# RD Sharma Class 12 Mathematics Solutions

## Comprehensive RD Sharma solutions for Class 12 Maths

RD Sharma Maths text book is one of the finest text book for class 12 maths specifically for the students who are preparing for competitive exams. Mathematics is subject of practice . to have good practice you need quality of questions and RD Sharma Class 12 Maths fulfil a very good requirement of maths questions. Do solve NCERT class 12 maths with the help of entrancei **NCERT solutions for class 12 Maths**.

## Find below Pdf of RD Sharma solutions for Class 12 Maths for download

### Chapters in RD Sharma class 12 Text book volume-1 and Volume-2 are

- 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

### About chapters covers in RD Sharma class 12 Mathematics solutions

**Chapter 1: Relations**

Entrancei academic team solved 110 questions with step by step explanation of chapter-1 Relations. Theory and concepts which are used in chapter-1 Relations are Relations are Composition of Functions and Invertible Function, Inverse of a Function, Types of Functions, Types of Relations. Solve as many as**Maths Questions**as you can.

**Chapter 2: Functions**

Entrancei academic team solved 214 questions with step by step explanation of chapter-2 Functions.

**Chapter 3: Binary Operations**

Entrancei academic team solved 135 questions with step by step explanation of chapter-3 Binary Operations. Theory and concepts which are used in chapter-3 Concept of Binary Operations, Introduction of Relations and Functions, Inverse of a Function

**Chapter 4: Inverse Trigonometric Functions**

Entrancei academic team solved 300 questions with step by step explanation of chapter-4 Inverse Trigonometric Functions. Theory and concepts which are used in chapter-4 Graphs of Inverse Trigonometric Functions, Inverse Trigonometric Functions - Principal Value Branch.

**Chapter 5: Algebra of Matrices**

Entrancei academic team solved 314 questions with step by step explanation of chapter-5 Algebra of Matrices. Theory and concepts which are used in chapter-5 Elementary Operations, Invertible Matrices, Matrices Notation, Multiplication of a Matrix by a Scalar, Multiplication of Matrices, Multiplication of Two Matrices, Negative of Matrix, Order of a Matrix, Proof of the Uniqueness of Inverse

**Chapter 6: Determinants**

Entrancei academic team solved 258 questions with step by step explanation of chapter-6 Determinants. Theory and concepts which are used in chapter-6 Determinants and Matrices, Area of a Triangle, Determinant of a Matrix of Order 3 × 3, Determinant of a Square Matrix.

**Chapter 7: Adjoint and Inverse of a Matrix**

Entrancei academic team solved 132 questions with step by step explanation of chapter-7 Adjoint and Inverse of a Matrix. Theory and concepts which are used in chapter-7 Determinant of a Square Matrix, Determinants of Matrix of Order One and Two, Elementary Transformations, Introduction of Determinant

**Chapter 8: Solution of Simultaneous Linear Equations**

Entrancei academic team solved 79 questions with step by step explanation of chapter-8 Solution of Simultaneous Linear Equations. Theory and concepts which are used in chapter-8 Simultaneous Linear Equations are Adjoint and Inverse of a Matrix, Applications of Determinants and Matrices, Area of a Triangle

**Chapter 9: Continuity**

Entrancei solved 154 questions with step by step explanation of chapter-9 Continuity. Theory and concepts which are used in chapter-9 Composite Functions - Chain Rule, Derivatives of Functions in Parametric Forms, Derivatives of Implicit Functions, Derivatives of Inverse Trigonometric Functions

**Chapter 10: Differentiability**

Our academic team solved 62 questions with detail explanation of chapter-10 Differentiability. Theory and concepts which are used in chapter-10 Derivatives of Implicit Functions, Derivatives of Inverse Trigonometric Functions, Exponential and Logarithmic Functions, Higher Order Derivative, Infinite Series, Logarithmic Differentiation, Mean Value Theorem.

**Chapter 11: Differentiation**

Entrancei academic team solved 354 questions with proper explanation of chapter-11 Differentiation. Theory and concepts which are used in chapter-11 Differentiation are Approximations, Graph of Maxima and Minima, Increasing and Decreasing Functions

**Chapter 12: Higher Order Derivatives**

Entrancei academic team solved 95 questions with required explanation of chapter-12 Higher Order Derivatives. Theory and concepts which are used in chapter-12 Maximum and Minimum Values of a Function in a Closed Interval, Rate of Change of Bodies Or Quantities, Simple Problems on Applications of Derivatives.

**Chapter 13: Derivative as a Rate Measurer**

Entrancei academic team solved 79 questions with step by step explanation of chapter-13 Derivative as a Rate Measurer. Theory and concepts which are used in chapter-13 Rate of Change of Bodies Or Quantities, Simple Problems on Applications of Derivatives.

**Chapter 14: Differentials, Errors and Approximations**

Entrancei academic team solved 62 questions with step by step explanation of chapter-14 Differentials, Errors and Approximations .Theory and concepts which are used in chapter-14 Maxima and Minima, Increasing and Decreasing Functions.

**Chapter 15: Mean Value Theorems**

Entrancei academic team solved 81 questions with step by step explanation of chapter-15 Mean Value Theorems. Theory and concepts which are used in chapter-15 Mean Value Theorems are Approximations, Graph of Maxima and Minima, Increasing and Decreasing Functions.

**Chapter 16: Tangents and Normals**

Entrancei academic team solved 147 questions with explanation of chapter-16 Tangents and Normals. Theory and concepts which are used in chapter-16 Rate of Change of Bodies Or Quantities, Simple Problems on Applications of Derivatives, Tangents and Normals

**Chapter 17: Increasing and Decreasing Functions**

Entrancei academic team solved 122 questions with step by step explanation of chapter-17 Increasing and Decreasing Functions. Theory and concepts which are used in chapter-17 Rate of Change of Bodies Or Quantities, Simple Problems on Applications of Derivatives,

**Chapter 18: Maxima and Minima**

Entrancei academic team solved 138 questions with step by step explanation of chapter-18 Maxima and Minima.

**Chapter 19: Indefinite Integrals**

Entrancei academic team uploaded pdf of 863 questions with detail solutions of all questions of chapter-19 Indefinite Integrals. Theory and concepts which are used in chapter-19 Fundamental Theorem of Calculus, Geometrical Interpretation of Indefinite Integral, Indefinite Integral by Inspection, Indefinite Integral Problems, Integrals of Some Particular Functions, Integration as an Inverse Process of Differentiation.

**Chapter 20: Definite Integrals**

Entrancei academic team solved 416 questions with step by step explanation of chapter-20 Definite Integrals. Theory and concepts which are used in chapter-20 Definite Integral as the Limit of a Sum, Definite Integrals Problems, Evaluation of Definite Integrals by Substitution.

**Chapter 21: Areas of Bounded Regions**

Academic team solved 124 questions with solid explanation of chapter-21 Areas of Bounded Regions. Theory and concepts which are used in chapter-21 Areas of Bounded Regions are Area Between Two Curves, Area of the Region Bounded by a Curve and a Line, Area Under Simple Curves

**Chapter 22: Differential Equations**

Our academic team solved 548 questions with in depth explanation of chapter-22 Differential Equations. Theory and concepts which are used in chapter-22 Differential Equations are Basic Concepts of Differential Equation, Differential Equations with Variables Separable.

**Chapter 23: Algebra of Vectors**

Entrancei academic team solved 188 questions with step by step explanation of chapter-23 Algebra of Vectors. Theory and concepts which are used in chapter-23 Introduction of Product of Two Vectors, Introduction of Vector, Magnitude and Direction of a Vector, Multiplication of a Vector by a Scalar, Position Vector of a Point Dividing a Line Segment in a Given Ratio.

**Chapter 24: Scalar Or Dot Product**

Our academic team solved 144 questions with step by step explanation of chapter-24 Scalar Or Dot Product. Theory and concepts which are used in chapter-24 Scalar Or Dot Product are Addition of Vectors, Basic Concepts of Vector Algebra, Components of a Vector, Concept of Direction Cosines, Geometrical Interpretation of Scalar, Introduction of Product of Two Vectors.

**Chapter 25: Vector or Cross Product**

Entrancei academic team solved 93 questions with step by step explanation of chapter-25 Vector or Cross Product. Theory and concepts which are used in chapter-25 Concepts covered in Vector or Cross Product are Addition of Vectors, Basic Concepts of Vector Algebra, Components of a Vector, Concept of Direction Cosines, Geometrical Interpretation of Scalar, Introduction of Product of Two Vectors, Introduction of Vector, Magnitude and Direction of a Vector.

**Chapter 26: Scalar Triple Product**

Entrancei academic team solved 51 questions with proper explanation of chapter-26 Scalar Triple Product. Theory and concepts which are used in chapter-26 Basic Concepts of Vector Algebra, Components of a Vector, Concept of Direction Cosines, Geometrical Interpretation of Scalar, Introduction of Product of Two Vectors, Introduction of Vector.

**Chapter 27: Direction Cosines and Direction Ratios**

Entrancei academic team solved 52 questions with step by step explanation of chapter-27 Direction Cosines and Direction Ratios. Theory and concepts which are used in chapter-27 Plane, Angle Between Two Lines, Angle Between Two Planes, Coplanarity of Two Lines, Direction Cosines and Direction Ratios of a Line, Distance of a Point from a Plane, Equation of a Line in Space, Equation of a Plane in Normal Form.

**Chapter 28: Straight Line in Space**

Academic team solved 137 questions with step by step explanation of chapter-28 Straight Line in Space. Theory and concepts which are used in chapter-28 Direction Cosines and Direction Ratios of a Line, Distance of a Point from a Plane, Equation of a Line in Space, Equation of a Plane in Normal Form.

**Chapter 29: The Plane**

Academic team solved 235 questions with step by step explanation of chapter-29 The Plane. Theory and concepts which are used in chapter-29 Equation of a Plane Passing Through Three Non Collinear Points, Equation of a Plane Perpendicular to a Given Vector and Passing Through a Given Point, Intercept Form of the Equation of a Plane.

**Chapter 30: Linear programming**

Entrancei academic team solved 133 questions with step by step explanation of chapter-30 Linear programming. Theory and concepts which are used in chapter-30 Graphical Method of Solving Linear Programming Problems, Introduction of Linear Programming, Linear Programming Problem and Its Mathematical Formulation.

**Chapter 31: Probability**

Academic team solved 269 questions with detail explanation of chapter-31 Probability. Theory and concepts which are used in chapter-31 Probability are Baye'S Theorem, Bernoulli Trials and Binomial Distribution, Conditional Probability, Independent Events, Introduction of Probability, Mean of a Random Variable.

**Chapter 32: Mean and Variance of a Random Variable**

Academic team solved 79 questions with detail explanation of chapter-32 Mean and Variance of a Random Variable. Theory and concepts which are used in chapter-32 Bernoulli Trials and Binomial Distribution, Conditional Probability, Independent Events, Introduction of Probability.

**Chapter 33: Binomial Distribution**

Entrancei academic team solved 141 questions with step by step explanation of chapter-33 Binomial Distribution. Theory and concepts which are used in chapter-33 Binomial Distribution are Baye's Theorem, Bernoulli Trials and Binomial Distribution, Conditional Probability, Independent Events, Introduction of Probability.

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