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On the power set P of a non-empty set A,...

On the power set `P` of a non-empty set A, we define an operation * by `X * Y=( X^-nn Y) uu (X nn Y^- )` Then which are the following statements is true about `` 1) commutative and associative without an identity 2)commutative but not associative without an identity 3)associative but not commutative without an identity 4) commutative and associative with an identity

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Q^+ denote the set of all positive rational numbers. If the binary ope...

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  2. Let '*' be a binary operation on Q0 (set of all non-zero rational numb...

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  3. On the power set P of a non-empty set A, we define an operation * by ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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