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Give an example of a relation which is s...

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

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V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Show that the relation R on the set A={1,\ 2,\ 3,\ 4,\ 5} , given by R...

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

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

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

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

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  6. Show that the relation R defined in the set A of all polygons as R=...

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  7. Let L be the set of all line in XY place and R be the relation in L de...

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  8. Let R be the relation in the set {1,2,3,4,} given by R = {(1,2),(2,2)...

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  9. Let R be the relation in the set N given by R={(a,b):a=b -2,b gt 6} c...

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  10. Let A be the set of all 50 students of class X in a school. Let f : A...

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  11. The function f:NtoN given by f(x)=2x

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  12. Prove that the function f: R rarr R given by f(x)=2 x is one-one and o...

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  13. Show that the function f: N rarr N, given by f(1)=f(2)=1 and f(x)=x-1,...

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  14. Check the injective and surjective of the following functions : f : R ...

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  15. Show that f : N rarr N given by f(x) = { ((x +1), if x is odd), ((x ...

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  16. Check the injectivity and surjectivity of the following functions f:...

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  17. Prove that the greatest integer function f : R rarrR given by f(x) =[x...

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  18. Show that the modulus function f: R rarr R given by f(x) = |x|, is nei...

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  19. Show that the signum function f : R rarr R given by f(x)= {(1,if x gt ...

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  20. Let A = {1, 2, 3}, B { 4, 5, 6} and let f = {(1,4),(2,5)(3,6)} be a fu...

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