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Is * defined by a*b=(a+b)/2 is binar...

Is * defined by `a`*`b=(a+b)/2` is binary operation on Z.

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Which of the following is true? * defined by (a) a*b=(a+b)/2 is a binary operation on Z (b) * defined by a*b=(a+b)/2 is a binary operation on Q (c) all binary commutative operations are associative (d) subtraction is a binary operation on N

Define a binary operation on a set.

Let S be the set of all rational numbers of the form m/n , where m in Z and n=1,\ 2,\ 3. Prove that * on S defined by a*b=a b is not a binary operation.

Determine whether or not the definition of * On R , define by a*b=a b^2 gives a binary operation. In the event that * is not a binary operation give justification of this. Here, Z^+ denotes the set of all non-negative integers.

Determine whether or not the definition of * On Z^+ , defined * by a*b=a b gives a binary operation. In the event that * is not a binary operation give justification of this. Here, Z^+ denotes the set of all non-negative integers.

Determine whether or not the definition of * On Z^+ , define * by a*b=a gives a binary operation. In the event that * is not a binary operation give justification of this. Here, Z^+ denotes the set of all non-negative integers.

Determine whether or not the definition of * On R , define * by a*b=a+4b^2 gives a binary operation. In the event that * is not a binary operation give justification of this. Here, R denotes the set of all real numbers.

Determine whether or not the definition of * On Z^+ , defined * by a * b=a-b gives a binary operation. In the event that * is not a binary operation give justification of this. Here, Z^+ denotes the set of all non-negative integers.

Determine whether or not the definition of * On Z^+ , define * by a*b=|a-b| gives a binary operation. In the event that * is not a binary operation give justification of this. Here, Z^+ denotes the set of all non-negative integers.

On the set W of all non-negative integers * is defined by a*b=a^b . Prove that * is not a binary operation on Wdot

RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. On the power set P of a non-empty set A, we define an operation * by ...

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  2. If the binary operation * on Z is defined by a*b=a^2-b^2+a b+4 , then ...

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  3. Is * defined by a*b=(a+b)/2 is binary operation on Z.

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  4. Let '*' be a binary operation on N given by a*b=LdotCdotMdot(a , b) fo...

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  5. On the set M=A(x)={[xxxx]: x in R}of2x2 matrices, find the identity ...

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  6. Let +6 (addition modulo 6) be a binary operation on S={0,\ 1,\ 2,\ ...

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  7. Let A=Q x Q and let * be a binary operation on A defined by (a , b)*(c...

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  8. Let A=NxN , and let * be a binary operation on A defined by (a , b)*(...

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  9. Discuss the commutativity and associativity of binary operation * d...

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  10. Let * be a binary operation on N, the set of natural numbers, defined ...

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  11. Let *, be a binary operation on N, the set of natural numbers defined ...

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  12. On Q, the set of all rational numbers, a binary operation * is defined...

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  13. Let * be a binary operation on set Q-[1] defined by a*b=a+b-a b for al...

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  14. Find dy/dx if 3x-4y=sinx

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  15. Let S={0,1,2,3,4} and * be an operation on S defined by a*b=r , where ...

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  16. Let S=(0,1,2,3,4,) and * be an operation on S defined by a*b=r , where...

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  17. Define a binary operation * on the set A={0,1,2,3,4,5} given by a\**b...

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  18. Let S={a+sqrt(2)b : a , b in Z}dot Then prove that an operation * on ...

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  19. Let A be a set having more than one element. Let '*' be a binary ope...

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  20. Let A=NxNa n d^(prime)*' be a binaryoperation on A defined by (a , b)*...

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