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Give an example of a relation which is reflexive and symmetric but not transitive.

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Give an example of a relation which is reflexive and transitive but not symmetric.

Give an example of a relation which is symmetric but neither reflexive nor transitive.

Consider the following: 1. If R={(a,b)epsilonNxxN:a divides b in N} then the relation R is reflexive and symmetric but not transitive. 2. If A={1,2,3,4,5,5} and R={(S_(1),S_(2)):S_(1),S_(2) are subsets of A,S_(1)cancelsubS_(2)} , then the relation R is not reflexive, not symmetric and not transitive. Which of the statement is /are correct?

Give an example of a relation which is symmetric and transitive but not reflexive.

Give an example of a relation. Which is(i) Symmetric but neither reflexive nor transitive.(ii) Transitive but neither reflexive nor symmetric.(iii) Reflexive and symmetric but not transitive.(iv) Reflexive and transitive but not symmetric.(v) Symmetric and transitive but not reflexive.

In a set of real numbers a relation R is defined as xRy such that |x|+|y|lt=1 (A)then relation R is reflexive and symmetric but not transitive (B)symmetric but not transitive and reflexive (C)transitive but not symmetric and reflexive (D) none of reflexive, symmetric and transitive

Give an example of a relation which is transitive but neither reflexive nor symmetric.

Let R be a relation on the set of integers given by a R b :-a=2^kdotb for some integer kdot Then R is:- (a) An equivalence relation (b) Reflexive but not symmetric (c). Reflexive and transitive but not symmetric (d). Reflexive and symmetric but not transitive

Let R be a relation on the set of integers given by a R b => a=2^kdotb for some integer kdot then R is An equivalence relation Reflexive but not symmetric Reflexive and transitive but nut symmetric Reflexive and symmetric but not transitive

A relation R is defined as H_1RH_2 such that length of latus rectum of two hyperbolas H_1&H_2 is same then relation R is Reflexive only Reflexive & symmetric but not transitive Reflexive & transitive but not symmetric (4) Equivalence

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. An integer m is said to be related to another integer n if m is a mult...

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  2. Show that the relation "geq" on the set R of all real numbers is refle...

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  3. Give an example of a relation which is reflexive and symmetric but ...

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  4. Give an example of a relation which is reflexive and transitive but...

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  5. Give an example of a relation which is symmetric and transitive but...

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  6. Give an example of a relation which is symmetric but neither reflex...

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  7. Give an example of a relation which is transitive but neither refle...

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  8. Given the relation R={(1,\ 2),\ (2,\ 3)} on the set A={1,\ 2,\ 3} , ad...

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  9. Let A={1,\ 2,\ 3} and R={(1,\ 2),\ (1,\ 1),\ (2,\ 3)} be a relation on...

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  10. Let A={a , b , c) and the relation R be defined on A as follows: R={(a...

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  11. Each of the following defines a relation on N : (i) x+y=...

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  12. Let R be a relation on the set of all lines in a plane defined by (l...

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  13. Show that the relation ‘is congruent to’ on the set of all triangle...

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  14. Show that the relation R defined on the set A of all triangles in a pl...

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  15. Let n be a positive integer. Prove that the relation R on the set Z o...

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  16. Show that the relation R on the set A of all the books in a library of...

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  17. Show that the relation R on the set A={1,\ 2,\ 3,\ 4,\ 5} , given by R...

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  18. Show that the relation R on the set A={x in Z :0lt=xlt=12} , given by...

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  19. Show that the relation R on the set A of points in a plane, given by R...

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  20. Prove that the relation R on the set NxxN defined by (a ,\ b)R\ (c ,\ ...

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