## RD Sharma Class 12 Solutions

RD Sharma Class 12 book contains a large number of well-graded solved examples. New illustrative examples and problems have been added to the exercises in each chapter. In each chapter, all concepts and definitions have been discussed in detail in a lucid manner and have also been explained with suitable illustrative examples.

You can also Download Class 12 Maths NCERT Solutions to help you to revise complete Syllabus and score more marks in your examinations.

### Key points of RD Sharma Class 12 Solutions

- Complete and customized answers for each question in RD Sharma Mathematics
- Detailed explanation for each question

### Chapter-wise RD Sharma Solutions Class 12 Maths

- Chapter 1: Relations
- Chapter 2: Functions
- Chapter 3: Binary Operations
- Chapter 4: Inverse Trigonometric Functions
- Chapter 5: Algebra of Matrices
- Chapter 6: Determinants
- Chapter 7: Adjoint and Inverse of a Matrix
- Chapter 8: Solution of Simultaneous Linear Equations
- Chapter 9: Continuity
- Chapter 10: Differentiability
- Chapter 11: Differentiation
- Chapter 12: Higher Order Derivatives
- Chapter 13: Derivative as a Rate Measurer
- Chapter 14: Differentials, Errors and Approximations
- Chapter 15: Mean Value Theorems
- Chapter 16: Tangents and Normals
- Chapter 17: Increasing and Decreasing Functions
- Chapter 18: Maxima and Minima
- Chapter 19: Indefinite Integrals
- Chapter 20: Definite Integrals
- Chapter 21: Areas of Bounded Regions
- Chapter 22: Differential Equations
- Chapter 23 Algebra of Vectors
- Chapter 24: Scalar Or Dot Product
- Chapter 25: Vector or Cross Product
- Chapter 26: Scalar Triple Product
- Chapter 27: Direction Cosines and Direction Ratios
- Chapter 28 Straight line in space
- Chapter 29: The plane
- Chapter 30: Linear programming
- Chapter 31: Probability
- Chapter 32: Mean and variance of a random variable
- Chapter 33: Binomial Distribution

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### RD Sharma Solutions for Class 12 Maths Chapter 1 – Relations

### RD Sharma Solutions for Class 12 Maths Chapter 2 – Functions

- Class 12 Maths Functions Exercise 2.1
- Class 12 Maths Functions Exercise 2.2
- Class 12 Maths Functions Exercise 2.3
- Class 12 Maths Functions Exercise 2.4
- Class 12 Maths Functions Exercise 2.5

### RD Sharma Solutions for Class 12 Maths Chapter 3 – Binary Operations

- Class 12 Maths Binary Operations Exercise 3.1
- Class 12 Maths Binary Operations Exercise 3.2
- Class 12 Maths Binary Operations Exercise 3.3
- Class 12 Maths Binary Operations Exercise 3.4
- Class 12 Maths Binary Operations Exercise 3.5

### RD Sharma Solutions for Class 12 Maths Chapter 4 – Inverse Trigonometric Functions

- Class 12 Maths Inverse Trigonometric Functions Exercise 4.1
- Class 12 Maths Inverse Trigonometric Functions Exercise 4.2

### RD Sharma Solutions for Class 12 Maths Chapter 5 – Algebra of Matrices

- Class 12 Maths Algebra of Matrices Exercise 5.1
- Class 12 Maths Algebra of Matrices Exercise 5.2
- Class 12 Maths Algebra of Matrices Exercise 5.3
- Class 12 Maths Algebra of Matrices Exercise 5.4
- Class 12 Maths Algebra of Matrices Exercise 5.5

### RD Sharma Solutions for Class 12 Maths Chapter 6 – Determinants

- Class 12 Maths Determinants Exercise 6.1
- Class 12 Maths Determinants Exercise 6.2
- Class 12 Maths Determinants Exercise 6.3
- Class 12 Maths Determinants Exercise 6.4
- Class 12 Maths Determinants Exercise 6.5

### RD Sharma Solutions for Class 12 Maths Chapter 7 – Adjoint and Inverse of a Matrix

- Class 12 Maths Adjoint and Inverse of a Matrix Exercise 7.1
- Class 12 Maths Adjoint and Inverse of a Matrix Exercise 7.2

### RD Sharma Solutions for Class 12 Maths Chapter 8 – Solution of Simultaneous Linear Equations

- Class 12 Maths Solution of Simultaneous Linear Equations Exercise 8.1
- Class 12 Maths Solution of Simultaneous Linear Equations Exercise 8.2

### RD Sharma Solutions for Class 12 Maths Chapter 9 – Continuity

### RD Sharma Solutions for Class 12 Maths Chapter 10 – Differentiability

### RD Sharma Solutions for Class 12 Maths Chapter 11 – Differentiation

- Class 12 Maths Differentiation Exercise 11.1
- Class 12 Maths Differentiation Exercise 11.2
- Class 12 Maths Differentiation Exercise 11.3
- Class 12 Maths Differentiation Exercise 11.4
- Class 12 Maths Differentiation Exercise 11.5
- Class 12 Maths Differentiation Exercise 11.6
- Class 12 Maths Differentiation Exercise 11.7
- Class 12 Maths Differentiation Exercise 11.8

### RD Sharma Solutions for Class 12 Maths Chapter 12 – Higher Order Derivatives

### RD Sharma Solutions for Class 12 Maths Chapter 13 – Derivative as a Rate Measurer

- Class 12 Maths Derivative as a Rate Measurer Exercise 13.1
- Class 12 Maths Derivative as a Rate Measurer Exercise 13.2

### RD Sharma Solutions for Class 12 Maths Chapter 14 – Differentials, Errors and Approximations

### RD Sharma Solutions for Class 12 Maths Chapter 15 – Mean Value Theorems

### RD Sharma Solutions for Class 12 Maths Chapter 16 – Tangents and Normals

- Class 12 Maths Tangents and Normals Exercise 16.1
- Class 12 Maths Tangents and Normals Exercise 16.2
- Class 12 Maths Tangents and Normals Exercise 16.3

### RD Sharma Solutions for Class 12 Maths Chapter 17 – Increasing and Decreasing Functions

- Class 12 Maths Increasing and Decreasing Functions Exercise 17.1
- Class 12 Maths Increasing and Decreasing Functions Exercise 17.2

### RD Sharma Solutions for Class 12 Maths Chapter 18 – Maxima and Minima

- Class 12 Maths Increasing and Decreasing Functions Exercise 18.1
- Class 12 Maths Increasing and Decreasing Functions Exercise 18.2
- Class 12 Maths Increasing and Decreasing Functions Exercise 18.3
- Class 12 Maths Increasing and Decreasing Functions Exercise 18.4
- Class 12 Maths Increasing and Decreasing Functions Exercise 18.5

### RD Sharma Solutions for Class 12 Maths Chapter 19 – Indefinite Integrals

- Class 12 Maths Indefinite Integrals Exercise 19.1
- Class 12 Maths Indefinite Integrals Exercise 19.2
- Class 12 Maths Indefinite Integrals Exercise 19.3
- Class 12 Maths Indefinite Integrals Exercise 19.4
- Class 12 Maths Indefinite Integrals Exercise 19.5
- Class 12 Maths Indefinite Integrals Exercise 19.6
- Class 12 Maths Indefinite Integrals Exercise 19.7
- Class 12 Maths Indefinite Integrals Exercise 19.8
- Class 12 Maths Indefinite Integrals Exercise 19.9
- Class 12 Maths Indefinite Integrals Exercise 19.10
- Class 12 Maths Indefinite Integrals Exercise 19.11
- Class 12 Maths Indefinite Integrals Exercise 19.12
- Class 12 Maths Indefinite Integrals Exercise 19.13
- Class 12 Maths Indefinite Integrals Exercise 19.14
- Class 12 Maths Indefinite Integrals Exercise 19.15
- Class 12 Maths Indefinite Integrals Exercise 19.16
- Class 12 Maths Indefinite Integrals Exercise 19.17
- Class 12 Maths Indefinite Integrals Exercise 19.18
- Class 12 Maths Indefinite Integrals Exercise 19.19
- Class 12 Maths Indefinite Integrals Exercise 19.20
- Class 12 Maths Indefinite Integrals Exercise 19.21
- Class 12 Maths Indefinite Integrals Exercise 19.22
- Class 12 Maths Indefinite Integrals Exercise 19.23
- Class 12 Maths Indefinite Integrals Exercise 19.24
- Class 12 Maths Indefinite Integrals Exercise 19.25
- Class 12 Maths Indefinite Integrals Exercise 19.26
- Class 12 Maths Indefinite Integrals Exercise 19.27
- Class 12 Maths Indefinite Integrals Exercise 19.28
- Class 12 Maths Indefinite Integrals Exercise 19.29
- Class 12 Maths Indefinite Integrals Exercise 19.30
- Class 12 Maths Indefinite Integrals Exercise 19.31
- Class 12 Maths Indefinite Integrals Exercise 19.32

### RD Sharma Solutions for Class 12 Maths Chapter 20 – Definite Integrals

- Class 12 Maths Definite Integrals Exercise 20.1
- Class 12 Maths Definite Integrals Exercise 20.2
- Class 12 Maths Definite Integrals Exercise 20.3
- Class 12 Maths Definite Integrals Exercise 20.4
- Class 12 Maths Definite Integrals Exercise 20.5

### RD Sharma Solutions for Class 12 Maths Chapter 21 – Areas of Bounded Regions

- Class 12 Maths Areas of Bounded Regions Exercise 21.1
- Class 12 Maths Areas of Bounded Regions Exercise 21.2
- Class 12 Maths Areas of Bounded Regions Exercise 21.3
- Class 12 Maths Areas of Bounded Regions Exercise 21.4

### RD Sharma Solutions for Class 12 Maths Chapter 22 – Differential Equations

- Class 12 Maths Differential Equations Exercise 22.1
- Class 12 Maths Differential Equations Exercise 22.2
- Class 12 Maths Differential Equations Exercise 22.3
- Class 12 Maths Differential Equations Exercise 22.4
- Class 12 Maths Differential Equations Exercise 22.5
- Class 12 Maths Differential Equations Exercise 22.6
- Class 12 Maths Differential Equations Exercise 22.7
- Class 12 Maths Differential Equations Exercise 22.8
- Class 12 Maths Differential Equations Exercise 22.9
- Class 12 Maths Differential Equations Exercise 22.10
- Class 12 Maths Differential Equations Exercise 22.11

### RD Sharma Solutions for Class 12 Maths Chapter 23 – Algebra of Vectors

- Class 12 Maths Algebra of Vectors Exercise 23.1
- Class 12 Maths Algebra of Vectors Exercise 23.2
- Class 12 Maths Algebra of Vectors Exercise 23.3
- Class 12 Maths Algebra of Vectors Exercise 23.4
- Class 12 Maths Algebra of Vectors Exercise 23.5
- Class 12 Maths Algebra of Vectors Exercise 23.6
- Class 12 Maths Algebra of Vectors Exercise 23.7
- Class 12 Maths Algebra of Vectors Exercise 23.8
- Class 12 Maths Algebra of Vectors Exercise 23.9

### RD Sharma Solutions for Class 12 Maths Chapter 24 – Scalar Or Dot Product

- Class 12 Maths Scalar Or Dot Product Exercise 24.1

Class 12 Maths Scalar Or Dot Product Exercise 24.2

### RD Sharma Solutions for Class 12 Maths Chapter 25 – Vector or Cross Product

### RD Sharma Solutions for Class 12 Maths Chapter 26 – Scalar Triple Product

### RD Sharma Solutions for Class 12 Maths Chapter 27 – Direction Cosines and Direction Ratios

### RD Sharma Solutions for Class 12 Maths Chapter 28 – Straight Line in Space

- Class 12 Maths Straight Line in Space Exercise 28.1
- Class 12 Maths Straight Line in Space Exercise 28.2
- Class 12 Maths Straight Line in Space Exercise 28.3
- Class 12 Maths Straight Line in Space Exercise 28.4
- Class 12 Maths Straight Line in Space Exercise 28.5

### RD Sharma Solutions for Class 12 Maths Chapter 29 – The Plane

- Class 12 Maths The Plane Exercise 29.1
- Class 12 Maths The Plane Exercise 29.2
- Class 12 Maths The Plane Exercise 29.3
- Class 12 Maths The Plane Exercise 29.4
- Class 12 Maths The Plane Exercise 29.5
- Class 12 Maths The Plane Exercise 29.6
- Class 12 Maths The Plane Exercise 29.7
- Class 12 Maths The Plane Exercise 29.8
- Class 12 Maths The Plane Exercise 29.9
- Chapter 29 The Plane Ex 29.11
- Chapter 29 The Plane Ex 29.12
- Chapter 29 The Plane Ex 29.13
- Chapter 29 The Plane Ex 29.14
- Chapter 29 The Plane Ex 29.15

### RD Sharma Solutions for Class 12 Maths Chapter 30 – Linear programming

- Class 12 Maths Linear programming Exercise 30.1
- Class 12 Maths Linear programming Exercise 30.2
- Class 12 Maths Linear programming Exercise 30.3
- Class 12 Maths Linear programming Exercise 30.4
- Class 12 Maths Linear programming Exercise 30.5

### RD Sharma Solutions for Class 12 Maths Chapter 31 – Probability

- Class 12 Maths Probability Exercise 31.1
- Class 12 Maths Probability Exercise 31.2
- Class 12 Maths Probability Exercise 31.3
- Class 12 Maths Probability Exercise 31.4
- Class 12 Maths Probability Exercise 31.5
- Class 12 Maths Probability Exercise 31.6
- Class 12 Maths Probability Exercise 31.7

### RD Sharma Solutions for Class 12 Maths Chapter 32 – Mean and Variance of a Random Variable

- Class 12 Maths Mean and Variance of a Random Variable Exercise 32.1
- Class 12 Maths Mean and Variance of a Random Variable Exercise 32.2

### RD Sharma Solutions for Class 12 Maths Chapter 33 – Binomial Distribution

- Class 12 Maths Binomial Distribution Exercise 33.1
- Class 12 Maths Binomial Distribution Exercise 33.2

You can also download the free PDF of **RD Sharma Class 12 Solutions** or save the solution images and take the print out to keep it handy for your exam preparation.

### RD Sharma Class 12 Solutions Download PDF Chapter 1 to 33

**Mathematics for Class XII Volume – I and Volume – II**

This text book is based on the latest syllabus prescribed by the CBSE. The text has been divided into two volumes. Volume – I consists of 1 – 19 and Volume – II Consists of 20 -33. **Illustrative examples** and **exercises** given at the end of every section/sub-section in each chapter have been arranged in the increasing order of difficulty level and have bee categorised into two levels, namely **Level – 1** and **Level – 2**. At the end of each chapter an exercise consisting of **Multiple Choice Questions(MCQs), Summary **for quick revision of concepts and formulae have been given.

**Unique Features of RD Sharma Class 12 Maths Textbook**

- Detailed Theory with Illustrations
- Algorithmic Approach
- Large Number of graded illustrative Examples and Exercises
- Brief Summary Consisting of Concepts and Formulae.

**About the Author**

**Dr. R.D. Sharma **is Currently working as Head of Dept. (Science and Humanities) in the Department of Training and Technical Education, Govt of Delhi. A Ph.D. in Mathematics, He is a double gold medalist, ranking first in the order of merit in both B.Sc (Hons.) and M.Sc. Examinations from the University of Rajasthan, Jaipur.

He has undergone rigorous training from IIT, Kharagpur in computer-oriented mathematical methods has a long experience of teaching postgraduate and engineering students.

**More Resources for NCERT Solutions Class 12:**

- NCERT Solutions
- NCERT Solutions Class 12 Physics
- NCERT Solutions Class 12 Hindi
- NCERT Solutions Class 12 Vistas English
- NCERT Solutions Class 12th Flamingo English
- RD Sharma Solutions
- CBSE Sample Papers for Class 12

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