**Chapter 1: Relations and Functions**

Shaalaa has a total of 101 questions are solved for this Chapter in Class 12 Maths. Chapters covered in Relations and 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 2: Inverse Trigonometric Functions**

Shaalaa has a total of 51 questions are solved for this Chapter in Class 12 Maths. Chapters 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 3: Matrices**

Shaalaa has a total of 111 questions are solved for this Chapter in Class 12 Maths. Chapters covered in 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 4: Determinants**

Shaalaa has a total of 101 questions are solved for this Chapter in Class 12 Maths. Chapters 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 5: Continuity and Differentiability**

Shaalaa has a total of 148 questions are solved for this Chapter in Class 12 Maths. Chapters covered in Continuity and 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 6: Application of Derivatives**

Shaalaa has a total of 167 questions are solved for this Chapter in Class 12 Maths. Chapters covered in Application of 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 7: Integrals**

Shaalaa has a total of 273 questions are solved for this Chapter in Class 12 Maths. Chapters covered in 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 8: Application of Integrals**

Shaalaa has a total of 40 questions are solved for this Chapter in Class 12 Maths. Chapters covered in Application of Integrals are Area Between Two Curves, Area of the Region Bounded by a Curve and a Line, Area Under Simple Curves

**Chapter 9: Differential Equations**

Shaalaa has a total of 118 questions are solved for this Chapter in Class 12 Maths. Chapters 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 10: Vector Algebra**

Shaalaa has a total of 76 questions are solved for this Chapter in Class 12 Maths. Chapters covered in Vector Algebra 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 11: Three Dimensional Geometry**

Shaalaa has a total of 78 questions are solved for this Chapter in Class 12 Maths. Chapters covered in Three Dimensional Geometry 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 12: Linear Programming**

Shaalaa has a total of 32 questions are solved for this Chapter in Class 12 Maths. Chapters 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 13: Probability**

Shaalaa has a total of 123 questions are solved for this Chapter in Class 12 Maths. Chapters 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

## NCERT Solutions for Class 12 Maths

Class 12 NCERT solutions answers all the questions given in the NCERT textbooks in a step-by-step process.
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