Straight Line in Space exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 28.1 | 18 | 9 to 10 |
| Exercise 28.2 | 34 | 15 to 17 |
| Exercise 28.3 | 10 | 22 to 23 |
| Exercise 28.4 | 14 | 29 to 30 |
| Exercise 28.5 | 26 | 37 to 38 |
| Very Short Answers | 21 | 41 to 42 |
| MCQ | 14 | 42 to 43 |
R.D. Sharma Solutions for Class 12 Mathematics 28: The Plane
R.D. Sharma Class 12 Mathematics 28: The Plane exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 29.01 | 9 | 4 to 5 |
| Exercise 29.02 | 7 | 7 |
| Exercise 29.03 | 25 | 13 to 14 |
| Exercise 29.04 | 11 | 19 |
| Exercise 29.05 | 5 | 22 to 23 |
| Exercise 29.06 | 24 | 29 |
| Exercise 29.07 | 8 | 33 |
| Exercise 29.08 | 19 | 39 to 40 |
| Exercise 29.09 | 13 | 49 |
| Exercise 29.10 | 4 | 51 |
| Exercise 29.11 | 25 | 61 to 62 |
| Exercise 29.12 | 8 | 65 |
| Exercise 29.13 | 18 | 73 to 74 |
| Exercise 29.14 | 3 | 77 |
| Exercise 29.15 | 15 | 81 to 82 |
| Very Short Answers | 23 | 83 to 84 |
| MCQ | 18 | 84 to 86 |
R.D. Sharma Solutions for Class 12 Mathematics 29: Linear programming
R.D. Sharma Class 12 Mathematics 29: Linear programming exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 30.1 | 16 | 14 to 17 |
| Exercise 30.2 | 28 | 32 to 33 |
| Exercise 30.3 | 15 | 38 to 40 |
| Exercise 30.4 | 55 | 50 to 57 |
| Exercise 30.5 | 2 | 65 |
| MCQ | 17 | 67 to 68 |
R.D. Sharma Solutions for Class 12 Mathematics 30: Probability
R.D. Sharma Class 12 Mathematics 30: Probability exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 31.1 | 9 | 17 |
| Exercise 31.2 | 16 | 22 |
| Exercise 31.3 | 33 | 34 to 35 |
| Exercise 31.4 | 42 | 53 to 55 |
| Exercise 31.5 | 40 | 68 to 70 |
| Exercise 31.6 | 13 | 81 to 82 |
| Exercise 31.7 | 39 | 95 to 99 |
| Very Short Answers | 18 | 102 to 103 |
| MCQ | 59 | 103 to 108 |
R.D. Sharma Solutions for Class 12 Mathematics 31: Mean and Variance of a Random Variable
R.D. Sharma Class 12 Mathematics 31: Mean and Variance of a Random Variable exercises
| Exercise | No. of questions | Pages |
|---|---|---|
| Exercise 32.1 | 34 | 14 to 16 |
| Exercise 32.2 | 29 | 42 to 44 |
| Very Short Answers | 7 | 45 |
| MCQ | 9 | 45 to 47 |
R.D. Sharma Solutions for मैथमैटिक्स वॉल्यूम १ एण्ड २ [अंग्रेजी] कक्षा १२
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R.D. Sharma Solutions for Class 12 Maths CBSE, Karnataka Board PUC
Class 12 R.D. Sharma Solutions answer all the questions in the R.D. Sharma textbooks in a step-by-step process. Our Maths tutors helped us assemble this for our Class 12 students. The solutions on Shaalaa will help you solve all the R.D. Sharma Class 12 Maths questions without any problems. Every chapter has been broken down systematically for the students, which gives them fast learning and easy retention.
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R.D. Sharma Class 12 Maths Guide Book Back Answers
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Our CBSE, Karnataka Board PUC R.D. Sharma solutions for Maths Class 12 cover everything from Relations, Functions, Inverse Trigonometric Functions, Algebra of Matrices, Determinants, Adjoint and Inverse of a Matrix, Solution of Simultaneous Linear Equations, Continuity, Differentiability, Differentiation, Higher Order Derivatives, Derivative as a Rate Measurer, Differentials, Errors and Approximations, Mean Value Theorems, Tangents and Normals, Increasing and Decreasing Functions, Maxima and Minima, Indefinite Integrals, Definite Integrals, Areas of Bounded Regions, Differential Equations, Algebra of Vectors, Scalar Or Dot Product, Vector or Cross Product, Scalar Triple Product, Direction Cosines and Direction Ratios, Straight Line in Space, The Plane, Linear programming, Probability, Mean and Variance of a Random Variable and the other topics.
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