## RD Sharma Solutions for Class 12 Maths Chapterwise List - Free

The answers for the RD Sharma books are the best study material for students. These RD Sharma Solutions for Class 12 Maths will help students understand the concepts better.

## Mathematics for Class 12 (Set of 2 Volume)

Author: R.D. SharmaPublisher: Dhanpat Rai Publications

Language: English

Shaalaa provides solutions for RD Sharma Class 12 and has all the answers for the questions given in **Mathematics for Class 12 (Set of 2 Volume)**. Shaalaa is surely a site that most of your classmates are using to perform well in exams.

You can solve **Mathematics for Class 12 (Set of 2 Volume)** textbook questions and use Shaalaa RD Sharma Solutions for Class 12 Maths to verify your answers.

### Appears in

## Chapters covered in RD Sharma Solutions for Class 12 Maths

**RD Sharma Class 12 Mathematics Chapter 1: Relations solutions**

#### RD Sharma Class 12 Mathematics Chapter 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 |

**RD Sharma Class 12 Mathematics Chapter 2: Functions solutions**

#### RD Sharma Class 12 Mathematics Chapter 2: Functions exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 2.1 | 46 | 31 to 32 |

Exercise 2.2 | 21 | 46 to 54 |

Exercise 2.3 | 20 | 54 to 69 |

Exercise 2.4 | 27 | 68 to 69 |

**RD Sharma Class 12 Mathematics Chapter 3: Binary Operations solutions**

#### RD Sharma Class 12 Mathematics Chapter 3: Binary Operations exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 3.1 | 21 | 4 to 5 |

Exercise 3.2 | 31 | 12 to 13 |

Exercise 3.3 | 4 | 15 |

Exercise 3.4 | 19 | 25 |

Exercise 3.5 | 11 | 33 to 34 |

Exercise 3.6 | 20 | 35 to 36 |

Exercise 3.7 | 29 | 36 to 39 |

**RD Sharma Class 12 Mathematics Chapter 4: Inverse Trigonometric Functions solutions**

#### RD Sharma Class 12 Mathematics Chapter 4: Inverse Trigonometric Functions exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 4.1 | 29 | 6 to 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 |

Exercise 4.2 | 9 | 10 |

Exercise 4.3 | 9 | 14 |

Exercise 4.4 | 8 | 18 |

Exercise 4.5 | 9 | 21 |

Exercise 4.6 | 9 | 24 |

Exercise 4.7 | 56 | 42 to 43 |

Exercise 4.8 | 14 | 54 |

Exercise 4.9 | 7 | 58 to 59 |

**RD Sharma Class 12 Mathematics Chapter 5: Algebra of Matrices solutions**

#### RD Sharma Class 12 Mathematics Chapter 5: Algebra of Matrices exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 5.1 | 38 | 5 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 | 38 to 69 |

**RD Sharma Class 12 Mathematics Chapter 6: Determinants solutions**

#### RD Sharma Class 12 Mathematics Chapter 6: 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 |

**RD Sharma Class 12 Mathematics Chapter 7: Adjoint and Inverse of a Matrix solutions**

#### RD Sharma Class 12 Mathematics Chapter 7: 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 |

**RD Sharma Class 12 Mathematics Chapter 8: Solution of Simultaneous Linear Equations solutions**

#### RD Sharma Class 12 Mathematics Chapter 8: Solution of Simultaneous Linear Equations exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 8.1 | 55 | 14 to 18 |

Exercise 8.2 | 16 | 20 to 21 |

**RD Sharma Class 12 Mathematics Chapter 9: Continuity solutions**

#### RD Sharma Class 12 Mathematics Chapter 9: Continuity exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 9.1 | 62 | 16 to 21 |

Exercise 9.2 | 38 | 34 to 37 |

**RD Sharma Class 12 Mathematics Chapter 10: Differentiability solutions**

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

Exercise | No. of questions | Pages |
---|---|---|

Exercise 10.1 | 11 | 10 to 11 |

Exercise 10.2 | 12 | 16 |

**RD Sharma Class 12 Mathematics Chapter 11: Differentiation solutions**

#### RD Sharma Class 12 Mathematics Chapter 11: Differentiation exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 11.1 | 10 | 17 |

Exercise 11.2 | 74 | 37 to 38 |

Exercise 11.3 | 49 | 62 to 64 |

Exercise 11.4 | 31 | 74 to 75 |

Exercise 11.5 | 69 | 88 to 90 |

Exercise 11.6 | 8 | 98 to 99 |

Exercise 11.7 | 28 | 103 to 104 |

Exercise 11.8 | 24 | 112 to 113 |

**RD Sharma Class 12 Mathematics Chapter 12: Higher Order Derivatives solutions**

#### RD Sharma Class 12 Mathematics Chapter 12: Higher Order Derivatives exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 12.1 | 61 | 16 to 18 |

**RD Sharma Class 12 Mathematics Chapter 13: Derivative as a Rate Measurer solutions**

#### RD Sharma Class 12 Mathematics Chapter 13: Derivative as a Rate Measurer exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 13.1 | 10 | 4 |

Exercise 13.2 | 33 | 19 to 21 |

**RD Sharma Class 12 Mathematics Chapter 14: Differentials, Errors and Approximations solutions**

#### RD Sharma Class 12 Mathematics Chapter 14: Differentials, Errors and Approximations exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 14.1 | 45 | 9 to 12 |

**RD Sharma Class 12 Mathematics Chapter 15: Mean Value Theorems solutions**

#### RD Sharma Class 12 Mathematics Chapter 15: Mean Value Theorems exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 15.1 | 40 | 8 to 17 |

Exercise 15.2 | 26 | 9 to 20 |

**RD Sharma Class 12 Mathematics Chapter 16: Tangents and Normals solutions**

#### RD Sharma Class 12 Mathematics Chapter 16: 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 |

**RD Sharma Class 12 Mathematics Chapter 17: Increasing and Decreasing Functions solutions**

#### RD Sharma Class 12 Mathematics Chapter 17: Increasing and Decreasing Functions exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 17.1 | 9 | 10 |

Exercise 17.2 | 69 | 33 to 35 |

**RD Sharma Class 12 Mathematics Chapter 18: Maxima and Minima solutions**

#### RD Sharma Class 12 Mathematics Chapter 18: 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 |

**RD Sharma Class 12 Mathematics Chapter 19: Indefinite Integrals solutions**

#### RD Sharma Class 12 Mathematics Chapter 19: Indefinite Integrals exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 19.1 | 25 | 4 to 65 |

Exercise 19..11 | 1 | 69 |

Exercise 19.11 | 11 | 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 | 59 | 14 to 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 | 14 to 143 |

Exercise 19.27 | 12 | 149 |

Exercise 19.3 | 19 | 23 to 24 |

Exercise 19.4 | 6 | 30 |

Exercise 19.5 | 10 | 33 |

Exercise 19.6 | 8 | 3 to 36 |

Exercise 19.7 | 6 | 38 |

Exercise 19.8 | 50 | 47 to 48 |

Exercise 19.85 | 1 | 48 |

Exercise 19.9 | 72 | 57 to 59 |

MCQ | 34 | 199 to 203 |

Revision Excercise | 130 | 203 to 205 |

Very Short Answers | 62 | 179 to 198 |

**RD Sharma Class 12 Mathematics Chapter 20: Definite Integrals solutions**

#### RD Sharma Class 12 Mathematics Chapter 20: 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 |

MCQ | 42 | 117 to 120 |

Revision Exercise | 69 | 12 to 123 |

Very Short Answers | 45 | 111 to 116 |

**RD Sharma Class 12 Mathematics Chapter 21: Areas of Bounded Regions solutions**

#### RD Sharma Class 12 Mathematics Chapter 21: 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 |

**RD Sharma Class 12 Mathematics Chapter 22: Differential Equations solutions**

#### RD Sharma Class 12 Mathematics Chapter 22: Differential Equations exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 22.1 | 91 | 4 to 108 |

Exercise 22.11 | 34 | 134 to 136 |

Exercise 22.2 | 33 | 16 to 17 |

Exercise 22.3 | 25 | 24 to 25 |

Exercise 22.4 | 9 | 28 |

Exercise 22.5 | 26 | 34 |

Exercise 22.6 | 4 | 38 |

Exercise 22.7 | 71 | 55 to 57 |

Exercise 22.8 | 11 | 66 |

Exercise 22.9 | 48 | 83 to 84 |

MCQ | 54 | 139 to 144 |

Revision Exercise | 113 | 144 to 148 |

Very Short Answers | 29 | 137 to 139 |

**RD Sharma Class 12 Mathematics Chapter 23: Algebra of Vectors solutions**

#### RD Sharma Class 12 Mathematics Chapter 23: Algebra of Vectors exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 23.1 | 9 | 4 |

Exercise 23.2 | 15 | 17 to 24 |

Exercise 23.3 | 4 | 23 to 24 |

Exercise 23.4 | 11 | 36 to 42 |

Exercise 23.5 | 11 | 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 |

MCQ | 19 | 78 to 79 |

Very Short Answers | 52 | 75 to 77 |

**RD Sharma Class 12 Mathematics Chapter 24: Scalar Or Dot Product solutions**

#### RD Sharma Class 12 Mathematics Chapter 24: Scalar Or Dot Product exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 24.1 | 66 | 29 to 33 |

Exercise 24.2 | 10 | 46 |

MCQ | 26 | 49 to 51 |

very short answer | 42 | 46 to 48 |

**RD Sharma Class 12 Mathematics Chapter 25: Vector or Cross Product solutions**

#### RD Sharma Class 12 Mathematics Chapter 25: Vector or Cross Product exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 25.1 | 47 | 29 to 31 |

MCQ | 15 | 34 to 36 |

very short answers | 31 | 33 to 34 |

**RD Sharma Class 12 Mathematics Chapter 26: Scalar Triple Product solutions**

#### RD Sharma Class 12 Mathematics Chapter 26: Scalar Triple Product exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 26.1 | 29 | 16 to 17 |

MCQ | 15 | 18 to 20 |

Very Short Answers | 7 | 18 |

**RD Sharma Class 12 Mathematics Chapter 27: Direction Cosines and Direction Ratios solutions**

#### RD Sharma Class 12 Mathematics Chapter 27: Direction Cosines and Direction Ratios exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 27.1 | 19 | 23 |

MCQ | 12 | 25 to 26 |

Very Short Answers | 21 | 24 to 25 |

**RD Sharma Class 12 Mathematics Chapter 28: Straight Line in Space solutions**

#### RD Sharma Class 12 Mathematics Chapter 28: 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 |

MCQ | 14 | 42 to 43 |

Very Short Answers | 21 | 41 to 42 |

**RD Sharma Class 12 Mathematics Chapter 29: The Plane solutions**

#### RD Sharma Class 12 Mathematics Chapter 29: The Plane exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 29.1 | 13 | 4 to 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 |

Exercise 29.2 | 7 | 7 |

Exercise 29.3 | 25 | 13 to 14 |

Exercise 29.4 | 11 | 19 |

Exercise 29.5 | 5 | 22 to 23 |

Exercise 29.6 | 24 | 29 |

Exercise 29.7 | 8 | 33 |

Exercise 29.8 | 19 | 39 to 40 |

Exercise 29.9 | 13 | 49 |

MCQ | 18 | 84 to 86 |

Very Short Answers | 23 | 83 to 84 |

**RD Sharma Class 12 Mathematics Chapter 30: Linear programming solutions**

#### RD Sharma Class 12 Mathematics Chapter 30: 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 |

**RD Sharma Class 12 Mathematics Chapter 31: Probability solutions**

#### RD Sharma Class 12 Mathematics Chapter 31: 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 |

MCG | 1 | 105 |

MCQ | 55 | 103 to 108 |

Very Short Answers | 17 | 102 to 103 |

Very Short AnswersVery Short Answers | 1 | 103 |

**RD Sharma Class 12 Mathematics Chapter 32: Mean and Variance of a Random Variable solutions**

#### RD Sharma Class 12 Mathematics Chapter 32: Mean and Variance of a Random Variable exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 32. | 1 | 14 |

Exercise 32.1 | 33 | 14 to 16 |

Exercise 32.2 | 29 | 42 to 44 |

MCQ | 9 | 45 to 47 |

Very Short Answers | 7 | 45 |

**RD Sharma Class 12 Mathematics Chapter 33: Binomial Distribution solutions**

#### RD Sharma Class 12 Mathematics Chapter 33: Binomial Distribution exercises

Exercise | No. of questions | Pages |
---|---|---|

Exercise 33. | 1 | 14 |

Exercise 33.1 | 71 | 12 to 15 |

Exercise 33.2 | 27 | 25 to 26 |

MCQ | 30 | 27 to 30 |

Very Short Answers | 12 | 27 |

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