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Numbers System
Federal Board > Class 11 > Math (
Total Videos: 1130
)
All Chapters
Chapter 1: Numbers System
Chapter 2: Sets, Functions and Groups
Chapter 3: Matrices and Determinants
Chapter 4: Quadratic Equations
Chapter 5: Partial Fractions
Chapter 6: Sequences and Series
Chapter 7: Permutation, Combination and Probability
Chapter 8: Mathematical Inductions and Binomial Theorems
Chapter 9: Fundamentals of Trigonometry
Chapter 10: Trigonometric Identities Sum and Difference of Angles
Chapter 11: Trigonometric Functions and Their Graphs
Chapter 12: Application of Trigonometry
Chapter 13: Inverse Trigonometric Functions
Chapter 14: Solutions of Trigonometric Equations
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Chapter 1: Numbers System (
141 videos
)
  (
Practice Test
)
1.1: Introduction
Introduction to Real Numbers
Problem-Introduction to Real Numbers
1.2: Rational Numbers and Irrational Numbers(
Practice Test
)
Presenting Rational Numbers on Number Line
Problem-Decimal Representation of Rational Number
Representation of Irrational Number on Number Line
Problem-Representation of Irrational Number on Number line
Proving Square Root of Prime Number is Irrational Number
Problem-Proving Square Root of Prime Number is Irrational Number
1.3: Properties of Real Numbers(
Practice Test
)
Closure law of Rational Numbers Subtraction and Division
Problem-Closure Law of Rational Numbers
Commutative Law
Commutative law under Subtration and Division
Problem-Commutative Law
Associative Law
Associative law of Subtraction and Division
Problem-Associative Law
Problem 1: Associative Law
Additive Identity & Additive Inverse
Problem-Additive Identity & Additive Inverse
Problem 1: Additive Identity & Additive Inverse
Multiplicative Identity & Inverse
Problem-Multiplicative Identity & Inverse
Problem 1: Multiplicative Identity & Inverse
Distributive Law
Distributive Property of Multiplication over Subtraction
Problem-Distributive Law
Problem 1: Distributive Law
Problem 1: Distributive law of Multiplication over Subtraction
Trichotomy Property of Inequality
Problem-Trichotomy Property of Inequality
Problem 1: Trichotomy Property of Inequality
Reflexive And Symmetric Property of Equality
Problem-Reflexive And Symmetric Property of Equality
Transitive Property of Equality
Problem-Transitive Property of Equality
Problem 1: Transitive Property of Equality
Additive Property of Equality
Problem-Additive Property of Equality
Multiplicative Property of Equality
Problem-Multiplicative Property of Equality
Cancellation Property of Equality
Problem 1: Cancellation Property of Equality
Density Property
Problem-Density Property
Archimedian Property of Inequality
Problem-Transitive Property of Inequality
Problem 1: Transitive Property of Inequality
Additive Property of Inequality
Problem-Additive Property of Inequality
Multiplicative Property of Inequality
Problem 1: Multiplicative Property of Inequality
Inequality Multiplicative Inverse
Problem-Inequality Multiplicative Inverse
Indeterminate Form
Golden Rule of Fractions
Principle of Equality of Fractions
Rule for Quotient of Fractrions
1.4: Complex Numbers(
Practice Test
)
Complex Number Introduction
Problem-Complex Number Introduction
Problem 1: Complex Number Introduction
Definition of Complex Number
Problem-Definition of Complex Number
Conjugate of Complex Number
Problem 1: Conjugate of Complex Number
Problem 2: Conjugate of Complex Number
Problem-Conjugate of Complex Number
Equality of Complex Number
Problem 1: Equality of Complex Number
Problem-Equality of Complex Number
Properties of Complex Number
Problem 1: Properties of Complex Number
Problem-Properties of Complex Number
Reflexive & Symmetric Law of Complex Number
Problem 1: Reflexive & Symmetric Law of Complex Number
Problem-Reflexive & Symmetric Law of Complex Number
Transitive Law of Complex Number
Problem 1: Transitive Law of Complex Number
Problem-Transitive Law of Complex Number
Addition of Complex Number
Problem 1: Addition of Complex Number
Problem-Addition of Complex Number
Multiplication of Complex with Scalar Numbers
Problem 1: Multiplication of Complex with Scalar Numbers
Problem-Scalar Multiplication of Complex Numbers
Multiplication of Complex Numbers
Problem 1: Multiplication of Complex Numbers
Problem-Multiplication of Complex Numbers
Problem 1: Subtraction of Complex Numbers
Problem-Subtraction of Complex Numbers
Division of Complex Numbers
Problem 1: Division of Complex Numbers
Problem-Division of Complex Numbers
Division Property of Complex Numbers
Problem-Expressing complex number in standard form
Problem-Division Property of Complex Numbers
Commutative Property of Complex Numbers
Problem-Commutative Property of Complex Numbers
Associative Property of Complex Numbers
Problem-Associative Property of Complex Numbers
The Distributive Property of Complex Numbers
Problem-The Distributive Property of Complex Numbers
Additive Identity and Multiplicative Identity of Complex Numbers
Problem-Additive Identity and Multiplicative Identity of Complex Numb
Additive Inverse and Multiplicative Inverse of Complex Numbers
Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers
Solution of Simultaneous Linear Equations with Complex Co-efficients
Problem-Solution of Simultaneous Linear Equations with Complex Co-eff
Expression of the Polynomial P ( z ) as a Product of Linear Factors
Problem-Expression of the Polynomial P ( z ) as a Product of Linear F
Quadratic Equation of Complex Variables
Problem-Quadratic Equation of Complex Variables
1.5: The Real Line(
Practice Test
)
Presenting Rational Numbers on Number Line
Problem-Decimal Representation of Rational Number
Problem-Argand Diagram
Representation of Irrational Number on Number Line
Problem-Decimal Representation of Irrational Number
Problem-Modulus of Complex Number
Cartesian Coordinate System & Cartesian Plane
Problem 1: Cartesian Coordinate System & Cartesian Plane
1.6: Geometrical Representation of Complex Numbers(
Practice Test
)
Argand Diagram
Problem-Argand Diagram
The Order Relations
Problem-The Order Relations
Modulus of Complex Number
Problem-Modulus of Complex Number
Theorems on Complex Number
More on Theorems on Complex Numbers
Problem-Theorems on Complex Number
Vector Interpretation of Complex Numbers
Problem-Vector Interpretation of Complex Numbers
The Triangle Inequality
Problem-The Triangle Inequality
Polar Form of a Complex Number
Problem-Polar Form of a Complex Number
Problem2-Polar Form of a Complex Number
Properties of the Arguments
Problem-Properties of the Arguments
Formula for Finding the Principal Argument
Problem-Formula for Finding the Principal Argument
1.7: To Find Real and Imaginary Parts of ( x + i y ) ^n
Real and Imaginary parts of Expression of Power n
Problem-Real and Imaginary parts of Expression of Power n
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