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A relation R on a set A is called an equ...

A relation R on a set A is called an equivalence relation iff

A

it is reflexive

B

it is symmetric

C

it is transitive

D

it is reflective, symmetric and transitive

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The correct Answer is:
D
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OMEGA PUBLICATION-RELATIONS AND FUNCTIONS -M.C.Q
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  3. Let O (A) = m, O(B) = n . Then the number of relations from A to B ...

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  4. A relation R on a set A is called an equivalence relation iff

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  5. If r is a relation on a finite set having n elements, then the num...

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  6. Let A be a set containing 10 distinct elements. Then the total number ...

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  7. The domain of the function f(x) = sqrt(x - 1) + sqrt(6 - x) is

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  8. Find domain for y=1/sqrt(abs(x)-x).

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  9. If the domain of the function f (x) = x^(2) - 6 x + 7 is (-infty, i...

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  10. The range of the function for real x of y = (1)/( 2 - sin 3 x) is

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  11. The range of f (x) = ( 1 + x^(2))/( x^(2))

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  12. f (x) = (| x|)/( x) , x ne 0 then the value of function

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  13. If x ne 1 and f(x) = ( x + 1)/( x - 1) is a real function, then f(f(...

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  14. If f (x) = (2 x + 1)/( 3 x - 2) , then (fof) (2) is equal to

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  15. The relation R defined on N as {(a,b): a^(2) + b^(2) lt 16} is give...

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  16. If A = {0,1} B = {1,2} , c = {2,3} ," then" (A xx B) cap (A xx C) =

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  17. If A be an empty set and B be a finite set having n elements then the...

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  18. If f(x) = (x- 1)/( x + 1) , then f (2 x) is

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  19. The domain of definition of the function f (x) = log |x| is given by

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