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Universal set, U={x|x^(5)-6x^(4)+11x^...

Universal set,
`U={x|x^(5)-6x^(4)+11x^(3)-6x^(2)=0}`
`A={x|x^(2)-5x+6=0}`
`B={x|x^(2)-3x+2=0}`
What is `(AnnB)`' equal to ?

A

`{1,3}`

B

`{1, 2, 3}`

C

`{0, 1, 3}`

D

`{0, 1, 2, 3}`

Text Solution

Verified by Experts

The correct Answer is:
C
`U={x:x^(5)-6x^(4)+11x^(3)-6x^(2)=0}={0,1,2,3}`
`A={x:x^(2)-5x+6=0}={2,3}`
and `" "B={x:x^(2)-3x+2=0}={2,1}`
`:.(A nn B)'=U-(A nn B)={0,1,2,3}-{2}={0,1,3}`
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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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  3. If A={x,y} then power set of A is

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  4. If A={x:x" is a multiple of 3"} and B={x:x" is a multiple of 5"}. Th...

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  5. If n(A)=4,n(B)=3" and "n(AxxBxxC)=24, then n(C) is equal to

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  6. The number of elements in the set {(a, b) : 2a^2 + 3b^2 = 35. a . b i...

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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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