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For the set A = (1,2,3) define a relatio...

For the set A = (1,2,3) define a relation R on the set A as follows:
`R = (1,1), (2,2),(3,3), (1,3)`. Write the ordered paris to be added to R to make it the smallest equivalence relation.

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let A = {0, 1, 2, 3} and define a relation R on A as follows : R = {...

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  2. Let A = {0, 1, 2, 3} and define a relation R on A as follows : R = {...

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  3. For the set A = (1,2,3) define a relation R on the set A as follows: ...

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  4. Write the number of symmetric relations that can be defined on the set...

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  5. State the reason for the relation R, in the set {1,2,3} given by R= {(...

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

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  7. If R = (x,y) , xy = 12 is a relation on N, write the domain of R.

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  8. Show that -a is not the inverse of a in N for the addition operati...

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  9. Let R be a relation from a set A to a set B, then:

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  10. What is the set builder form of the set {1,2,3}.

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  11. The number of relations that can be defined on the set {x,y,z} is:

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  12. A vertical line meets the graph of a function in:

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  13. If f = (1.4), (2,5), (3,5) and g = (4,6),(5,6) be two function then fi...

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  14. The number of bijective functions from the set A to itsef, if A contai...

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  15. What is the domain of the function f(X) = (1)/(x-1)?

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  16. if 'f' is the function form R to R defined by the rule f(x) = x^2 - 3 ...

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  17. Consider the function f(x) = x^2 defined on R. find the set f^-1 (1,-1...

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  18. In order that a relation R defined on a non-empty set A is an equivale...

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  19. If f(x) = (x -2)/(x-3), x ne 3, Examine whether f(x) is invertible or ...

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  20. In order that a relation R defined on a non-empty set A is an equivale...

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