Class 9 Exam > Class 9 Questions > A line segment is of length 10 units. If the ...
Start Learning for Free
A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other end is 10, then its ordinate is :
- a)9, 6
- b)3, -9
- c)-3, 9
- d)9, -6
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A line segment is of length 10 units. If the coordinates of its one en...
A line segment is of length 10 units. If the coordinates of its one end are (2, 4), what are the possible coordinates of its other end?
Since the length of the line segment is 10 units, we can use the distance formula to find the distance between the two end points. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) are the coordinates of the first point and (x2, y2) are the coordinates of the second point.
In this case, the coordinates of the first point are (2, 4). Let's say the coordinates of the second point are (x, y). Plugging in these values into the distance formula, we get:
10 = √((x - 2)^2 + (y - 4)^2)
Squaring both sides of the equation, we get:
100 = (x - 2)^2 + (y - 4)^2
Expanding the equation, we get:
100 = x^2 - 4x + 4 + y^2 - 8y + 16
Rearranging the terms, we get:
x^2 - 4x + y^2 - 8y = 100 - 4 - 16
x^2 - 4x + y^2 - 8y = 80
Completing the square for the x and y terms, we get:
(x - 2)^2 - 4 + (y - 4)^2 - 16 = 80
(x - 2)^2 + (y - 4)^2 = 100
Now, we have the equation of a circle centered at (2, 4) with a radius of 10 units.
So, the possible coordinates of the other end of the line segment are any point on this circle.
Since the length of the line segment is 10 units, we can use the distance formula to find the distance between the two end points. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) are the coordinates of the first point and (x2, y2) are the coordinates of the second point.
In this case, the coordinates of the first point are (2, 4). Let's say the coordinates of the second point are (x, y). Plugging in these values into the distance formula, we get:
10 = √((x - 2)^2 + (y - 4)^2)
Squaring both sides of the equation, we get:
100 = (x - 2)^2 + (y - 4)^2
Expanding the equation, we get:
100 = x^2 - 4x + 4 + y^2 - 8y + 16
Rearranging the terms, we get:
x^2 - 4x + y^2 - 8y = 100 - 4 - 16
x^2 - 4x + y^2 - 8y = 80
Completing the square for the x and y terms, we get:
(x - 2)^2 - 4 + (y - 4)^2 - 16 = 80
(x - 2)^2 + (y - 4)^2 = 100
Now, we have the equation of a circle centered at (2, 4) with a radius of 10 units.
So, the possible coordinates of the other end of the line segment are any point on this circle.
Free Test
FREE
| Start Free Test |
Community Answer
A line segment is of length 10 units. If the coordinates of its one en...
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer?
Question Description
A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer?.
A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer?.
Solutions for A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A line segment is of length 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other endis 10, then its ordinate is :a)9, 6b)3, -9c)-3, 9d)9, -6Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 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
|
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