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What is the partition of the set `{1,2}` induced by the equivalence relation `{(1,1),(2,2)}` ?

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USHA PUBLICATION-RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING-EXERCISE
  1. Mark as true (T) or false (F). The relation R={(1,1),(2,2),(3,3)} on t...

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  2. What is the total number of relations from a set A to set B, where abs...

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  3. What is the partition of the set {1,2} induced by the equivalence rela...

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  4. Let R={(x,y):xlty,x,yinN}. Check if R is reflexive, symmetric or trans...

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  5. If a relation is symmetric and transitive on any non-empty set, then i...

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  6. Let R be a relation in the set of natural numbers N defined by xRy if ...

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  7. Write true or false in the following with reason or by suitable exampl...

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  8. Write true or false in the following with reason or by suitable exampl...

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  9. Compute the following remainder function. r3(185)

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  10. Compute the following remainder function. r6(-500)

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  11. Mark as true (T) or false (F). The function f:Rrightarrow[-1,1] define...

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  12. Mark as true (T) or false (F). The function f:RrightarrowR defined by ...

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  13. Mark as true (T) or false (F). The greatest integer function is not on...

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  14. Mark as true (T) or false (F). The identity function is an odd functio...

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  15. Mark as true (T) or false (F). Let f:RrightarrowR is defined by f(x)=x...

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  16. Mark as true (T) or false (F). Let absA=3,absB=5. Then the number of o...

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  17. Mark as true (T) or false (F). If absA=5,absB=2, then the number of on...

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  18. Let f(x)=x^2 and g(x)=sqrtx. Then find (gof)(4).

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  19. Find a linear function f which maps [-1,1] onto [0,2].

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  20. Find the range of the function f(x)=frac[1][2-sin3x]

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