JEE Exam > JEE Questions > The binary relation S = Φ (empty set) on ...
Start Learning for Free
The binary relation S = Φ (empty set) on set A = {1, 2,3} is
- a)transitive and relexive
- b)symmetric and relexive
- c)transitive and symmetric
- d)neither reflexive nor symmetric
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)tran...
Reflexive : A relation is reflexive if every element of set is paired with itself. Here none of the element of A is paired with themselves, so S is not reflexive.
Symmetric : This property says that if there is a pair (a, b) in S, then there must be a pair (b, a) in S. Since there is no pair here in S, this is trivially true, so S is symmetric.
Transitive : This says that if there are pairs (a, b) and (b, c) in S, then there must be pair (a,c) in S. Again, this condition is trivially true, so S is transitive.
Symmetric : This property says that if there is a pair (a, b) in S, then there must be a pair (b, a) in S. Since there is no pair here in S, this is trivially true, so S is symmetric.
Transitive : This says that if there are pairs (a, b) and (b, c) in S, then there must be pair (a,c) in S. Again, this condition is trivially true, so S is transitive.
Most Upvoted Answer
The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)tran...
I'm sorry, can you please provide more information about the binary relation S?
Free Test
FREE
| Start Free Test |
Community Answer
The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)tran...
|
Explore Courses for JEE exam
|
|
Top Courses for JEEView all
The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. Can you explain this answer?
Question Description
The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. Can you explain this answer?.
The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. 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 binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The binary relation S = Φ (empty set) on set A = {1, 2,3} isa)transitive and relexiveb)symmetric and relexivec)transitive and symmetricd)neither reflexive nor symmetricCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
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