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Byju's Answer
Standard XII
Mathematics
Definition of Sets
The set A= ...
Question
The set
A
=
{
x
:
x
∈
x
2
=
16
a
n
d
2
x
=
6
}
equals:
A
ϕ
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B
{
14
,
3
,
4
}
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C
{
3
}
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D
{
4
}
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Solution
The correct option is
A
ϕ
Since,
x
2
=
16
⇒
x
=
±
4
and
2
x
=
6
⇒
x
=
3
Hence, no value of
x
is satisfied.
∴
A
=
ϕ
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Q.
The set
A
=
{
x
:
x
ϵ
R
,
x
2
=
16
a
n
d
2
x
=
6
}
equals