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Let A be the set of all students of a bo...

Let `A` be the set of all students of a boys school. Show that the relation `R` in `A` given by `R`={(a, b): a is sister of b} is the empty relation and `R'`={(a, b): the difference between heights of a and b is less than 3 meters} is the universal relation.

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V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Let P={1,2,3} , Q={a, b} Find P x Q and Q x P

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  2. A={p, q, r}, B={m} Wrițe 'A x B' and all subs of 'A x B'.

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  3. Let A be the set of all students of a boys school. Show that the relat...

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  4. Let "T" be the set of all triangles in a plane with "R" as relation ...

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  5. Let L be the set of all lines in a plane and R be the relation in L...

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  6. Show that the relation R on the set A={1,\ 2,\ 3} given by R={(1,\ 1),...

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  7. Show that the relation R on the set Z of integers, given by R={(a ,\ b...

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

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  9. Determine whether each of the following relations is reflexive, symmet...

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  10. Show that the relation R in the set R of real numbers, defined at R={...

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  11. Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6}as R...

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  12. Show that the relation R on R defined as R={(a ,\ b): alt=b} , is refl...

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  13. Check whether the relation R on R defined by R={(a ,\ b): alt=b^3} is ...

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  14. Show that the relation R on the set A={1,\ 2,\ 3} given by R={(1,\ 2),...

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

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

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  17. Show that each of the relation R in the set A={x in Z: 0 le xle12},giv...

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

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  19. Show that the relation R. in the set A of all points in a place given ...

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  20. Show that the relation R. defined in the set A of all triangle as R={(...

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