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Let O be the origin. We define a relatio...

Let `O` be the origin. We define a relation between two points `P` and `Q` in a plane if `O P=O Q` . Show that the relation, so defined is an equivalence relation.

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Let L be the set of all lines in X Y -plane and R be the relation in L...

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  2. Show that the relation R , defined on the set A of all polygons as R={...

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  3. Let O be the origin. We define a relation between two points P and ...

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  4. Let R be the relation defined on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7}...

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  5. Let S be a relation on the set R of all real numbers defined by S={(a ...

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  6. Let Z be the set of all integers and Z0 be the set of all non-zero int...

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  7. If R and S are relations on a set A , then prove the following: R and ...

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  8. If R and S are transitive relations on a set A , then prove that RuuS ...

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  9. Write the domain of the relation R defined on the set Z of integers as...

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  10. If R={(x ,\ y): x^2+y^2lt=4; x ,\ y in Z} is a relation on Z , write ...

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  11. Write the identity relation on set A={a ,\ b ,\ c} .

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  12. Write the smallest reflexive relation on set A={1,\ 2,\ 3,\ 4} .

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  13. If R={(x ,\ y): x+2y=8} is a relation on N , then write the range of R...

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  14. If R is a symmetric relation on a set A , then write a relation betwee...

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  15. Let R={(x ,\ y):|x^2-y^2|<1} be a relation on set A={1,\ 2,\ 3,\ 4,\ 5...

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  16. If A={1,2,\ 3,\ 4} , B={1,4,9,16,25} and R be a relation defined from ...

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  17. Let A={3,\ 5,\ 7} , B={2,\ 6,\ 10} and R be a relation from A to B def...

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  18. Define a reflexive relation.

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  19. Define a symmetric relation.

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  20. Define a transitive relation.

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