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Byju's Answer
Standard XII
Mathematics
Union
For two sets ...
Question
For two sets
A
and
B
,
A
∩
(
A
∪
B
)
=
A
A
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B
B
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C
ϕ
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D
N
o
n
e
o
f
t
h
e
s
e
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Solution
The correct option is
A
A
(
A
∩
A
)
∪
(
A
∩
B
)
=
A
∪
(
A
∩
B
)
=
A
∵
A
∩
B
⊂
A
Suggest Corrections
0
Similar questions
Q.
For any two sets A and B , prove that :
A
∩
B
=
ϕ
⇒
A
⊆
B
′
.
Q.
Let
A
,
B
be two sets such that
A
∩
B
=
ϕ
, then
A
=
ϕ
and
B
=
ϕ
?
Q.
For two sets
A
,
B
(subsets of
U
),if
A
∩
B
=
ϕ
then find
A
′
∪
B
′
. Where
A
′
is the complement of the set
A
.
Q.
Let
A
and
B
be two sets such that
A
∩
B
=
ϕ
. Find the value of
(
A
∪
B
′
)
=
Q.
Let A , B, C be sets such that A
∩
B
≠
ϕ
, B
∩
C
≠
ϕ
and A
∩
C
≠
ϕ
. Do you claim that A
∩
B
∩
C
≠
ϕ
? Justify your answer.