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If X and Y are two sets, then X nn (Y nn...

If X and Y are two sets, then `X nn (Y nn X)' `equals

A

X

B

Y

C

`phi`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
`Xnn(YnnX)'=Xnn(Y'uuX')`
`=(XnnY')uu(XnnX')`
`=(XnnY')uuphi=XnnY`'
`=X-(XnnY)`
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ARIHANT MATHS-SETS, RELATIONS AND FUNCTIONS -Exercise (Single Option Correct Type Questions)
  1. If R is a relation from a set A to a set B and S is a relation from B ...

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  2. Let R = {(1, 3), (2, 2), (3, 2)} and S = {(2, 1), (3, 2), (2, 3)} be t...

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  3. If X and Y are two sets, then X nn (Y nn X)' equals

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  4. For real numbers x and y, we write x* y, if x - y +sqrt2 is an irratio...

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  5. Let f(x) = (x+1)^(2) - 1, (x ge - 1). Then, the set S = {x : f(x) = f^...

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  6. The number of elements of the power set of a set containing n elements...

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  7. Which one of the following is not true?

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  8. If A = {1, 2, 3} and B = {3, 8}, then (A uu B) xx (A nn B)is

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  9. Let A = {p, q, r}. Which of the following is an equivalence relation ...

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  10. Let A = {x : x is a multiple of 3} and B = {x : x is a multiple of 5),...

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  11. Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, the Auu(BnnC) is

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  12. Let A = {x, y, z), B = {u, v, w} and f : A rarr B be defined by f(x) =...

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  13. If A = {2, 4) and B = {3, 4, 5), then (A nn B) xx (A uu B) is

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  14. In the set X = {a, b, c, d}, which of the following functions in X?

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  15. The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...

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  16. Which of the following is the empty set

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  17. In order that a relation R defined on a non-empty set A is an equivale...

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  18. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

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  19. For n,mepsilonN,n|m means that n is a factor of m then relation | is

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  20. The solution of 8x = 6 (mod 14) is

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