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Number of binary operations on the set {...

Number of binary operations on the set {a, b} are (A) 10 (B) 16 (C) 20 (D) 8

A

10

B

16

C

20

D

8

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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