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

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

A

`{6k:kinZ}`

B

`{12k:kinZ}`

C

`{18k:kinZ}`

D

`{24k:kinZ}`

Text Solution

Verified by Experts

The correct Answer is:
A
Let `A={n(n+1)(2n+1):ninZ}`
Putting `n=+-1,+-2,…`, we get
`A={...-30,-6,0,6,30,...}`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SETS, RELATIONS AND FUNCTIONS-Exercise 2 (MISCELLANEOUS PROBLEMS)
  1. If n(A)=4,n(B)=3" and "n(AxxBxxC)=24, then n(C) is equal to

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The domain of the function f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))), is

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  19. If f(0)=1,f(1)=5" and "f(2)=11, then the equation of polynomial of deg...

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  20. If f(x)=(a-x^(n))^(1//n),"where a "gt 0" and "n in N, then fof (x) is ...

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