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Let R be a relation on the set N of natu...

Let `R` be a relation on the set `N` of natural numbers defined by `n\ R\ m` iff `n` divides `mdot` Then, `R` is (a) Reflexive and symmetric (b) Transitive and symmetric (c) Equivalence (d) Reflexive, transitive but not symmetric

A

Reflexive and symmetric

B

Transitive and symmetric

C

Equivalence

D

Reflexive, transitive but not symmetric

Text Solution

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The correct Answer is:
D
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MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Objective Type Questions (A. Multiple Choice Questions)
  1. Consider a binary operation '**' on N defined as : a**b=a^(3)+b^(3). T...

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  2. Number of binary operations on the set {a, b} are (A) 10 (B) 16 (C)...

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  3. Let R be a relation on the set N of natural numbers defined by n\ R\ m...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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