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If (A uu B) nn (A nn B) = A , then which...

If `(A uu B) nn (A nn B) = A` , then which of the following is true ?

A

`AsubB`

B

`BsubA`

C

`A=varphi`

D

Both (a) and (c )

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The correct Answer is:
A
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Let A,B and C be sets such that A nn B sube C and A nn B!=phi. Then which of the following statements is not true?

If A and B and C are three non-empty sets, then which of the following is/are not true ? (A) n(A xx B) = n(B xx C) hArr n(A) = n(C) (B) A - (B nn C) = (A - B) nn (A - C) (C ) A uu (B nn C) = (A uu B) nn (A uu C) (D) (A nn B) - C = (A-C) nn (B - C)

If A and B are disjoint sets, then A nn (A' uu B) is equal to which one of the following?

If n(A) = 6 and n(B) = 8 and n(A nn B) = 4 , then find n(A Delta B) . The following are the step involved in solving the above problem . Arrange them in sequnential order. (a) n (A uu B) = n(A) + n(B) - n(A nn B) (b) n(A uu B) = 10 (c ) n(A uu B) =6+8-4 (d) n(A Delta B) = 10-4= 6 (e) n(A Delta B) = n(A uu B) - n(A nn B) .

A uu B = (AB) uu (BA) uu (A nn B)

PEARSON IIT JEE FOUNDATION-SETS-CONCEPT APPLICATION (LEVEL 1)
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  6. If P and Q are sets having 5 elements in com-mon, then how many elemen...

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  7. If (A uu B) nn (A nn B) = A , then which of the following is true ?

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  9. If A DeltaB = {1,2,3,4,5,6,7,8,9,11,13} and B = {4,5,6,8,11,13} then f...

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  12. If A and B are two non - empty equivalent sets, then a possible value ...

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  19. If n(A) = 6 and n(B) = 8 and n(A nn B) = 4, then find n(A Delta B). ...

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  20. If A and B are two non-empty sets and A - B is a null set, then "".

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