CBSE Grade 12 Mathematics
Relations and Functions
Inverse Trigonometric Functions
Matrices
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8Concept, Notation, Order, Equality
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9Types of Matrices, Zero and Identity Matrix
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10Transpose of a Matrix
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11Symmetric and Skew Symmetric Matrices
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12Operation on Matrices: Addition Multiplication and Multiplication with a Scalar
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13Simple Properties of Addition, Multiplication and Scalar Multiplication
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14Commutativity of Multiplication of Matrices
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15Existence of Non-Zero Matrices
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16Concept of Elementary Row and Column Operations
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17Invertible Matrices
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18Uniqueness of Inverse
Determinants
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19Determinant of a Square Matrix
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20Properties of Determinants
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21Minors, Co-Factors
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22Applications of Determinants in Finding the Area of a Triangle
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23Adjoint and Inverse of a Square Matrix
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24Consistency, Inconsistency and Number of Solutions of System of Linear Equations
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25Solving System of Linear Equations in two or three Variables
Continuity and Differentiability
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26Continuity and Differentiability
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27Derivative of Composite Functions
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28Chain Rule, Derivative of Inverse Trigonometric Functions
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29Derivative of Implicit Functions
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30Concept of Exponential and Logarithmic Functions
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31Derivatives of Logarithmic and Exponential Functions
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32Logarithmic Differentiation
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33Derivative of Functions Expressed in Parametric Forms
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34Second Order Derivatives
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35Rolle’s and Lagrange's Mean Value Theorems
Applications of Derivatives
Integrals
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42Integration as Inverse Process of Differentiation
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43Integration of a Variety of Functions by Substitution
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44Integration by Partial Fractions
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45Integration by Parts
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46Evaluation of Simple Integrals
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47Definite Integrals as a Limit of a Sum
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48Fundamental Theorem of Calculus
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49Basic Properties of Definite Integrals and Evaluation of Definite Integrals
Applications of the Integrals
Differential Equations
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52Definition, Order and Degree
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53General and Particular Solutions of a Differential Equation
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54Formation of Differential Equation Whose General Solution is Given
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55Solution of Differential Equations by Method of Separation of Variables
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56Solutions of Homogeneous Differential Equations of First Order and First Degree
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57Solutions of Linear Differential Equation
Vectors
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58Vectors and Scalars
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59Magnitude and Direction of a Vector
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60Direction Cosines and Direction Ratios of a Vector
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61Types of Vectors
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62Position Vector of a Point, Negative of a Vector
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63Components of a Vector
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64Addition of Vectors, Multiplication of a Vector by a Scalar
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65Position Vector of a Point Dividing a Line Segment in a Given Ratio
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66Scalar Product of Vectors
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67Vector Product of Vectors
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68Scalar Triple Product of Vectors
Three - Dimensional Geometry
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69Direction Cosines and Direction Ratios of a Line Joining two Points
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70Cartesian Equation and Vector Equation of a Line
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71Coplanar and Skew Lines, Shortest Distance Between two Lines
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72Cartesian and Vector Equation of a Plane
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73Angle Between : Two Lines, Two Planes, A Line and a Plane
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74Distance of a Point From a Plane
Linear Programming
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75Introduction, Related Terminology
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76Different Types of Linear Programming (L.P.) Problems
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77Mathematical Formulation of L.P. Problems
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78Graphical Method of Solution for Problems in two Variables
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79Feasible and Infeasible Regions
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80Feasible and Infeasible Solutions
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81Optimal Feasible Solutions
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CBSE Grade 12 Mathematics
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