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The binary operation * defined on N by...

The binary operation * defined on `N` by `a*b=a+b+a b` for all `a ,\ b in N` is (a) commutative only (b) associative only (c) commutative and associative both (d) none of these

A

commutative only

B

associative only

C

both commutative and associative

D

None of these

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The correct Answer is:
C
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DISHA PUBLICATION-RELATIONS AND FUNCTIONS-2-EXERCISE-1: CONCEPT BUILDER (TOPICWISE) (TOPIC 3: Composite Function and Relation, Inverse of a Function, Binary Operations)
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  9. A binary operation * on the set {0,1,2,3,4,5} is defined as: a*b={...

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  10. Let * be a binary operation on N given by a*b=H C F\ (a ,\ b),\ \ a...

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  11. Show that the total number of binary operation from set A to A is n^(n...

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  13. If g(x)=x-2 is the inverse of the function f(x)=x+2, then graph of g(x...

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  14. Which of the following is not a binary operation on the indicated set?

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  15. If f(x) = -1 +|x-1|, -1 le x le 3 " and " g(x)=2-|x+1|, -2 le x le 2, ...

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  17. Let A={1,2,3,4,5} and functions f:A to and g: A to A to defined by f(1...

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  19. If f(x)=e^(x) and g(x)= log(e)x, hen which of the following is true?

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