JEE Exam > JEE Questions > The coordinates of three vertices of parallel...
Start Learning for Free
The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex is
- a)(3,3)
- b)(4,4)
- c)(4,1)
- d)(0,-4)
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The coordinates of three vertices of parallelogram are (1,3)(2,0) and ...
Explanation:
In a parallelogram opposite sides are equal and parallel, so we can find the fourth vertex as follows:
Step 1:
Find the vector between the first two given vertices by subtracting the coordinates of the initial vertex from the coordinates of the terminal vertex.
u = <2-1, 0-3=""> = <1, -3="">
Step 2:
Find the vector between the second and third given vertices by subtracting the coordinates of the initial vertex from the coordinates of the terminal vertex.
v = <5-2, 1-0=""> = <3, 1="">
Step 3:
Add the vector u to the coordinates of the third given vertex to get the fourth vertex.
(5,1) + <1,-3> = (6,-2)
Step 4:
Add the vector v to the coordinates of the first given vertex to get the fourth vertex.
(1,3) + <3,1> = (4,4)
Step 5:
Compare both answers for the fourth vertex. The correct answer is (4,4) which is option 'B'.
In a parallelogram opposite sides are equal and parallel, so we can find the fourth vertex as follows:
Step 1:
Find the vector between the first two given vertices by subtracting the coordinates of the initial vertex from the coordinates of the terminal vertex.
u = <2-1, 0-3=""> = <1, -3="">
Step 2:
Find the vector between the second and third given vertices by subtracting the coordinates of the initial vertex from the coordinates of the terminal vertex.
v = <5-2, 1-0=""> = <3, 1="">
Step 3:
Add the vector u to the coordinates of the third given vertex to get the fourth vertex.
(5,1) + <1,-3> = (6,-2)
Step 4:
Add the vector v to the coordinates of the first given vertex to get the fourth vertex.
(1,3) + <3,1> = (4,4)
Step 5:
Compare both answers for the fourth vertex. The correct answer is (4,4) which is option 'B'.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer?
Question Description
The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer?.
The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer?.
Solutions for The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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