6 MARKS IMPORTANT QUESTION OF 12TH BOARD EXAM 2024 PART 1
6 MARKS IMPORTANT QUESTION OF 12TH BOARD EXAM 2024 PART 1
CLASS 12TH MATH PUNJAB BOARD
MCQ OF CLASS 12TH PUNJAB BOARD
MCQ OF CLASS 12TH CBSE BOARD
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Chapter 1: Relations and Functions
Introduction
Types of Relations Reflexive relations
symmetric relations transitive relations
Types of Functions
one one function onto functions
one one and onto functions
Injective functions surjective functions Bijective functions
Composition of Functions and Invertible function
Chapter 2: Inverse Trigonometric Functions
Introduction and Basic Concepts or Inverse Trigonometric Functions
Properties of Inverse Trigonometric Functions
Chapter 3: Matrices
Introduction Matrix
Types of Matrices Operation on Matrices
Transpose of a Matrix
Symmetric and Skew Symmetric Matrices
Invertible Matrices
Chapter 4: Determinants
Introduction
Determinant
Properties of Determinants Area of a Triangle
Minors and Cofactors
Adjoint and Inverse of a Matrix
Applications of Determinants and Matrices
Chapter 5: Continuity and Differentiability
Introduction to Continuity and Differentiability
Exponential and Logarithmic Functions
Logarithmic Differentiation
Derivatives of Functions in Parametric Forms
Second Order Derivative
Chapter 6: Applications of Derivatives
Introduction
Rate of Change of Quantities
Increasing and Decreasing Functions
Approximation Maxima and Minima
Chapter 7: Integrals
Introduction to Integral Calculus
Integration as an Inverse Process of Differentiation
Methods of Integration
Integrals of Some Particular Functions
Integration by Partial Fractions Integration by Parts
Definite Integral
Fundamental Theorem of Calculus
Evolution of Definite Integrals by Substitution
Some Properties of Definite Integrals
Chapter 8: Application of Integrals
Introduction
Area under Simple Curves
Area Between Two Curves
Chapter 9: Differential Equations
Introduction to Differential Equations
Basic Concepts
General and Particular Solutions of a Differential Equation
Formation of a Differential Equation whose General Solution is given
Methods of Solving First Order, First Degree Differential Equations
Chapter 10: Vector Algebra
Introduction to Vectors Some Basic Concepts
Types of Vectors Addition of Vectors
Multiplication of a Vector by a Scalar
Product of Two Vectors
Chapter 11: Three Dimensional Geometry
Introduction
Direction Cosines and Direction Ratios of a Line
Equation of a Line in Space
Angle between Two Lines
Short Distance between Two Lines
Plane
Coplanarity of Two Lines
Distance of a Point from a Plane
Chapter 12: Linear Programming
Introduction to Linear Programming
Linear Programming Problem and its Mathematical Formulation
Different Types of Linear Programming Problems
Chapter 13: Probability
Probability Introduction
Conditional Probability
Multiplication Theorem on Probability
Independent Events
Bayes’ Theorem Random Variables and its Probability
For Notes WhatsApp on 9478555986
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