RS Aggarwal Class 8 Mathematics Solutions for Chapter-22 Introduction to Coordinate Geometry

RS Aggarwal solutions class 8 maths chapter 22 is provided with step by step explanations. These are very popular among the students of class 8. Introduction to coordinate geometry solutions are convenient to complete your homework and prepare well for exams quickly. All questions and answers of RS Aggarwal class 8 maths ch 22 are given here for free and are prepared by experts with 100% accuracy. The maths’s RS Aggarwal solutions class 8 chapter 22 can be downloaded from the official website of Vedantu in a PDF format. If you have RS Aggarwal class 8 chapter 22 solution in PDF format, you can download and print to access it easily. 

RS Aggarwal Chapter 22 Class 8 Introduction to Coordinate Geometry

RS Aggarwal class 8 chapter 22 introduction to coordinate geometry is based on analytic geometry that uses coordinate points to find the distance between any two points, get the midpoint of a line, divide lines, and calculate a triangle area in the cartesian plane, and more. Certain key terms that are used in cartesian geometry include:

Coordinate Geometry: It is a study of geometry where coordinates are used to define a point. Coordinate helps to find the exact position of a point in a coordinate plane. 

Coordinate and Coordinate Plane: A cartesian plane (or a 2D plane) is divided into 4 quadrants where 2 axes are perpendicular to each other that are x-axis and y-axis where the two lines XOX' and YOY' are perpendicular to each other. 

XOX' represents the x-axis which is horizontal to the cartesian plane

YOY' represents the y axis which is vertical to the cartesian plane

Quadrants: The four quadrants which are present in the cartesian plane are as follows: 

• Quadrant 1- XOY, sign (+,+)

• Quadrant 2- YOX' , sign (-,+) 

• Quadrant 3- X'OY' , sign (-,-)

• Quadrant 4- Y'OX, sign (+,-)

Ordered Pair - Any point in the cartesian plane is represented in the form of (x,y) called an ordered pair of coordinates, where x is present in the x-coordinate called as abscissa of the point, and y is present at y-coordinate known as ordinate of the point. 

Origin - The point at which both the axis intersects with each other is known as the origin. It is the reference point with which the distance of a point on the x-axis and y-axis are measured.

Equation of A Line In The Cartesian Plane

An equation of a line can be represented in various ways such as:

1. The General Form of A Line: The general form of a line can be written as Ax+By+C= 0

2. Slope-Intercept Form: If x and y are coordinates of a point from where a line passes with am being the slope of a line which c is the y-intercept, then the equation of a line is written as: 

y = mx+c

3. Intercept Form: If x and y are the x-intercept and y-intercept of a line, then the equation of a line  is written as

y = mx+c

4. The Slope of a Line: Let the general form of a line is Ax+By+C= 0, the slope can be found by converting the general form of a line to slope-intercept form. 

Ax+By+C= 0

or, By= -Ax -C

or, y = -A/B x - C/ B

Comparing this equation with the slope-intercept equation

m= -A/B

All the Exercise questions with solutions in Chapter-22 Introduction to Coordinate Geometry Are given below:

• Exercise 22.1

• Exercise 22.2

The Pattern of Questions in RS Aggarwal Chapter 22, Introduction to Coordinate Geometry

Here is a look into the pattern of questions from the chapter:

• There are two exercises, exercise 22A and exercise 22B discussed in RS Aggarwal Class 8 Mathematics Solutions for Chapter-22, that is, Introduction to Coordinate Geometry.

• Exercise 22A contains 13 questions on introduction to coordinate geometry. These questions are based on general knowledge of the concepts of the chapter and on plotting points on a graph.

• Questions where the students need to specify the abscissa and ordinate of the given coordinates are also included in RS Aggarwal Class 8 Mathematics Solutions for Chapter-22 Introduction to Coordinate Geometry.

• The students will also be asked to plot the points on a graph and observe the results. Through this activity, the students will see how straight lines and polygons are formed on the graph.

• Exercise 22B contains three multiple-choice questions, in which the coordinates of a point are given to the students and they have to identify that in which quadrant does these points lie.

Important Questions from CBSE Class 8 Chapter 22: Introduction to Coordinate Geometry

The important concepts that students should definitely study for CBSE Class 8 Chapter 22, that is, Introduction to coordinate geometry are:

• What is a Plane?

• What are coordinates?

• What is a coordinate plane?

• What are quadrants?

• What is the origin?

• What are abscissa and ordinate?

• What is coordinate geometry?

• How to plot graphs?

• How to interpret the results of a graph?

These concepts are very important for the students of Class 8 as they will form the base of the chapter that will help them in their higher classes and also during the preparation of competitive exams.

Benefits of RS Aggarwal Class 8 Mathematics Solutions for Chapter-22 Introduction to Coordinate Geometry

The benefits of RS Aggarwal Class 8 Mathematics Solutions for Chapter-22 Introduction to Coordinate Geometry are:

• RS Aggarwal Class 8 Mathematics Solutions for Chapter-22 Introduction to Coordinate Geometry will help you build a strong foundation of the concepts of coordinate geometry.

• The solutions to RS Aggarwal Class 8 Chapter 22 are created by the subject experts with respect to the latest CBSE Class 8 Maths syllabus.

• These solutions will help the students in exam preparation.

• The solutions will build confidence in students for attempting any questions that can be asked during the examination.

• The students will also be able to deal with plotting and interpreting the results of a graph.

• These solutions are absolutely free for the students.

• These solutions will act as a mode of revision of the concepts and formulae for the students.

Preparation Tips For Rs Aggarwal Class 8 Solutions Chapter 22

• While practising coordinate geometry problems, write down the formulas in a different notebook that you can overlook daily and memorise them.

• You must draw figures for every single problem for better clarification.

• Solve all the textbook problems and RS Aggarwal class 8 solutions chapter 22 for maximum practice that will help you solve any question you get in the exams. 

• Memorise the signs of the quadrants which will help you solve problems instantly of RS Aggarwal class 8 chapter 22

• Read the question carefully before solving the problem, which will save you time.