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Direction: Read the following text and answer the following questions on the basis of the same:
A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:
ONE – NATION
ONE – ELECTION
FESTIVAL OF DEMOCRACY
GENERAL ELECTION - 2019
R = {(V1, V2) : V1, V2 ∈ I and both use their voting right in general election – 2019}
The above defined relation R is __________
  • a)
    Symmetric and transitive but not reflexive
  • b)
    Universal relation
  • c)
    Equivalence relation
  • d)
    Reflexive but not symmetric and transitive
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Direction: Read the following text and answer the following questions...
R is reflexive, since every person is friend or itself.
i.e., (F1, F2) ∈ R
Further, (F1, F2) ∈ R
⇒ F1 is friend of F2
⇒ F2 is friend of F1
⇒ (F2, F1) ∈ R
⇒ R is symmetric
Moreover, (F1, F2), (F2, F3) ∈ R
⇒ F1 is friend of F2 and F2 is friend of F3.
⇒ F1 is a friend of F3.
⇒ (F1, F3) ∈ R
Therefore, R is an equivalence relation.
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Most Upvoted Answer
Direction: Read the following text and answer the following questions...
The relation R is an equivalence relation.

1. Reflexive:
A relation is reflexive if every element is related to itself. In this case, every citizen V1 ∈ I used their voting right in the general election of 2019. Therefore, (V1, V1) is in the relation R for every V1 ∈ I. Hence, R is reflexive.

2. Symmetric:
A relation is symmetric if whenever (a, b) is in the relation, then (b, a) is also in the relation. In this case, if V1 and V2 both used their voting right in the general election of 2019, then (V1, V2) and (V2, V1) are both in the relation R. Hence, R is symmetric.

3. Transitive:
A relation is transitive if whenever (a, b) and (b, c) are in the relation, then (a, c) is also in the relation. In this case, if V1, V2, and V3 all used their voting right in the general election of 2019, and (V1, V2) and (V2, V3) are both in the relation R, then (V1, V3) is also in the relation R. Therefore, R is transitive.

Conclusion:
Since the relation R is reflexive, symmetric, and transitive, it satisfies all the properties required for an equivalence relation. Hence, the correct answer is option C - Equivalence relation.
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Direction: Read the following text and answer the following questions on the basis of the same:A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:ONE – NATIONONE – ELECTIONFESTIVAL OF DEMOCRACYGENERAL ELECTION - 2019R = {(V1, V2) : V1, V2 ∈ I and both use their voting right in general election – 2019}The above defined relation R is __________a)Symmetric and transitive but not reflexiveb)Universal relationc)Equivalence relationd)Reflexive but not symmetric and transitiveCorrect answer is option 'C'. 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:A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:ONE – NATIONONE – ELECTIONFESTIVAL OF DEMOCRACYGENERAL ELECTION - 2019R = {(V1, V2) : V1, V2 ∈ I and both use their voting right in general election – 2019}The above defined relation R is __________a)Symmetric and transitive but not reflexiveb)Universal relationc)Equivalence relationd)Reflexive but not symmetric and transitiveCorrect answer is option 'C'. 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:A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:ONE – NATIONONE – ELECTIONFESTIVAL OF DEMOCRACYGENERAL ELECTION - 2019R = {(V1, V2) : V1, V2 ∈ I and both use their voting right in general election – 2019}The above defined relation R is __________a)Symmetric and transitive but not reflexiveb)Universal relationc)Equivalence relationd)Reflexive but not symmetric and transitiveCorrect answer is option 'C'. 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:A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:ONE – NATIONONE – ELECTIONFESTIVAL OF DEMOCRACYGENERAL ELECTION - 2019R = {(V1, V2) : V1, V2 ∈ I and both use their voting right in general election – 2019}The above defined relation R is __________a)Symmetric and transitive but not reflexiveb)Universal relationc)Equivalence relationd)Reflexive but not symmetric and transitiveCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Direction: Read the following text and answer the following questions on the basis of the same:A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:ONE – NATIONONE – ELECTIONFESTIVAL OF DEMOCRACYGENERAL ELECTION - 2019R = {(V1, V2) : V1, V2 ∈ I and both use their voting right in general election – 2019}The above defined relation R is __________a)Symmetric and transitive but not reflexiveb)Universal relationc)Equivalence relationd)Reflexive but not symmetric and transitiveCorrect answer is option 'C'. 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:A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:ONE – NATIONONE – ELECTIONFESTIVAL OF DEMOCRACYGENERAL ELECTION - 2019R = {(V1, V2) : V1, V2 ∈ I and both use their voting right in general election – 2019}The above defined relation R is __________a)Symmetric and transitive but not reflexiveb)Universal relationc)Equivalence relationd)Reflexive but not symmetric and transitiveCorrect answer is option 'C'. 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:A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:ONE – NATIONONE – ELECTIONFESTIVAL OF DEMOCRACYGENERAL ELECTION - 2019R = {(V1, V2) : V1, V2 ∈ I and both use their voting right in general election – 2019}The above defined relation R is __________a)Symmetric and transitive but not reflexiveb)Universal relationc)Equivalence relationd)Reflexive but not symmetric and transitiveCorrect answer is option 'C'. 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:A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:ONE – NATIONONE – ELECTIONFESTIVAL OF DEMOCRACYGENERAL ELECTION - 2019R = {(V1, V2) : V1, V2 ∈ I and both use their voting right in general election – 2019}The above defined relation R is __________a)Symmetric and transitive but not reflexiveb)Universal relationc)Equivalence relationd)Reflexive but not symmetric and transitiveCorrect answer is option 'C'. 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:A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:ONE – NATIONONE – ELECTIONFESTIVAL OF DEMOCRACYGENERAL ELECTION - 2019R = {(V1, V2) : V1, V2 ∈ I and both use their voting right in general election – 2019}The above defined relation R is __________a)Symmetric and transitive but not reflexiveb)Universal relationc)Equivalence relationd)Reflexive but not symmetric and transitiveCorrect answer is option 'C'. 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:A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:ONE – NATIONONE – ELECTIONFESTIVAL OF DEMOCRACYGENERAL ELECTION - 2019R = {(V1, V2) : V1, V2 ∈ I and both use their voting right in general election – 2019}The above defined relation R is __________a)Symmetric and transitive but not reflexiveb)Universal relationc)Equivalence relationd)Reflexive but not symmetric and transitiveCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
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