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Let A={1,2,3}and Let R={(1,1),(2,2),(...

Let `A={1,2,3}and Let R={(1,1),(2,2),(3,3),(1,3),(3,2),(1,2)}` then R is

A

Reflexive and symmetric but not transitive

B

Reflexive and transitive but not symmetric

C

Symmetric and transitive but not reflexive

D

An equivalence relation.

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The correct Answer is:
B
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MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Objective Type Questions (A. Multiple Choice Questions)
  1. Let R be a relation on the set N of natural numbers defined by n\ R\ m...

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  2. Set A has 3 elements and the set B has 4 elements. Then, the number of...

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  3. Let f:RrarrR be defined by f(x)=sinx and g:RrarrR be defined by g(x)=x...

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  4. Let f:RrarrR be defined by f(x)=x^(2)+1. Then pre-images of 17 and - 3...

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  5. Let f:RrarrR be defined by : f(x)={(2x,,xgt3),(x^(2),,1ltxlt3),(3x,,...

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  6. If f(x)=logx and g(x)=e^(x), then (fog) (x) is:

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  7. If f(x)=|x|andg(x)=x-2, then gof is equal to:

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  8. Consider the set Q with binary operation '**' as: a**b=(ab)/(4). The...

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  9. If f:RrarrR be given by f(x)=(3-x^(3))^(1//3), then f^(-1)(x) equals:

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  10. The number of one-one functions from a set containing 2 elements to a ...

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  11. Let R be a relation on the set N given by R={(a ,\ b): a=b-2,\ b >6}do...

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  12. Let f:RrarrR be defined as f(x)=2x.

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  13. If f(x)=log(1+x)andg(x)=e^(x), then the value of (gof) (x) is :

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  14. Let A={(a,b)}AAa,binN. Then the relation R is :

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  15. The domain of the function f(x)=(x)/(|x|) is :

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  16. If a binary operation is defined by a**b=a^(b), then 3**2 is equal to ...

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  17. Let f:RrarrR be defined as f(x)=x^(4). Then :

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  18. Consider the set A={1,2,3,4}. Which of the following relations R form ...

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  19. Let A={1,2,3}and Let R={(1,1),(2,2),(3,3),(1,3),(3,2),(1,2)} then R...

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  20. Let R be a relation defined on A={1,2,3} by : R={(1,3),(3,1),(2,2)}....

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