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Is it true that every relation which is ...

Is it true that every relation which is symmetric and transitive is also reflexive? Give reasons.

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

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

Let R be a relation defined by R={(a, b): a >= b, a, b in RR} . The relation R is (a) reflexive, symmetric and transitive (b) reflexive, transitive but not symmetric (c) symmetric, transitive but not reflexive (d) neither transitive nor reflexive but symmetric

Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)} . Then, R is reflexive and symmetric but not transitive (b) R is reflexive and transitive but not symmetric (c) R is symmetric and transitive but not reflexive (d) R is an equivalence relation

Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)} . Then, R is (a) reflexive and symmetric but not transitive (b) R is reflexive and transitive but not symmetric (c) R is symmetric and transitive but not reflexive (d) R is an equivalence relation

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

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

Let w denote the words in the english dictionary. Define the relation R by: R = {(x,y) in W xx W | words x and y have at least one letter in common}. Then R is: (1) reflexive, symmetric and not transitive (2) reflexive, symmetric and transitive (3) reflexive, not symmetric and transitive (4) not reflexive, symmetric and 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

Given the relation R={(1,2),(2,3)} on the set A={1,2,3}, add a minimum number of ordered pairs so that the enlarged relation is symmetric, transitive and reflexive.

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

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  2. Let R be a relation defined on the set of natural numbers N as R={(...

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  3. Is it true that every relation which is symmetric and transitive is...

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  4. An integer m is said to be related to another integer n if m is a mult...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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