JEE Exam > JEE Questions > Let R be a relation on set A of triangles in ...
Start Learning for Free
Let R be a relation on set A of triangles in a plane.
R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______
- a)Equivalence relation
- b)Transitive
- c)Symmetric
- d)Reflexive
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : ...
It is equivalence relation...
as a triangle is congruent to itself that means (T1 , T1) exist in relation...which implies it is reflexive.
And also if T1 is congruent to T2 then T2 is also congruent to T1 as simple...that means (T1,T2) and (T2,T1) both belongs to relation ...which implies it is symmetric.
And is T1 is congruent to T2 and T2 is congruent to T3...then T1 is also congruent to T3.... congruency rule...that means (T1,T2),(T2,T3)and(T1,T3) belongs to relation...which implies it transitive....
this relation is reflexive, symmetric, and transitive...hence it is equivalence relation..
as a triangle is congruent to itself that means (T1 , T1) exist in relation...which implies it is reflexive.
And also if T1 is congruent to T2 then T2 is also congruent to T1 as simple...that means (T1,T2) and (T2,T1) both belongs to relation ...which implies it is symmetric.
And is T1 is congruent to T2 and T2 is congruent to T3...then T1 is also congruent to T3.... congruency rule...that means (T1,T2),(T2,T3)and(T1,T3) belongs to relation...which implies it transitive....
this relation is reflexive, symmetric, and transitive...hence it is equivalence relation..
Free Test
FREE
| Start Free Test |
Community Answer
Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : ...
It is equivalence relation...
as a triangle is congruent to itself that means (T1, T1) exist in relation which implies it is reflexive.
And also if T1 is congruent to T2 then T2 is also congruent to T1 as simple that means (T1,T2) and (T2,T1) both belongs to relation ...which implies it is symmetric.
And is T1 is congruent to T2 and T2 is congruent to T3, then T1 is also congruent to T3, congruency rule that means (T1,T2), (T2,T3) and (T1,T3) belongs to relation which implies it transitive.
this relation is reflexive, symmetric, and transitive, hence it is equivalence relation.
as a triangle is congruent to itself that means (T1, T1) exist in relation which implies it is reflexive.
And also if T1 is congruent to T2 then T2 is also congruent to T1 as simple that means (T1,T2) and (T2,T1) both belongs to relation ...which implies it is symmetric.
And is T1 is congruent to T2 and T2 is congruent to T3, then T1 is also congruent to T3, congruency rule that means (T1,T2), (T2,T3) and (T1,T3) belongs to relation which implies it transitive.
this relation is reflexive, symmetric, and transitive, hence it is equivalence relation.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Top Courses for JEEView all
Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect answer is option 'A'. Can you explain this answer?
Question Description
Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect 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 Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect 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 Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect answer is option 'A'. Can you explain this answer?.
Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect 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 Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect 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 Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect 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 Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let R be a relation on set A of triangles in a plane.R = {(T1 , T2) : T1 , T2 element of A and T1 is congruent to T2} Then the relation R is______a)Equivalence relationb)Transitivec)Symmetricd)ReflexiveCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup