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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  not 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. 
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Most Upvoted Answer
Let S be the set of all straight lines in a plane. Let R be a relation...
The relation R on S is defined as follows: a R b if and only if a and b are parallel lines. In other words, two straight lines are related 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 bya R b⇔a⊥b. then, R isa)reflexive but neither symmetric not 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?
Question Description
Let S be the set of all straight lines in a plane. Let R be a relation on S defined bya R b⇔a⊥b. then, R isa)reflexive but neither symmetric not 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 bya R b⇔a⊥b. then, R isa)reflexive but neither symmetric not 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 bya R b⇔a⊥b. then, R isa)reflexive but neither symmetric not 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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