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punjab-curriculum-and-textbook-board-pctb
10th-class
mathematics
Mathematics 10
National Book Foundation • 10th Class
Mathematics 10
Official curriculum textbook containing 13 chapters.
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Table of Contents (13 Chapters)
1
Chapter 1
Complex Numbers
7 Topics
Chapter 1: Complex Numbers - Introduction
Operations on Complex Numbers and Powers of i
Properties of Complex Numbers
Geometric Interpretation and Modulus
Exercise 1.1
Exercise 1.2
Real and Imaginary Parts and Exercise 1.3
2
Chapter 2
Quadratic Equations
10 Topics
Chapter 2: Quadratic Equations - Introduction
Solving Quadratic Equations
Equations Reducible to Quadratic Form
3
Chapter 3
Matrices And Determinants
9 Topics
Chapter 3: Matrices And Determinants - Introduction
Exercise 3.1
Addition, Subtraction and Scalar Multiplication
4
Chapter 4
Linear and Quadratic Inequalities
9 Topics
Chapter 4: Linear and Quadratic Inequalities - Introduction
Properties of Inequalities and Solving Linear Inequalities
Solving Quadratic Inequalities
5
Chapter 5
Algebraic Fractions
7 Topics
Chapter 5: Algebraic Fractions - Introduction
Polynomials and Rational Expressions
Evaluation of Algebraic Expressions and Exercise 5.1
6
Chapter 6
Functions And Graphs
9 Topics
Chapter 6: Functions And Graphs - Introduction
Functions and Types of Functions
Exercise 6.1
7
Chapter 7
Vectors in Plane
9 Topics
Chapter 7: Vectors in Plane - Introduction
Geometrical Representation, Position Vector and Rectangular Coordinate System
Multiplication by Scalar and Translation by Vector
8
Chapter 8
Application of Trigonometry
18 Topics
Application of Trigonometry
Quadrantal Angles
Signs of Trigonometric Ratios in Different Quadrants
9
Chapter 9
Chord and Arcs of a Circle
10 Topics
Introduction to Chord and Arcs of a Circle
Theorem 9.1: One and Only One Circle Through Three Non-Collinear Points
Exercise 9.1
10
Chapter 10
Tangents and Angles of a Circle
8 Topics
Introduction to Tangents and Angles of a Circle
Theorems 10.3 to 10.5: Tangents and Circles
Theorem 10.6: Alternate Segment Theorem
11
Chapter 11
Practical Geometry of Circles
7 Topics
Introduction to Practical Geometry of Circles
Construction of Circles and Arcs
Exercise 11.1
12
Chapter 12
Basic Statistics
11 Topics
Basic Statistics
Cumulative Frequency Curve (Ogive)
Exercise 12.1
20
Chapter 20
لغات و محاورات
4 Topics
لغات و محاورات - حصہ اول
لغات و محاورات - حصہ دوم
لغات - اسباق و غزلیات
Exercise 2.2
Nature of Roots and Exercise 2.3
Roots and Coefficients
Exercise 2.4
Simultaneous Equations and Exercise 2.5
Real Problems and Exercise 2.6
Miscellaneous Exercise 2
Exercise 3.2
Determinants and Singular/Non-Singular Matrices
Inverse of a Matrix
Matrix Inversion Method and Cramer's Rule
Exercise 3.3
Miscellaneous Exercise 3
Solving Systems of Linear Inequalities
Exercise 4.1
Absolute Value Equations and Inequalities
Exercise 4.2
Graphing Systems of Linear Inequalities
Miscellaneous Exercise 4
Operations on Algebraic Fractions
Exercise 5.2
Solving Rational Equations
Miscellaneous Exercise 5
Operations on Functions and Inverse of a Function
Exercise 6.2
Graphs of Algebraic Functions
Quadratic, Cubic, Reciprocal and Exponential Functions
Exercise 6.3
Miscellaneous Exercise 6
Addition and Subtraction of Vectors
Exercise 7.1
Rectangular Components of a Vector
Exercise 7.2
Ratio Formula and Application to Geometry
I have Learnt and Miscellaneous Exercise 7
Finding Trigonometric Ratios between 90° and 180°
Exercise 8.1
Exercise 8.2
Law of Sines
Law of Tangents
When Law of Sines and Law of Cosines are Used
Half Angle Formulae
Exercise 8.3 (Law of Cosines & Half Angles)
Area of Triangular Region
Exercise 8.4 (Area of Triangles)
Circles Connected with Triangles
Exercise 8.5 (Circles Connected with Triangles)
Trigonometric Problems in Three Dimensions
Exercise 8.6 (3D Trigonometry)
Miscellaneous Exercise-8
Theorems 9.2 and 9.3: Perpendicular from Centre to Chord
Theorems 9.4 and 9.5: Chords Equidistant from Centre
Arcs of Circles
Theorems 9.6 to 9.9: Arcs and Chords
Exercise 9.3
Exercise 9.4: Arc Length and Sector Area
Miscellaneous Exercise 9
Exercise 10.1
Angle in a Segment of a Circle
Theorems 10.7 to 10.12: Angles in a Circle
Exercise 10.2
Miscellaneous Exercise 10
Construction of Tangents to a Circle and an Arc
Common Tangents to Two Circles
Exercise 11.2
Miscellaneous Exercise 11
Box and Whisker Plot Correlation
Construction of Scatter Diagram, Lines of Best Fit and Interpretation of Data
Exercise 12.2
Using Mean and Standard Deviation to Compare Data Sets
Exercise 12.3
Probability of Combined Events
Exercise 12.4
Review Exercise 12
امتحانی ہدایات و مشق