Table of Contents
Notes Of Mathematics Book 9th Class (Science Group)  2021
Notes Of Mathematics Book 9th Class is written by Dr. Karamat H. Dar and Prof. IrfanulHaq and this book is published by Carvan Book House, Lahore, Pakistan. This book consist of 302 pages and there are 17 units. Notes of Unit 1 and 3 are provided by Engr. Moin Latif. We are very thankful to him for providing these notes.
Definitions

Definitions by Amir Shehzad  Download PDF

Definitions by Bahadar Ali Khan  Download PDF
Unit 01: Matrix
Unit 02: Real and Complex Numbers
The following MCQs was send by Amir Shehzad. We are very thankful to him for sending these notes.

MCQs  Download PDF
Unit 03: Logarithms
These notes are prepared by Engr. Moin Latif. MCQs are made by Mr. Amir Shehzad

Solutions  Download PDF

MCQs  Download PDF
Unit 04 :Algebraic Expressions and Algebraic Formulas
In this unit, following topics has been covered:

Algebraic Expressions

Algebraic Formulas

Surds and their Application

Rationalization
The following notes of this chapter are provided by Mr. Adil Aslam

Unit 4  View Online  Download PDF
Unit 06: Algebraic Manipulation
In this unit, following topics has been covered:

Highest common factor and least common multiples

Basic operations on algebraic fractions

Square root of algebraic expression
There are total four exercises in unit 6. Notes of this chapter will be added soon.
Unit 07: Linear Equations and Inequalities
These notes are send by Mr. Malik Faisal Rafiq. We are very thankful to him for sending these notes.
Linear Equations: A linear equation is one unknown variable x is an equation of the form ax+b=0, where a,b∈R and a≠0.
Radical Equations: When the variable in an equation occurs under a radical, the equation is called radical equation.
Equation Involving Absolute Value: The absolute value of real number a denoted by a is defined asa={aif a≥0,−aif a<0.e.g. 6=6, 0=0, −3=3.
Defining inequalities: Let a,b be real numbers. Then a is greater than b if the difference a−b>0 and we denote this order relation by the inequality a>b. An equivalent statement is that b is less than a, symbolized by b<a.

Exercise 7.1  View Online  Download PDF

Exercise 7.2  View Online  Download PDF

Exercise 7.3  View Online  Download PDF
Unit 09: Introduction to Coordinate Geometry
After studying this unit, the students will be able to:

define coordinate geometry.

derive distance formula to calculate distance between two points given in Cartesian plane.

use distance formula to find distance between two given points.

use distance formula to show that given three (or more) points are colinear.

Use distance formula to show that the given three noncollinear points for

and equilateral triangle.

an isosceles triangle.

a right angled triangle.

a scalene triangle.


Use distance formula to show that given four noncollinear points form

a square,

a rectangle,

a parallelogram.


Recognize the formula to find the midpoint of the line joining two given points

Apply distance and mid point formulae to solve/verify different standard results related to geometry.
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Unit 12: Line Bisectors and Angle Bisectors
After studying this unit, the students will be able to:

prove that any point on the right bisector of a line segment is equidistant from its end points.

prove that any point equidistant from the end points of a line segment is on the right bisector of it.

prove that the right bisectors of the sides of a triangle are concurrent.
The following theorems was send by Bahadar Ali Khan. We are very thankful to him for sending these notes.

Important Theorems  Download PDF
Unit 15: Pythagoras’ Theorem
After studying this unit, the students will be able to:

Pythagoras theorem
The following Solutions & MCQs was send by Amir Shehzad. We are very thankful to him for sending these notes.

Solutions  Download PDF

MCQs  Download PDF
Unit 16: Theorem Related With Area
After studying this unit, the students will be able to:

prove that parallelograms on the same base and lying between the same parallel lines (or of the same altitude) are equal in area.

prove that parallelograms on equal bases and having the same altitude are equal in area.

prove that triangles on the same base and of the same altitude are equal in area.

prove that triangles on equal bases and of the same altitude are equal in area.
The following MCQs was send by Amir Shehzad. We are very thankful to him for sending these notes.

MCQs  Download PDF