Class 10 Exam > Class 10 Questions > 18. The coordinates of Ram's house are (6,0) ...
Start Learning for Free
18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan?
Most Upvoted Answer
18. The coordinates of Ram's house are (6,0) and coordinates of thyam'...
Understanding the Coordinates
The coordinates provided are:
- Ram's house: (6, 0)
- Shyan's house: (0, 8)
These points represent locations on a Cartesian plane, where the first number is the x-coordinate (horizontal) and the second number is the y-coordinate (vertical).
Distance Formula
To find the distance between two points (x1, y1) and (x2, y2) in a 2D plane, we use the distance formula:
- Distance = √[(x2 - x1)² + (y2 - y1)²]
Substituting the Coordinates
Here, we substitute Ram's house (6, 0) as (x1, y1) and Shyan's house (0, 8) as (x2, y2):
- x1 = 6, y1 = 0
- x2 = 0, y2 = 8
Now, plug these values into the formula:
- Distance = √[(0 - 6)² + (8 - 0)²]
Calculating the Components
Now, calculate each part:
- (0 - 6)² = (-6)² = 36
- (8 - 0)² = (8)² = 64
Final Calculation
Add the squared values:
- Distance = √[36 + 64]
- Distance = √[100]
- Distance = 10
Conclusion
The distance between Ram's house and Shyan's house is 10 units. This mathematical approach not only helps in finding the distance but also strengthens the understanding of the coordinate system and the distance formula.
The coordinates provided are:
- Ram's house: (6, 0)
- Shyan's house: (0, 8)
These points represent locations on a Cartesian plane, where the first number is the x-coordinate (horizontal) and the second number is the y-coordinate (vertical).
Distance Formula
To find the distance between two points (x1, y1) and (x2, y2) in a 2D plane, we use the distance formula:
- Distance = √[(x2 - x1)² + (y2 - y1)²]
Substituting the Coordinates
Here, we substitute Ram's house (6, 0) as (x1, y1) and Shyan's house (0, 8) as (x2, y2):
- x1 = 6, y1 = 0
- x2 = 0, y2 = 8
Now, plug these values into the formula:
- Distance = √[(0 - 6)² + (8 - 0)²]
Calculating the Components
Now, calculate each part:
- (0 - 6)² = (-6)² = 36
- (8 - 0)² = (8)² = 64
Final Calculation
Add the squared values:
- Distance = √[36 + 64]
- Distance = √[100]
- Distance = 10
Conclusion
The distance between Ram's house and Shyan's house is 10 units. This mathematical approach not only helps in finding the distance but also strengthens the understanding of the coordinate system and the distance formula.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan?
Question Description
18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan?.
18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan?.
Solutions for 18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of 18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan? defined & explained in the simplest way possible. Besides giving the explanation of
18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan?, a detailed solution for 18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan? has been provided alongside types of 18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan? theory, EduRev gives you an
ample number of questions to practice 18. The coordinates of Ram's house are (6,0) and coordinates of thyam's house are (0,8) find the distance between houses of ram and shyan? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup