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Standard XII
Mathematics
Definition of Sets
Question
Let
A
=
{
(
x
,
y
)
:
y
=
e
x
,
x
∈
R
}
B
=
{
(
x
,
y
)
:
y
=
e
−
x
,
x
∈
R
}
. Then
A
∩
B
=
ϕ
A
∩
B
≠
ϕ
A
∪
B
=
R
2
n
o
n
e
o
f
t
h
e
s
e
A
n
o
n
e
o
f
t
h
e
s
e
B
A
∩
B
=
ϕ
C
A
∩
B
≠
ϕ
D
A
∪
B
=
R
2
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Solution
Verified by Toppr
Ans.
(
b
)
.
y
=
e
x
,
y
=
e
−
x
,
meet where
e
x
=
e
−
x
or
e
2
x
=
1
∴
x
=
0
and hence
y
=
1
. These curve meet at
(
0
,
1
)
so that
A
∩
B
=
(
0
,
1
)
.
In other words
A
∩
B
≠
ϕ
.
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10
Similar Questions
Q1
Let
A
=
{
(
x
,
y
)
:
y
=
e
x
,
x
∈
R
}
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)
:
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=
e
−
x
,
x
∈
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}
. Then
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Q2
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∈
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, then write
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