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Direction: Read the following text and answer the following questions on the basis of the same:
Students of Grade 9, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y = x − 4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.
Let R = {(L1, L2) : L1 ⊥ L2 where L1, L2 ∈ L} which of the following is true?
  • a)
    R is Symmetric but neither reflexive nor transitive
  • b)
    R is Reflexive and transitive but not symmetric
  • c)
    R is Reflexive but neither symmetric nor transitive
  • d)
    R is an Equivalence relation
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction: Read the following text and answer the following questions...
R is not reflexive, as a line L1 can not be perpendicular to itself, i.e., (L1, L1) ∉ R.
R is symmetric as (L1, L2) ∈ R
As, L1 is perpendicular to L2
and L2 is perpendicular to L1
(L2, L1) ∈ R
R is not transitive. Indeed, it L1 is perpendicular to L2 and L2 is perpendicular to L3, then L1 can never be perpendicular to L3.
In fact L1 is parallel to L3,
i.e., (L1, L2) ∈ R, (L2, L3) ∈ R but (L1, L3) ∉ R
i.e., symmetric but neither reflexive nor transitive.
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Direction: Read the following text and answer the following questions on the basis of the same:Students of Grade 9, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y = x − 4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.Let R = {(L1, L2) : L1 ⊥ L2 where L1, L2 ∈ L} which of the following is true?a)R is Symmetric but neither reflexive nor transitiveb)R is Reflexive and transitive but not symmetricc)R is Reflexive but neither symmetric nor transitived)R is an Equivalence relationCorrect answer is option 'A'. Can you explain this answer?
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Direction: Read the following text and answer the following questions on the basis of the same:Students of Grade 9, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y = x − 4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.Let R = {(L1, L2) : L1 ⊥ L2 where L1, L2 ∈ L} which of the following is true?a)R is Symmetric but neither reflexive nor transitiveb)R is Reflexive and transitive but not symmetricc)R is Reflexive but neither symmetric nor transitived)R is an Equivalence relationCorrect answer is option 'A'. 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 Direction: Read the following text and answer the following questions on the basis of the same:Students of Grade 9, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y = x − 4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.Let R = {(L1, L2) : L1 ⊥ L2 where L1, L2 ∈ L} which of the following is true?a)R is Symmetric but neither reflexive nor transitiveb)R is Reflexive and transitive but not symmetricc)R is Reflexive but neither symmetric nor transitived)R is an Equivalence relationCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Read the following text and answer the following questions on the basis of the same:Students of Grade 9, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y = x − 4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.Let R = {(L1, L2) : L1 ⊥ L2 where L1, L2 ∈ L} which of the following is true?a)R is Symmetric but neither reflexive nor transitiveb)R is Reflexive and transitive but not symmetricc)R is Reflexive but neither symmetric nor transitived)R is an Equivalence relationCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Direction: Read the following text and answer the following questions on the basis of the same:Students of Grade 9, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y = x − 4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.Let R = {(L1, L2) : L1 ⊥ L2 where L1, L2 ∈ L} which of the following is true?a)R is Symmetric but neither reflexive nor transitiveb)R is Reflexive and transitive but not symmetricc)R is Reflexive but neither symmetric nor transitived)R is an Equivalence relationCorrect answer is option 'A'. 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 Direction: Read the following text and answer the following questions on the basis of the same:Students of Grade 9, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y = x − 4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.Let R = {(L1, L2) : L1 ⊥ L2 where L1, L2 ∈ L} which of the following is true?a)R is Symmetric but neither reflexive nor transitiveb)R is Reflexive and transitive but not symmetricc)R is Reflexive but neither symmetric nor transitived)R is an Equivalence relationCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Direction: Read the following text and answer the following questions on the basis of the same:Students of Grade 9, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y = x − 4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.Let R = {(L1, L2) : L1 ⊥ L2 where L1, L2 ∈ L} which of the following is true?a)R is Symmetric but neither reflexive nor transitiveb)R is Reflexive and transitive but not symmetricc)R is Reflexive but neither symmetric nor transitived)R is an Equivalence relationCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Direction: Read the following text and answer the following questions on the basis of the same:Students of Grade 9, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y = x − 4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.Let R = {(L1, L2) : L1 ⊥ L2 where L1, L2 ∈ L} which of the following is true?a)R is Symmetric but neither reflexive nor transitiveb)R is Reflexive and transitive but not symmetricc)R is Reflexive but neither symmetric nor transitived)R is an Equivalence relationCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Direction: Read the following text and answer the following questions on the basis of the same:Students of Grade 9, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y = x − 4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.Let R = {(L1, L2) : L1 ⊥ L2 where L1, L2 ∈ L} which of the following is true?a)R is Symmetric but neither reflexive nor transitiveb)R is Reflexive and transitive but not symmetricc)R is Reflexive but neither symmetric nor transitived)R is an Equivalence relationCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Direction: Read the following text and answer the following questions on the basis of the same:Students of Grade 9, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y = x − 4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.Let R = {(L1, L2) : L1 ⊥ L2 where L1, L2 ∈ L} which of the following is true?a)R is Symmetric but neither reflexive nor transitiveb)R is Reflexive and transitive but not symmetricc)R is Reflexive but neither symmetric nor transitived)R is an Equivalence relationCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
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