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Given the relations R2 = {(x,y): x,y in ...

Given the relations `R_2 = {(x,y): x,y in N` and `x^2 + y^2 le 10}`.

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Dom `(R_2) = {1,2,3,}, range (R_2) = {1,2,3}`
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A N EXCEL PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. If A = {1,2,3}, B = {3,4} and Prove that A xx B not= B xx A

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  2. Given the relations R1 = {(x,y) : x,y in N and x + y = 6}

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  3. Given the relations R2 = {(x,y): x,y in N and x^2 + y^2 le 10}.

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  4. If A = {a,b}, write all relation on A

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  5. Find the domain and range of the relation R = { (x,y) :y=x^3,x is a po...

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  6. Find the number of relations which can be defined from P = {1,2,3} to ...

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  7. If A = {1,2,3} and f is a relation on A defined as follows, then find ...

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  8. If A = {1,2,3} and g is relation on A defined as follows, then which o...

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  9. If A = {1,2,3} and h is a relation on A defined as follows, then which...

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  10. Let f : x toY be a function defined by f(x) = x^2 + 1 for all x in X w...

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  11. Let f : x to Y be a function defined by f(x) = x^2 + 1 for all x in X ...

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  12. Let f : x to Y be a function defined by f(x) = x^2 + 1 for all x ∈ X ...

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  13. Find the domain and range of the function f (x) = sqrt( x^2 - 3x +2)

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  14. Draw the graph of the function f(x) = (x^2 - 4)/(x +2)

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  15. Find the domain and the range of the functions f(x) = 1/(2x-1)

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  16. Find the domain and the range of the functions f(x) = x^3

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  17. Let f(x) = x^2 - 2x + 3. Then find f (f (x) )

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  18. If f (x) =1/(1 - x) , show that f(f(f(x))) = x

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  19. Find the domain and range of the function f = {(x, (x^2 -1)/(x - 1)): ...

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  20. If f (x) = x^3 + 1 and g (x) = x + 1, find f + g, f - g, af (a in R),f...

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