Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Introduction to Graphs - Exercise 27.1
Introduction to Graphs - Exercise 27.1 | Mathematics (Maths) Class 8 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
1. Plot the points (5, 0), (5, 1), (5, 8). Do they lie on a line? What is your observation?
Solution:
Take a point O on the graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on the x-axis and y-axis 1 cm represents 1 unit.
To plot point (5, 0), we start from the origin O and move 5 cm along X - axis. The point
we arrive at is point (5, 0).
To plot point (5, 1), we move 5 cm along X - axis and 1 cm along Y - axis. The point we
arrive at is point (5, 1).
To plot point (5, 8), we move 5 cm along X - axis and 8 cm along Y - axis. The point we
arrive at is point (5, 8).
From the above graph, we observe that all points are having same X – coordinates, it can
be seen that the points lie on a line parallel to the y-axis. Hence all points lie on the same
line.
2. Plot the points (2, 8), (7, 8) and (12, 8). Join these points in pairs. Do they lie on a
line? What do you observe?
Solution:
Take a point O on the graph paper and draw the horizontal and vertical lines OX and OY
Page 2
1. Plot the points (5, 0), (5, 1), (5, 8). Do they lie on a line? What is your observation?
Solution:
Take a point O on the graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on the x-axis and y-axis 1 cm represents 1 unit.
To plot point (5, 0), we start from the origin O and move 5 cm along X - axis. The point
we arrive at is point (5, 0).
To plot point (5, 1), we move 5 cm along X - axis and 1 cm along Y - axis. The point we
arrive at is point (5, 1).
To plot point (5, 8), we move 5 cm along X - axis and 8 cm along Y - axis. The point we
arrive at is point (5, 8).
From the above graph, we observe that all points are having same X – coordinates, it can
be seen that the points lie on a line parallel to the y-axis. Hence all points lie on the same
line.
2. Plot the points (2, 8), (7, 8) and (12, 8). Join these points in pairs. Do they lie on a
line? What do you observe?
Solution:
Take a point O on the graph paper and draw the horizontal and vertical lines OX and OY
respectively.
Then, let on the x-axis and y axis 1 cm represents 1 unit.
In order to plot point (2, 8), we start from the origin O and move 8 cm along X - axis. The
point we arrive at is (2, 8).
To plot point (7, 8), we move 7 cm along X - axis and 8 cm along Y - axis. The point we
arrive at is (7, 8).
To plot point (12, 8), we move 12 cm along X - axis and 8 cm along Y - axis. The point
we arrive at is (12, 8).
From the above graph, we observe that all points are having same Y – coordinates, it can
be seen that the points lie on a line parallel to the x-axis. Hence all points lie on the same
line.
3. Locate the points :
(i) (1, 1), (1, 2), (1, 3), (1, 4)
(ii) (2, 1), (2, 2), (2, 3), (2, 4)
(iii) (1, 3), (2, 3), (3, 3), (4, 3)
(iv) (1, 4), (2, 4), (3, 4), (4, 4,)
Solution:
(i) (1, 1), (1, 2), (1, 3), (1, 4)
To plot these points,
Take a point O on a graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on x-axis and y-axis 1 cm represents 1 unit.
Page 3
1. Plot the points (5, 0), (5, 1), (5, 8). Do they lie on a line? What is your observation?
Solution:
Take a point O on the graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on the x-axis and y-axis 1 cm represents 1 unit.
To plot point (5, 0), we start from the origin O and move 5 cm along X - axis. The point
we arrive at is point (5, 0).
To plot point (5, 1), we move 5 cm along X - axis and 1 cm along Y - axis. The point we
arrive at is point (5, 1).
To plot point (5, 8), we move 5 cm along X - axis and 8 cm along Y - axis. The point we
arrive at is point (5, 8).
From the above graph, we observe that all points are having same X – coordinates, it can
be seen that the points lie on a line parallel to the y-axis. Hence all points lie on the same
line.
2. Plot the points (2, 8), (7, 8) and (12, 8). Join these points in pairs. Do they lie on a
line? What do you observe?
Solution:
Take a point O on the graph paper and draw the horizontal and vertical lines OX and OY
respectively.
Then, let on the x-axis and y axis 1 cm represents 1 unit.
In order to plot point (2, 8), we start from the origin O and move 8 cm along X - axis. The
point we arrive at is (2, 8).
To plot point (7, 8), we move 7 cm along X - axis and 8 cm along Y - axis. The point we
arrive at is (7, 8).
To plot point (12, 8), we move 12 cm along X - axis and 8 cm along Y - axis. The point
we arrive at is (12, 8).
From the above graph, we observe that all points are having same Y – coordinates, it can
be seen that the points lie on a line parallel to the x-axis. Hence all points lie on the same
line.
3. Locate the points :
(i) (1, 1), (1, 2), (1, 3), (1, 4)
(ii) (2, 1), (2, 2), (2, 3), (2, 4)
(iii) (1, 3), (2, 3), (3, 3), (4, 3)
(iv) (1, 4), (2, 4), (3, 4), (4, 4,)
Solution:
(i) (1, 1), (1, 2), (1, 3), (1, 4)
To plot these points,
Take a point O on a graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on x-axis and y-axis 1 cm represents 1 unit.
To plot point (1, 1), we start from the origin O and move 1 cm along X - axis and 1 cm
along Y - axis. The point we arrive at is (1, 1).
To plot point (1, 2), we move 1 cm along X - axis and 2 cm along Y - axis. The point we
arrive at is (1, 2).
To plot point (1, 3), we move 1 cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (1, 3).
To plot point (1, 4), we move 1 cm along X - axis and 4 cm along Y - axis. The point we
arrive at is (1, 4)
(ii) (2, 1), (2, 2), (2, 3), (2, 4)
To plot these points,
Take a point O on a graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on x-axis and y-axis 1 cm represents 1 unit.
To plot point (2, 1), we move 2 cm along X - axis and 1 cm along Y - axis. The point we
arrive at is (2, 1).
To plot point (2, 2), we move 2 cm along X - axis and 2 cm along Y - axis. The point we
arrive at is (2, 2).
To plot point (2, 3), we move 2 cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (2, 3).
To plot point (2, 4), we move 2 cm along X - axis and 4 cm along Y - axis. The point we
arrive at is (2, 4).
Page 4
1. Plot the points (5, 0), (5, 1), (5, 8). Do they lie on a line? What is your observation?
Solution:
Take a point O on the graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on the x-axis and y-axis 1 cm represents 1 unit.
To plot point (5, 0), we start from the origin O and move 5 cm along X - axis. The point
we arrive at is point (5, 0).
To plot point (5, 1), we move 5 cm along X - axis and 1 cm along Y - axis. The point we
arrive at is point (5, 1).
To plot point (5, 8), we move 5 cm along X - axis and 8 cm along Y - axis. The point we
arrive at is point (5, 8).
From the above graph, we observe that all points are having same X – coordinates, it can
be seen that the points lie on a line parallel to the y-axis. Hence all points lie on the same
line.
2. Plot the points (2, 8), (7, 8) and (12, 8). Join these points in pairs. Do they lie on a
line? What do you observe?
Solution:
Take a point O on the graph paper and draw the horizontal and vertical lines OX and OY
respectively.
Then, let on the x-axis and y axis 1 cm represents 1 unit.
In order to plot point (2, 8), we start from the origin O and move 8 cm along X - axis. The
point we arrive at is (2, 8).
To plot point (7, 8), we move 7 cm along X - axis and 8 cm along Y - axis. The point we
arrive at is (7, 8).
To plot point (12, 8), we move 12 cm along X - axis and 8 cm along Y - axis. The point
we arrive at is (12, 8).
From the above graph, we observe that all points are having same Y – coordinates, it can
be seen that the points lie on a line parallel to the x-axis. Hence all points lie on the same
line.
3. Locate the points :
(i) (1, 1), (1, 2), (1, 3), (1, 4)
(ii) (2, 1), (2, 2), (2, 3), (2, 4)
(iii) (1, 3), (2, 3), (3, 3), (4, 3)
(iv) (1, 4), (2, 4), (3, 4), (4, 4,)
Solution:
(i) (1, 1), (1, 2), (1, 3), (1, 4)
To plot these points,
Take a point O on a graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on x-axis and y-axis 1 cm represents 1 unit.
To plot point (1, 1), we start from the origin O and move 1 cm along X - axis and 1 cm
along Y - axis. The point we arrive at is (1, 1).
To plot point (1, 2), we move 1 cm along X - axis and 2 cm along Y - axis. The point we
arrive at is (1, 2).
To plot point (1, 3), we move 1 cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (1, 3).
To plot point (1, 4), we move 1 cm along X - axis and 4 cm along Y - axis. The point we
arrive at is (1, 4)
(ii) (2, 1), (2, 2), (2, 3), (2, 4)
To plot these points,
Take a point O on a graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on x-axis and y-axis 1 cm represents 1 unit.
To plot point (2, 1), we move 2 cm along X - axis and 1 cm along Y - axis. The point we
arrive at is (2, 1).
To plot point (2, 2), we move 2 cm along X - axis and 2 cm along Y - axis. The point we
arrive at is (2, 2).
To plot point (2, 3), we move 2 cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (2, 3).
To plot point (2, 4), we move 2 cm along X - axis and 4 cm along Y - axis. The point we
arrive at is (2, 4).
(iii) (1, 3), (2, 3), (3, 3), (4, 3)
To plot these points,
Take a point O on a graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on x-axis and y-axis 1 cm represents 1 unit.
To plot point (1, 3), we move 1 cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (1, 3).
To plot point (2, 3), we move 2 cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (2, 3).
To plot point (3, 3), we move 3 cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (3, 3).
To plot point (4, 3), we move 4 0cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (4, 3).
Page 5
1. Plot the points (5, 0), (5, 1), (5, 8). Do they lie on a line? What is your observation?
Solution:
Take a point O on the graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on the x-axis and y-axis 1 cm represents 1 unit.
To plot point (5, 0), we start from the origin O and move 5 cm along X - axis. The point
we arrive at is point (5, 0).
To plot point (5, 1), we move 5 cm along X - axis and 1 cm along Y - axis. The point we
arrive at is point (5, 1).
To plot point (5, 8), we move 5 cm along X - axis and 8 cm along Y - axis. The point we
arrive at is point (5, 8).
From the above graph, we observe that all points are having same X – coordinates, it can
be seen that the points lie on a line parallel to the y-axis. Hence all points lie on the same
line.
2. Plot the points (2, 8), (7, 8) and (12, 8). Join these points in pairs. Do they lie on a
line? What do you observe?
Solution:
Take a point O on the graph paper and draw the horizontal and vertical lines OX and OY
respectively.
Then, let on the x-axis and y axis 1 cm represents 1 unit.
In order to plot point (2, 8), we start from the origin O and move 8 cm along X - axis. The
point we arrive at is (2, 8).
To plot point (7, 8), we move 7 cm along X - axis and 8 cm along Y - axis. The point we
arrive at is (7, 8).
To plot point (12, 8), we move 12 cm along X - axis and 8 cm along Y - axis. The point
we arrive at is (12, 8).
From the above graph, we observe that all points are having same Y – coordinates, it can
be seen that the points lie on a line parallel to the x-axis. Hence all points lie on the same
line.
3. Locate the points :
(i) (1, 1), (1, 2), (1, 3), (1, 4)
(ii) (2, 1), (2, 2), (2, 3), (2, 4)
(iii) (1, 3), (2, 3), (3, 3), (4, 3)
(iv) (1, 4), (2, 4), (3, 4), (4, 4,)
Solution:
(i) (1, 1), (1, 2), (1, 3), (1, 4)
To plot these points,
Take a point O on a graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on x-axis and y-axis 1 cm represents 1 unit.
To plot point (1, 1), we start from the origin O and move 1 cm along X - axis and 1 cm
along Y - axis. The point we arrive at is (1, 1).
To plot point (1, 2), we move 1 cm along X - axis and 2 cm along Y - axis. The point we
arrive at is (1, 2).
To plot point (1, 3), we move 1 cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (1, 3).
To plot point (1, 4), we move 1 cm along X - axis and 4 cm along Y - axis. The point we
arrive at is (1, 4)
(ii) (2, 1), (2, 2), (2, 3), (2, 4)
To plot these points,
Take a point O on a graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on x-axis and y-axis 1 cm represents 1 unit.
To plot point (2, 1), we move 2 cm along X - axis and 1 cm along Y - axis. The point we
arrive at is (2, 1).
To plot point (2, 2), we move 2 cm along X - axis and 2 cm along Y - axis. The point we
arrive at is (2, 2).
To plot point (2, 3), we move 2 cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (2, 3).
To plot point (2, 4), we move 2 cm along X - axis and 4 cm along Y - axis. The point we
arrive at is (2, 4).
(iii) (1, 3), (2, 3), (3, 3), (4, 3)
To plot these points,
Take a point O on a graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on x-axis and y-axis 1 cm represents 1 unit.
To plot point (1, 3), we move 1 cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (1, 3).
To plot point (2, 3), we move 2 cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (2, 3).
To plot point (3, 3), we move 3 cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (3, 3).
To plot point (4, 3), we move 4 0cm along X - axis and 3 cm along Y - axis. The point we
arrive at is (4, 3).
(iv) (1, 4), (2, 4), (3, 4), (4, 4,)
To plot these points,
Take a point O on a graph paper and draw horizontal and vertical lines OX and OY
respectively.
Then, let on x-axis and y-axis 1 cm represents 1 unit.
In order to plot point (1, 4), we move 1 cm along X - axis and 4 cm along Y - axis. The
point we arrive at is (1, 4).
To plot point (2, 4), we move 2 cm along X - axis and 4 cm along Y - axis. The point we
arrive at is (2, 4).
To plot point (3, 4), we move 3 cm along X - axis and 4 cm along Y- axis. The point we
arrive at is (3, 4).
To plot point (4, 4), we move 4 cm along X - axis and 4 cm along Y - axis. The point we
arrive at is (4, 4).
4. Find the coordinates of points A, B, C, D in Fig. 27.7
Read More
|
79 videos|408 docs|31 tests
|
FAQs on Introduction to Graphs - Exercise 27.1 - Mathematics (Maths) Class 8
| 1. What is a graph in the context of computer science? |  |
Ans. In computer science, a graph is a data structure that consists of a set of nodes (also known as vertices) and a set of edges that connect these nodes. It is used to represent relationships between different entities or elements.
| 2. How are graphs useful in computer science? | |
Ans. Graphs are widely used in computer science for various purposes. They can be used to represent networks, such as social networks or computer networks. Graphs are also used in algorithms for tasks like finding the shortest path between two nodes, detecting cycles, or solving optimization problems.
| 3. What are the different types of graphs? | |
Ans. There are several types of graphs in computer science. Some common types include directed graphs, where edges have a specific direction, undirected graphs, where edges have no specific direction, weighted graphs, where edges have associated weights or costs, and bipartite graphs, where nodes can be divided into two distinct sets.
| 4. How can graphs be implemented in computer programs? | |
Ans. Graphs can be implemented in computer programs using various data structures. One common approach is to use an adjacency matrix, where a matrix is used to represent the connections between nodes. Another approach is to use an adjacency list, where each node is associated with a list of its neighboring nodes.
| 5. What are some real-world applications of graphs? | |
Ans. Graphs have numerous real-world applications. They are used in social network analysis, route planning and navigation systems, recommendation systems, data mining, and many other areas. For example, graph algorithms can be used to find the shortest path between two locations in a map or to determine the influence of individuals in a social network.
Related Exams
About this Document
|
4.89/5 Rating |
|
Dec 04, 2024 Last updated |
Document Description: Introduction to Graphs - Exercise 27.1 for Class 8 2024 is part of Mathematics (Maths) Class 8 preparation.
The notes and questions for Introduction to Graphs - Exercise 27.1 have been prepared according to the Class 8 exam syllabus. Information about Introduction to Graphs - Exercise 27.1 covers topics
like and Introduction to Graphs - Exercise 27.1 Example, for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Introduction to Graphs - Exercise 27.1.
Introduction of Introduction to Graphs - Exercise 27.1 in English is available as part of our Mathematics (Maths) Class 8
for Class 8 & Introduction to Graphs - Exercise 27.1 in Hindi for Mathematics (Maths) Class 8 course.
Download more important topics related with notes, lectures and mock test series for Class 8
Exam by signing up for free. Class 8: Introduction to Graphs - Exercise 27.1 | Mathematics (Maths) Class 8
Description
Full syllabus notes, lecture & questions for Introduction to Graphs - Exercise 27.1 | Mathematics (Maths) Class 8 - Class 8 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 8 | Best notes, free PDF download
Information about Introduction to Graphs - Exercise 27.1
In this doc you can find the meaning of Introduction to Graphs - Exercise 27.1 defined & explained in the simplest way possible. Besides explaining types of
Introduction to Graphs - Exercise 27.1 theory, EduRev gives you an ample number of questions to practice Introduction to Graphs - Exercise 27.1 tests, examples and also practice Class 8
tests
|
Explore Courses for Class 8 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
video lectures
,Introduction to Graphs - Exercise 27.1 | Mathematics (Maths) Class 8
,Extra Questions
,Previous Year Questions with Solutions
,past year papers
,ppt
,Objective type Questions
,shortcuts and tricks
,Important questions
,Semester Notes
,Viva Questions
,Introduction to Graphs - Exercise 27.1 | Mathematics (Maths) Class 8
,study material
,MCQs
,practice quizzes
,Sample Paper
,Free
,mock tests for examination
,Summary
,Introduction to Graphs - Exercise 27.1 | Mathematics (Maths) Class 8
,Exam
;
Additional Information about Introduction to Graphs - Exercise 27.1 for Class 8 Preparation
Introduction to Graphs - Exercise 27.1 Free PDF Download
The Introduction to Graphs - Exercise 27.1 is an invaluable resource that delves deep into the core of the Class 8 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Introduction to Graphs - Exercise 27.1 now and kickstart your journey towards success in the Class 8 exam.
Importance of Introduction to Graphs - Exercise 27.1
The importance of Introduction to Graphs - Exercise 27.1 cannot be overstated, especially for Class 8 aspirants.
This document holds the key to success in the Class 8 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Introduction to Graphs - Exercise 27.1 Notes
Introduction to Graphs - Exercise 27.1 Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Introduction to Graphs - Exercise 27.1.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Introduction to Graphs - Exercise 27.1 Notes on EduRev are your ultimate resource for success.
Introduction to Graphs - Exercise 27.1 Class 8 Questions
The "Introduction to Graphs - Exercise 27.1 Class 8 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 8 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Introduction to Graphs - Exercise 27.1 on the App
Students of Class 8 can study Introduction to Graphs - Exercise 27.1 alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Introduction to Graphs - Exercise 27.1,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Introduction to Graphs - Exercise 27.1 is prepared as per the latest Class 8 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup