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If A={1,\ 2,\ 3,\ 4} define relations on...

If `A={1,\ 2,\ 3,\ 4}` define relations on `A` which have properties of being symmetric but neither reflexive nor transitive.

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If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of being reflexive, symmetric and transitive.

If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of being reflexive, transitive but not symmetric.

If A = {1, 2, 3, 4}, define relations on A which have properties of being (i) reflexive, transitive but not symmetric. (ii) symmetric but neither reflexive nor transitive. (iii) reflexive, symmetric and transitive.

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

Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive.

Show that the relation R on the set A={1,\ 2,\ 3} given by R={(1,\ 2),\ (2,\ 1)} is symmetric but neither reflexive nor transitive.

Let L be the set of all lines in a plane and R be the relation in L defined as R={(L_1,L_2):L_1 (is perpendicular to L_2 } Show that R is symmetric but neither reflexive nor transitive.

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

The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is a) symmetric and transitive, but not reflexive b) reflexive and symmetric, but not transitive c) symmetric, but neither reflexive nor transitive d) an equivalence relation

Let A={1,\ 2,\ 3} and R={(1,\ 2),\ (2,\ 3),\ (1,\ 3)} be a relation on A . Then, R is (a)neither reflexive nor transitive (b)neither symmetric nor transitive (c) transitive (d) none of these

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Prove that every identity relation on a set is reflexive, but the c...

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  2. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

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  3. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

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  4. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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