IIT JAM Exam  >  IIT JAM Questions  >  Let R = {(3,3),(6.6),(9,9),(12,12),(6.12),(3,... Start Learning for Free
Let R = {(3,3),(6.6),(9,9),(12,12),(6.12),(3,9),(3,12),(3,6)} be a relation on the se A = {3,6,9,12}. The relation is
  • a)
    Reflexive and transitive
  • b)
    Reflexive only
  • c)
    Ail equivalence relation
  • d)
    None
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Let R = {(3,3),(6.6),(9,9),(12,12),(6.12),(3,9),(3,12),(3,6)} be a rel...
(d) : For (3, 9) ∈ R, (9, 3) ∉ R 
Therefore,relation is not symmetric which means our choice 
(a) and (b) are out of court. We need to prove reflexivity and transitivity. 
For reflexivity a ∈ R, (a, a) ∈ R which is hold i.e. R is reflexive. Again, 
for transitivity of (a, b) ∈ R , (b, c) ∈ R 
⇒ (a, c) ∈ R 
which is also true in R = {(3, 3)(6, 6), (9, 9), (12, 12), (6,12), (3, 9), (3, 12), (3, 6)}.
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Let R = {(3,3),(6.6),(9,9),(12,12),(6.12),(3,9),(3,12),(3,6)} be a relation on the se A = {3,6,9,12}. The relation isa)Reflexive and transitiveb)Reflexive onlyc)Ail equivalence relationd)NoneCorrect answer is option 'D'. Can you explain this answer?
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Let R = {(3,3),(6.6),(9,9),(12,12),(6.12),(3,9),(3,12),(3,6)} be a relation on the se A = {3,6,9,12}. The relation isa)Reflexive and transitiveb)Reflexive onlyc)Ail equivalence relationd)NoneCorrect answer is option 'D'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Let R = {(3,3),(6.6),(9,9),(12,12),(6.12),(3,9),(3,12),(3,6)} be a relation on the se A = {3,6,9,12}. The relation isa)Reflexive and transitiveb)Reflexive onlyc)Ail equivalence relationd)NoneCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let R = {(3,3),(6.6),(9,9),(12,12),(6.12),(3,9),(3,12),(3,6)} be a relation on the se A = {3,6,9,12}. The relation isa)Reflexive and transitiveb)Reflexive onlyc)Ail equivalence relationd)NoneCorrect answer is option 'D'. Can you explain this answer?.
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