JEE Exam  >  JEE Questions  >   Direction: Read the following text and answe... Start Learning for Free
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 relation R be defined by R = {(L1, L2) : L1 || L2 where L1, L2 ∈ L} then R is______ relation
  • a)
    Equivalence
  • b)
    Only reflexive
  • c)
    Not reflexive
  • d)
    Symmetric but not transitive
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction: Read the following text and answer the following questions...
Let relation R be defined by
R = {(L1, L2) : L1 || L2 where L1, L2 ∈ L}.
R is reflexive, since every line is parallel to itself.
Further, (L1, L2) ∈ R
⇒ L1 is parallel to L2
⇒ L2 is parallel to L1
⇒ (L2, L1) ∈ R
Hence, R is symmetric.
Moreover, (L1, L2), (L2, L3) ∈ R
⇒ L1 is parallel to L2 and L2 is parallel to L3
⇒ L1 is parallel to L3
⇒ (L1, L3) ∈ R
Therefore, R is an equivalence relation
View all questions of this test
Explore Courses for JEE exam
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 relation R be defined by R = {(L1, L2) : L1 || L2 where L1, L2 ∈ L} then R is______ relationa)Equivalenceb)Only reflexivec)Not reflexived)Symmetric but not transitiveCorrect answer is option 'A'. Can you explain this answer?
Question Description
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 relation R be defined by R = {(L1, L2) : L1 || L2 where L1, L2 ∈ L} then R is______ relationa)Equivalenceb)Only reflexivec)Not reflexived)Symmetric but not transitiveCorrect 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 relation R be defined by R = {(L1, L2) : L1 || L2 where L1, L2 ∈ L} then R is______ relationa)Equivalenceb)Only reflexivec)Not reflexived)Symmetric but not transitiveCorrect 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 relation R be defined by R = {(L1, L2) : L1 || L2 where L1, L2 ∈ L} then R is______ relationa)Equivalenceb)Only reflexivec)Not reflexived)Symmetric but not transitiveCorrect 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 relation R be defined by R = {(L1, L2) : L1 || L2 where L1, L2 ∈ L} then R is______ relationa)Equivalenceb)Only reflexivec)Not reflexived)Symmetric but not transitiveCorrect 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 relation R be defined by R = {(L1, L2) : L1 || L2 where L1, L2 ∈ L} then R is______ relationa)Equivalenceb)Only reflexivec)Not reflexived)Symmetric but not transitiveCorrect 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 relation R be defined by R = {(L1, L2) : L1 || L2 where L1, L2 ∈ L} then R is______ relationa)Equivalenceb)Only reflexivec)Not reflexived)Symmetric but not transitiveCorrect 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 relation R be defined by R = {(L1, L2) : L1 || L2 where L1, L2 ∈ L} then R is______ relationa)Equivalenceb)Only reflexivec)Not reflexived)Symmetric but not transitiveCorrect 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 relation R be defined by R = {(L1, L2) : L1 || L2 where L1, L2 ∈ L} then R is______ relationa)Equivalenceb)Only reflexivec)Not reflexived)Symmetric but not transitiveCorrect 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 relation R be defined by R = {(L1, L2) : L1 || L2 where L1, L2 ∈ L} then R is______ relationa)Equivalenceb)Only reflexivec)Not reflexived)Symmetric but not transitiveCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev