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Construct the composition table for the composition of functions `(o)` defined on the `S={f_1,\ f_2,\ f_3,\ f_4}` of four functions from `C` (the set of all complex numbers) to itself, defined by `f_1(z)=z ,\ \ f_2(z)=-z ,\ \ f_3(z)=1/z ,\ \ f_4(z)=-1/z` for all `z in Cdot`

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Define a binary operation * on the set A={0,1,2,3,4,5} as a*b=a+b (mod...

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  2. Define a binary operation ** on the set A={1,\ 2,\ 3,4} as a**b=a b...

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  3. Construct the composition table for the composition of functions (o...

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  4. Construct the composition table for xx4 on set S={0,\ 1,\ 2,\ 3} .

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  5. Construct the composition table for +5 on set S={0,\ 1,\ 2,\ 3,\ 4}...

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  6. Construct the composition table for xx6 on set S={0,\ 1,\ 2,\ 3,\ 4...

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  7. Construct the composition table for xx5 on Z5={0,\ 1,\ 2,\ 3,\ 4} .

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  8. For the binary operation xx(10) on set S={1,\ 3,\ 7,\ 9} , find the...

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  9. For the binary operation xx7 on the set S={1,\ 2,\ 3,\ 4,\ 5,\ 6} ,...

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  10. Find the inverse of 5 under multiplication modulo 11 on Z(11) .

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  11. Write the multiplication table for the set of integers modulo 5.

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  12. Consider the binary operation * and o defined by the following t...

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  13. Define a binary operation * on the set A={0,1,2,3,4,5} as a*b=a+b (mod...

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  14. Write the identity element for the binary operations * on the set R0...

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  15. On the set Z of all integers a binary operation ** is defined by a**...

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  16. Define a binary operation on a set.

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  17. Define a commutative binary operation on a set.

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  18. Define an associative binary operation on a set.

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  19. Write the total number of binary operations on a set consisting of ...

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  20. Write the identity element for the binary operation * defined on the...

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