Solutions for Mathematics for Class 12 (Set of 2 Volume)
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RD Sharma Solutions for Class 12 Maths
Given below is chapter wise list for RD Sharma Solutions for Class 12 Maths. Select any chapter number to view solutions.
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Chapters covered in RD Sharma Solutions for Class 12 Maths
Chapter 1: Relations
Shaalaa has a total of 110 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Relations are Composition of Functions and Invertible Function, Concept of Binary Operations, Introduction of Relations and Functions, Inverse of a Function, Types of Functions, Types of Relations
Chapter 2: Functions
Shaalaa has a total of 214 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Functions are Composition of Functions and Invertible Function, Concept of Binary Operations, Introduction of Relations and Functions, Inverse of a Function, Types of Functions, Types of Relations
Chapter 3: Binary Operations
Shaalaa has a total of 135 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Binary Operations are Composition of Functions and Invertible Function, Concept of Binary Operations, Introduction of Relations and Functions, Inverse of a Function, Types of Functions, Types of Relations
Chapter 4: Inverse Trigonometric Functions
Shaalaa has a total of 300 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Inverse Trigonometric Functions are Basic Concepts of Trigonometric Functions, Graphs of Inverse Trigonometric Functions, Inverse Trigonometric Functions - Principal Value Branch, Inverse Trigonometric Functions (Simplification and Examples), Properties of Inverse Trigonometric Functions
Chapter 5: Algebra of Matrices
Shaalaa has a total of 314 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Algebra of Matrices are Addition of Matrices, Concept of Transpose of a Matrix, Elementary Operation (Transformation) of a Matrix, Equality of Matrices, Introduction of Matrices, Introduction of Operations on Matrices, Inverse of a Matrix by 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, Properties of Matrix Addition, Properties of Multiplication of Matrices, Properties of Scalar Multiplication of a Matrix, Properties of Transpose of the Matrices, Subtraction of Matrices, Symmetric and Skew Symmetric Matrices, Types of Matrices
Chapter 6: Determinants
Shaalaa has a total of 258 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Determinants are Adjoint and Inverse of a Matrix, Applications of Determinants and Matrices, Area of a Triangle, Determinant of a Matrix of Order 3 × 3, Determinant of a Square Matrix, Determinants of Matrix of Order One and Two, Elementary Transformations, Introduction of Determinant, Minors and Co-factors, Properties of Determinants, Rule A=KB
Chapter 7: Adjoint and Inverse of a Matrix
Shaalaa has a total of 132 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Adjoint and Inverse of a Matrix are Adjoint and Inverse of a Matrix, Applications of Determinants and Matrices, Area of a Triangle, Determinant of a Matrix of Order 3 × 3, Determinant of a Square Matrix, Determinants of Matrix of Order One and Two, Elementary Transformations, Introduction of Determinant, Minors and Co-factors, Properties of Determinants, Rule A=KB
Chapter 8: Solution of Simultaneous Linear Equations
Shaalaa has a total of 79 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Solution of Simultaneous Linear Equations are Adjoint and Inverse of a Matrix, Applications of Determinants and Matrices, Area of a Triangle, Determinant of a Matrix of Order 3 × 3, Determinant of a Square Matrix, Determinants of Matrix of Order One and Two, Elementary Transformations, Introduction of Determinant, Minors and Co-factors, Properties of Determinants, Rule A=KB
Chapter 9: Continuity
Shaalaa has a total of 154 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Continuity are Algebra of Continuous Functions, Concept of Continuity, Concept of Differentiability, Continuous Function of Point, Derivative - Exponential and Log, Derivatives of Composite Functions - Chain Rule, Derivatives of Functions in Parametric Forms, Derivatives of Implicit Functions, Derivatives of Inverse Trigonometric Functions, Exponential and Logarithmic Functions, Higher Order Derivative, Infinite Series, Logarithmic Differentiation, Mean Value Theorem, Proof Derivative X^n Sin Cos Tan, Second Order Derivative
Chapter 10: Differentiability
Shaalaa has a total of 62 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Differentiability are Algebra of Continuous Functions, Concept of Continuity, Concept of Differentiability, Continuous Function of Point, Derivative - Exponential and Log, Derivatives of Composite Functions - Chain Rule, Derivatives of Functions in Parametric Forms, Derivatives of Implicit Functions, Derivatives of Inverse Trigonometric Functions, Exponential and Logarithmic Functions, Higher Order Derivative, Infinite Series, Logarithmic Differentiation, Mean Value Theorem, Proof Derivative X^n Sin Cos Tan, Second Order Derivative
Chapter 11: Differentiation
Shaalaa has a total of 354 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Differentiation are Approximations, Graph of Maxima and Minima, Increasing and Decreasing Functions, Introduction to Applications of Derivatives, Maxima and Minima, Maximum and Minimum Values of a Function in a Closed Interval, Rate of Change of Bodies Or Quantities, Simple Problems on Applications of Derivatives, Tangents and Normals
Chapter 12: Higher Order Derivatives
Shaalaa has a total of 95 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Higher Order Derivatives are Approximations, Graph of Maxima and Minima, Increasing and Decreasing Functions, Introduction to Applications of Derivatives, Maxima and Minima, Maximum and Minimum Values of a Function in a Closed Interval, Rate of Change of Bodies Or Quantities, Simple Problems on Applications of Derivatives, Tangents and Normals
Chapter 13: Derivative as a Rate Measurer
Shaalaa has a total of 79 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Derivative as a Rate Measurer are Approximations, Graph of Maxima and Minima, Increasing and Decreasing Functions, Introduction to Applications of Derivatives, Maxima and Minima, Maximum and Minimum Values of a Function in a Closed Interval, Rate of Change of Bodies Or Quantities, Simple Problems on Applications of Derivatives, Tangents and Normals
Chapter 14: Differentials, Errors and Approximations
Shaalaa has a total of 62 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Differentials, Errors and Approximations are Approximations, Graph of Maxima and Minima, Increasing and Decreasing Functions, Introduction to Applications of Derivatives, Maxima and Minima, Maximum and Minimum Values of a Function in a Closed Interval, Rate of Change of Bodies Or Quantities, Simple Problems on Applications of Derivatives, Tangents and Normals
Chapter 15: Mean Value Theorems
Shaalaa has a total of 81 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Mean Value Theorems are Approximations, Graph of Maxima and Minima, Increasing and Decreasing Functions, Introduction to Applications of Derivatives, Maxima and Minima, Maximum and Minimum Values of a Function in a Closed Interval, Rate of Change of Bodies Or Quantities, Simple Problems on Applications of Derivatives, Tangents and Normals
Chapter 16: Tangents and Normals
Shaalaa has a total of 147 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Tangents and Normals are Approximations, Graph of Maxima and Minima, Increasing and Decreasing Functions, Introduction to Applications of Derivatives, Maxima and Minima, Maximum and Minimum Values of a Function in a Closed Interval, Rate of Change of Bodies Or Quantities, Simple Problems on Applications of Derivatives, Tangents and Normals
Chapter 17: Increasing and Decreasing Functions
Shaalaa has a total of 122 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Increasing and Decreasing Functions are Approximations, Graph of Maxima and Minima, Increasing and Decreasing Functions, Introduction to Applications of Derivatives, Maxima and Minima, Maximum and Minimum Values of a Function in a Closed Interval, Rate of Change of Bodies Or Quantities, Simple Problems on Applications of Derivatives, Tangents and Normals
Chapter 18: Maxima and Minima
Shaalaa has a total of 138 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Maxima and Minima are Approximations, Graph of Maxima and Minima, Increasing and Decreasing Functions, Introduction to Applications of Derivatives, Maxima and Minima, Maximum and Minimum Values of a Function in a Closed Interval, Rate of Change of Bodies Or Quantities, Simple Problems on Applications of Derivatives, Tangents and Normals
Chapter 19: Indefinite Integrals
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Shaalaa has a total of 863 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Indefinite Integrals are Comparison Between Differentiation and Integration, Definite Integral as the Limit of a Sum, Definite Integrals Problems, Evaluation of Definite Integrals by Substitution, Evaluation of Simple Integrals of the Following Types and Problems, 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, Integration Using Trigonometric Identities, Introduction of Integrals, Methods of Integration - Integration by Parts, Methods of Integration - Integration by Substitution, Methods of Integration - Integration Using Partial Fractions, Properties of Definite Integrals, Properties of Indefinite Integral
Chapter 20: Definite Integrals
Shaalaa has a total of 416 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Definite Integrals are Comparison Between Differentiation and Integration, Definite Integral as the Limit of a Sum, Definite Integrals Problems, Evaluation of Definite Integrals by Substitution, Evaluation of Simple Integrals of the Following Types and Problems, 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, Integration Using Trigonometric Identities, Introduction of Integrals, Methods of Integration - Integration by Parts, Methods of Integration - Integration by Substitution, Methods of Integration - Integration Using Partial Fractions, Properties of Definite Integrals, Properties of Indefinite Integral
Chapter 21: Areas of Bounded Regions
Shaalaa has a total of 124 questions with solutions for this chapter in Class 12 Maths. Concepts covered in 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
Shaalaa has a total of 548 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Differential Equations are Basic Concepts of Differential Equation, Differential Equations with Variables Separable, Formation of a Differential Equation Whose General Solution is Given, General and Particular Solutions of a Differential Equation, Homogeneous Differential Equations, Linear Differential Equations, Order and Degree of a Differential Equation, Procedure to Form a Differential Equation that Will Represent a Given Family of Curves, Solutions of Linear Differential Equation
Chapter 23: Algebra of Vectors
Shaalaa has a total of 188 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Algebra of Vectors 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, Multiplication of a Vector by a Scalar, Position Vector of a Point Dividing a Line Segment in a Given Ratio, Projection of a Vector on a Line, Properties of Vector Addition, Scalar (Or Dot) Product of Two Vectors, Scalar Triple Product of Vectors, Section formula, Types of Vectors, Vector Joining Two Points, Vector (Or Cross) Product of Two Vectors, Vectors Examples and Solutions
Chapter 24: Scalar Or Dot Product
Shaalaa has a total of 144 questions with solutions for this chapter in Class 12 Maths. Concepts covered in 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, 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, Projection of a Vector on a Line, Properties of Vector Addition, Scalar (Or Dot) Product of Two Vectors, Scalar Triple Product of Vectors, Section formula, Types of Vectors, Vector Joining Two Points, Vector (Or Cross) Product of Two Vectors, Vectors Examples and Solutions
Chapter 25: Vector or Cross Product
Shaalaa has a total of 93 questions with solutions for this chapter in Class 12 Maths. 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, Multiplication of a Vector by a Scalar, Position Vector of a Point Dividing a Line Segment in a Given Ratio, Projection of a Vector on a Line, Properties of Vector Addition, Scalar (Or Dot) Product of Two Vectors, Scalar Triple Product of Vectors, Section formula, Types of Vectors, Vector Joining Two Points, Vector (Or Cross) Product of Two Vectors, Vectors Examples and Solutions
Chapter 26: Scalar Triple Product
Shaalaa has a total of 51 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Scalar Triple 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, Multiplication of a Vector by a Scalar, Position Vector of a Point Dividing a Line Segment in a Given Ratio, Projection of a Vector on a Line, Properties of Vector Addition, Scalar (Or Dot) Product of Two Vectors, Scalar Triple Product of Vectors, Section formula, Types of Vectors, Vector Joining Two Points, Vector (Or Cross) Product of Two Vectors, Vectors Examples and Solutions
Chapter 27: Direction Cosines and Direction Ratios
Shaalaa has a total of 52 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Direction Cosines and Direction Ratios are Angle Between Line and a 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, 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, Introduction of Three Dimensional Geometry, Plane Passing Through the Intersection of Two Given Planes, Relation Between Direction Ratio and Direction Cosines, Shortest Distance Between Two Lines, Three - Dimensional Geometry Examples and Solutions, Vector and Cartesian Equation of a Plane
Chapter 28: Straight Line in Space
Shaalaa has a total of 137 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Straight Line in Space are Angle Between Line and a 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, 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, Introduction of Three Dimensional Geometry, Plane Passing Through the Intersection of Two Given Planes, Relation Between Direction Ratio and Direction Cosines, Shortest Distance Between Two Lines, Three - Dimensional Geometry Examples and Solutions, Vector and Cartesian Equation of a Plane
Chapter 29: The Plane
Shaalaa has a total of 235 questions with solutions for this chapter in Class 12 Maths. Concepts covered in The Plane are Angle Between Line and a 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, 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, Introduction of Three Dimensional Geometry, Plane Passing Through the Intersection of Two Given Planes, Relation Between Direction Ratio and Direction Cosines, Shortest Distance Between Two Lines, Three - Dimensional Geometry Examples and Solutions, Vector and Cartesian Equation of a Plane
Chapter 30: Linear programming
Shaalaa has a total of 133 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Linear programming are Different Types of Linear Programming Problems, Graphical Method of Solving Linear Programming Problems, Introduction of Linear Programming, Linear Programming Problem and Its Mathematical Formulation, Mathematical Formulation of Linear Programming Problem
Chapter 31: Probability
Shaalaa has a total of 269 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Probability are Baye'S Theorem, Bernoulli Trials and Binomial Distribution, Conditional Probability, Independent Events, Introduction of Probability, Mean of a Random Variable, Multiplication Theorem on Probability, Probability Examples and Solutions, Properties of Conditional Probability, Random Variables and Its Probability Distributions, Variance of a Random Variable
Chapter 32: Mean and Variance of a Random Variable
Shaalaa has a total of 79 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Mean and Variance of a Random Variable are Baye'S Theorem, Bernoulli Trials and Binomial Distribution, Conditional Probability, Independent Events, Introduction of Probability, Mean of a Random Variable, Multiplication Theorem on Probability, Probability Examples and Solutions, Properties of Conditional Probability, Random Variables and Its Probability Distributions, Variance of a Random Variable
Chapter 33: Binomial Distribution
Shaalaa has a total of 141 questions with solutions for this chapter in Class 12 Maths. Concepts covered in Binomial Distribution are Baye'S Theorem, Bernoulli Trials and Binomial Distribution, Conditional Probability, Independent Events, Introduction of Probability, Mean of a Random Variable, Multiplication Theorem on Probability, Probability Examples and Solutions, Properties of Conditional Probability, Random Variables and Its Probability Distributions, Variance of a Random Variable
RD Sharma Solutions for Class 12 Maths
Class 12 RD Sharma solutions answers all the questions given in the RD Sharma textbooks in a step-by-step process. Our Maths tutors have helped us put together this for our Class 12 Students. The solutions on Shaalaa will help you solve all the RD Sharma Class 12 Mathematics questions without any problems. Every chapter has been broken down systematically for the students, which gives fast learning and easy retention.
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Our RD Sharma solutions for Class 12 Maths cover everything from Relations, Functions, Binary Operations, 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, Binomial Distribution and the other topics. Yes, these are the best RD Sharma 12 Maths solution options on the market. You get to fully prepare for the exam in a reliable and comprehensive manner. You just have to check it out for yourself and the experience can be really impressive.
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