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Byju's Answer
Standard XII
Mathematics
Bijective Function
Let A = x, ...
Question
Let
A
=
{
x
,
y
,
z
}
,
B
=
{
a
,
b
,
c
}
and
f
:
A
→
B
be defined by
f
(
x
)
=
a
,
f
(
y
)
=
b
,
f
(
z
)
=
c
. This function is
A
surjective but not injective
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B
injective but not surjective
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C
bijective
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D
none of these
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Solution
The correct option is
C
bijective
Clearly function is one-one. Also Range and co-domain are same.
Hence given function
f
is bijective.
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0
Similar questions
Q.
Let
A
=
{
x
,
y
,
z
}
,
B
=
{
u
,
v
,
w
}
. Then the function
f
:
A
→
B
defined by
f
(
x
)
=
u
,
f
(
y
)
=
v
,
f
(
z
)
=
w
is
Q.
Let
A
=
{
x
,
y
,
z
}
,
B
=
{
u
,
v
,
w
}
and
f
:
A
→
B
be defined by
f
(
x
)
=
u
,
f
(
y
)
=
v
,
f
(
z
)
=
w
. Then
f
is
Q.
Given
A
=
x
,
y
,
z
,
B
=
u
,
v
,
w
, the function
f
:
A
→
B
defined by
f
(
x
)
=
u
,
f
(
y
)
=
v
,
f
(
z
)
=
w
is
Q.
Given
A
=
x
,
y
,
z
,
B
=
u
,
v
,
w
, the function
f
:
A
→
B
defined by
f
(
x
)
=
u
,
f
(
y
)
=
v
,
f
(
z
)
=
w
is
Q.
Given
A
=
x
,
y
,
z
,
B
=
u
,
v
,
w
, the function
f
:
A
→
B
defined by
f
(
x
)
=
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,
f
(
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)
=
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,
f
(
z
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=
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is
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