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Let '*' be the binary operation on Q. Fi...

Let '*' be the binary operation on Q. Find which of the following binary operatoins are commutative :
`a*b = a^2 + b^2 AA a,b in Q`

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
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  2. Let '*' be the binary operation on Q. Find which of the following bina...

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  3. Let '*' be the binary operation on Q. Find which of the following bina...

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  4. Let '*' be the binary operation on Q. Find which of the following bina...

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  5. Let '*' be the binary operation on Q. Find which of the following bina...

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  6. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

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  7. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

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  8. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

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  9. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

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  10. Is the binary operation'*' defined on Z (set of integers) by m*n = m-n...

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  11. Let f : X rarr Y be an function. Define a relation R in X given by : R...

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  12. If R1 and R2 are equivalence relations in a set A, show that R1 nn R...

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  13. Show that the number of equivalence relation in the set {1, 2, 3} cont...

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  14. Show that the number of equivalence relation in the set {1, 2, 3} cont...

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  15. Let A = {1,2,3}. Then show that the nmber of relations (1,2) and (2,3)...

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  16. Find the number of all one-one functions from set A = {1, 2, 3} to its...

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  17. Find the number of all onto functions formthe set {1,2,3,….,n} to itse...

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  18. Give examples of two one-one function f1 and f2 from R to R such that ...

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  19. Show that if f1 and f2 are one-one maps from r to R, then the product....

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  20. Lert f : X rarr Y be such that fof = f. Show that f is onto if and onl...

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