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If X""=""{4^n-3n-1"":""n in N}""a n d""...

If `X""=""{4^n-3n-1"":""n in N}""a n d""Y""=""{9(n-1)"": n in N}` , where N is the set of natural numbers, then `XuuY` is equal to

A

N

B

`Y-X`

C

X

D

Y

Text Solution

Verified by Experts

The correct Answer is:
D
We have, `X={4^(n)-3n-1:n in N}`
`implies" "X={0,9,54,243,...}" "["put "n=1,2,3,...]`
and `" "Y={9(n-1):ninN}`
`implies" "Y={0,9,18,27,...}" "["put "n=1,2,3,...]`
It is clear that `X sub Y`.
`:." "X uu Y = Y`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SETS, RELATIONS AND FUNCTIONS-Exercise 2 (MISCELLANEOUS PROBLEMS)
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  2. Let X and Y be the sets of all positive divisions of400 and 1000 respe...

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  7. {n(n+1)(2n+1):n in Z} is a subset of

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  8. Consider the following relations: R = {(x, y) | x, y are real numbers ...

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  9. If A={x,y,z}" and "B={a,b,c,d}. Then, which one of the following is no...

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  10. Let r be relation from R (set of real numbers) to R defined by r={(a,b...

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  11. Let R = {(x, y) : x, y in N and x^2-4xy+3y^2 = 0}, where N is the set...

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  12. Let R be the real line. Consider the following subsets of the plane ...

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  13. If R is a relation defined as aRb, "if"|a-b|gt0, then the relation is

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  14. The total number of injections (one-one and into mappings) form {a(1),...

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  15. The function f : [0,oo)to[0,oo) defined by f(x)=(2x)/(1+2x) is

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  16. If A={1,2,3,4}" and "B={1,2,3,4,5,6} are two sets and function f: A to...

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  17. The period of f(x)=sin(sin(x)/(5)), is

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  18. Domain of the function f(x) = log(sqrt(x-4)+sqrt(6-x))

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  19. The domain of the function f(x)=sin^(-1){(log)2(x^2)/2} is given by

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  20. The range of f(x)=cosx-sinx is

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  21. If f: R toS, defined by f(x) = sin x -sqrt(3) cos x + 1, is onto then ...

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