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If a ** b = sqrt(a^(2) + b^(2)) on the r...

If `a ** b = sqrt(a^(2) + b^(2))` on the real numbers then `**` is

A

commutative but not associative

B

associative but not commutative

C

both commutative and associative

D

neither commutative nor associative

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The correct Answer is:
C
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PREMIERS PUBLISHERS-DISCRETE MATHEMATICS-Solution To Exercise 12.3
  1. A binary operation on a set S is a function from

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  2. Subtraction is not binary operation in

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  3. Which one of the following is a binary operation on N?

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  4. In the set R of real number ** is defined as follows. Which one of the...

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  5. The operation ** defined by a ** b =(ab)/7 is not a binary operation o...

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  6. In the set Q define a odot b =a+b+ab. For what value of y, 3 odot (y o...

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  7. If a ** b = sqrt(a^(2) + b^(2)) on the real numbers then ** is

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  8. Which one of the following statements has the truth value T?

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  9. Which one of the following statements has truth value F?

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  10. If a compound statement involves 3 simple statements, then the number ...

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  11. Which one is the inverse of the statement (p vee q) to (p wedge q)?

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  12. Which one is the contrapositive of the statement (p vee q) to r?

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  13. The truth table for (p wedge q) vv -q is given below: Which of th...

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  14. In the last column of the truth table for ~(p vee ~q) the number of fi...

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  15. Which one of the following is incorrect? For any two propostitions p a...

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  16. Which one of the following is correct for the truth value of (p ^^ q) ...

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  17. The dual of ~(p vee q) vee [p vee (p wedge ~r)] is

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  18. The proposition p wedge (~p vee q) is

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  19. Determine the truth value of each of the following statements: (a) 4...

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  20. Which one of the following is not true?

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