Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > Let L denote the set of all straight lines in...
Start Learning for Free
Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:
- a)reflexive
- b)symmetric
- c)transitive
- d)equivalence
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Let L denote the set of all straight lines in a plane. Let a relation ...
Let two lines ℓ1, ℓ2 ∈ L
Now (ℓ1, ℓ2) ∈ R
Only when ℓ1 ⊥ ℓ2
1. For reflexivity:
Let ℓ1 ∈ L
But (ℓ1, ℓ1) ∉ R
Since no line is perpendicular to itself
R is not reflexive
Now (ℓ1, ℓ2) ∈ R
Only when ℓ1 ⊥ ℓ2
1. For reflexivity:
Let ℓ1 ∈ L
But (ℓ1, ℓ1) ∉ R
Since no line is perpendicular to itself
R is not reflexive
2. For symmetric:
Let, (ℓ1, ℓ2) ∈ L
Now, if ℓ1 ⊥ ℓ2 then this implies that ℓ2 is also perpendicular to ℓ1
Hence, (ℓ1, ℓ1) ∈ L
R is symmetric.
Let, (ℓ1, ℓ2) ∈ L
Now, if ℓ1 ⊥ ℓ2 then this implies that ℓ2 is also perpendicular to ℓ1
Hence, (ℓ1, ℓ1) ∈ L
R is symmetric.
3. For Transitive:
Let (ℓ1, ℓ2) ∈ L and (ℓ2, ℓ3) ∈ L
ℓ1 ⊥ ℓ2 and ℓ2 ⊥ ℓ3
Let (ℓ1, ℓ2) ∈ L and (ℓ2, ℓ3) ∈ L
ℓ1 ⊥ ℓ2 and ℓ2 ⊥ ℓ3
ℓ1 is not perpendicular to ℓ3
(ℓ1, ℓ3) ∉ R
∴ Not transitive
(ℓ1, ℓ3) ∉ R
∴ Not transitive
Free Test
FREE
| Start Free Test |
Community Answer
Let L denote the set of all straight lines in a plane. Let a relation ...
The relation R can be defined as follows:
R = {(l, m) | l is perpendicular to m}
In other words, the relation R consists of ordered pairs (l, m) where l and m are straight lines in the plane, and l is perpendicular to m.
R = {(l, m) | l is perpendicular to m}
In other words, the relation R consists of ordered pairs (l, m) where l and m are straight lines in the plane, and l is perpendicular to m.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Top Courses for Civil Engineering (CE)View all
Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer?
Question Description
Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer?.
Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let L denote the set of all straight lines in a plane. Let a relation R be l R m if l is perpendicular to m ∀ l, m ∈ L. Then R is:a)reflexiveb)symmetricc)transitived)equivalenceCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) 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