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If P= {x: x lt 3, x in N}, Q = {x : x le...

If `P= {x: x lt 3, x in N}, Q = {x : x le 2, x in W}` then find `(P uu Q) xx (P nn Q)`, where W is the set of whole numbers.

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The correct Answer is:
`{(0, 1), (0, 2), (1,1), (1,2), (2, 1), (2,2)}`
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS-Solutions of NCERT Exemplar Problems
  1. If A= {-1, 2, 3} and B= {1, 3}, the determine B xx B

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  2. If A= {-1, 2, 3} and B= {1, 3}, the determine A xx A

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  3. If P= {x: x lt 3, x in N}, Q = {x : x le 2, x in W} then find (P uu Q)...

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  4. If A = {x: x in W, x lt 2}, B= {x: x in N, 1 lt x lt 5} and C= {3, 5},...

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  5. If A = {x: x in W, x lt 2}, B= {x: x in N, 1 lt x lt 5} and C= {3, 5},...

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  6. In each of the following cases, find a and b. (2 a + b, a-b)= (8, 3)

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  7. In each of the following cases, find a and b. ((a)/(4), a- 2b)= (0,...

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  8. A = {1, 2, 3, 4, 5}, S= {(x,y) : x in A, y in A}, then find the ordere...

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  9. x+y lt 5

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  10. A = {1, 2, 3, 4, 5}, S= {(x,y) : x in A, y in A}, then find the ordere...

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  11. If R= {(x,y): x, y in W, x^(2)+ y^(2)= 25}, then find the domain and r...

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  12. R1={(x,y)|y=2x+7,yin R and x in [-5,5]} Then range of R1 …...... .

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  13. If R(2)= {(x,y)|x and y are integers and x^(2) + y^(2)= 64} is a rela...

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  14. If R(3) = {(x, |x|),x " is a real number"} is a relation, then find do...

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  15. Is the given relation a function? Give reason for your answer. h= {(...

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  16. Is the given relation a function? Give reason for your answer. f = {...

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  17. Is the given relation a function? Give reason for your answer. g= {(...

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  18. Is the given relation a function? Give reason for your answer. s= {(...

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  19. Is the given relation a function? Give reason for your answer. t= {...

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  20. If f and g are real functions defined by f(x)= x^(2) + 7 and g(x)= 3x ...

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