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Byju's Answer
Standard XII
Mathematics
Venn Diagram
A ⊂ B then sh...
Question
A
⊂
B
then show that
A
∩
B
=
A
(use Venn diagram).
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Solution
Since
A
is the subset of
B
, therefore, we have to draw a small circle
A
inside the large circle
B
.
A
∩
B
means we have to shade common part of
A
and
B
.
The venn diagram is drawn below:
Hence, from the above venn diagram, we clearly observe that
A
∩
B
=
A
.
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Similar questions
Q.
If
A
⊂
B
then show that
A
∪
B
=
B
(use Venn diagram).
Q.
Let A = {a, b, c, d} B = {a, c , e} and C ={a, e}
(i) Show that
A
∩
(
B
∩
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)
=
(
A
∩
B
)
∩
C
.
(ii) Verify (i) using Venn diagram.
Q.
U
=
{
a
,
b
,
c
,
d
,
e
,
f
,
g
}
,
(
A
′
)
=
{
b
,
d
,
f
}
, show that Venn diagram.
Q.
Prove that :
A
−
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B
∪
C
)
=
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A
−
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∩
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)
without using venn diagram.
Q.
Use Venn diagrams to verify
(
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∩
B
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′
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∪
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