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Let S be the set of all straight lines in a plane. Let R be a relation on S defined by a R b ⇔ a ⊥ b.  Then, R is
  • a)
    reflexive but neither symmetric  nor transitive
  • b)
    symmetric but neither reflexive nor transitive
  • c)
    transitive but neither reflexive nor symmetric
  • d)
    an equivalence relation 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let S be the set of all straight lines in a plane. Let R be a relation...
a ⊥ a is not true. So, R is not reflexive
a ⊥ b and b ⊥ c does not imply a ⊥ c. So, R is not transitive
But, a ⊥ b ⇒ b ⊥ a is always true. So, R is symmetric. 
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Most Upvoted Answer
Let S be the set of all straight lines in a plane. Let R be a relation...
If the lines a and b are parallel.

In other words, two lines a and b are related by R if and only if they are parallel to each other.
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Let S be the set of all straight lines in a plane. Let R be a relation on S defined by a R b ⇔ a ⊥ b. Then, R isa)reflexive but neither symmetric nor transitiveb)symmetric but neither reflexive nor transitivec)transitive but neither reflexive nor symmetricd)an equivalence relationCorrect answer is option 'B'. Can you explain this answer?
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Let S be the set of all straight lines in a plane. Let R be a relation on S defined by a R b ⇔ a ⊥ b. Then, R isa)reflexive but neither symmetric nor transitiveb)symmetric but neither reflexive nor transitivec)transitive but neither reflexive nor symmetricd)an equivalence relationCorrect 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 Let S be the set of all straight lines in a plane. Let R be a relation on S defined by a R b ⇔ a ⊥ b. Then, R isa)reflexive but neither symmetric nor transitiveb)symmetric but neither reflexive nor transitivec)transitive but neither reflexive nor symmetricd)an equivalence relationCorrect 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 Let S be the set of all straight lines in a plane. Let R be a relation on S defined by a R b ⇔ a ⊥ b. Then, R isa)reflexive but neither symmetric nor transitiveb)symmetric but neither reflexive nor transitivec)transitive but neither reflexive nor symmetricd)an equivalence relationCorrect answer is option 'B'. Can you explain this answer?.
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