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Byju's Answer
Standard XII
Mathematics
Definition of Function
Which among t...
Question
Which among the following relations defined on
R
is/are functions
A
(
i
)
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B
(
i
i
)
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C
(
i
v
)
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D
(
v
)
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Solution
The correct option is
D
(
v
)
We know that if a vertical line parallel to
y
axis for the curve cuts the graph at one point then it represents a function.
∴
(
i
)
,
(
i
v
)
,
(
v
)
represents functions
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Similar questions
Q.
Which among the following relations defined on
R
is/are functions
Q.
Which among the following functions from
R
to
R
is not one-one function.
Q.
The function
f
:
R
→
R
defined by
f
(
x
)
=
[
x
]
2
+
[
x
+
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−
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(where [.] represents the greatest integer function). Then which of the following is/are true?$
Q.
Let
R
be a relation defined on
N
as
R
=
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(
x
,
y
)
:
y
=
2
x
+
3
,
x
,
y
∈
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}
then which of the following is true
Q.
Let the function
f
:
R
→
R
be defined by
f
(
x
)
=
x
3
−
x
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+
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x
−
1
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sin
x
and let
g
:
R
→
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be an arbitrary function. Let
f
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→
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be the product function defined by
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(
x
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g
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Then which of the following statements is/are TRUE?
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Definition of Function
Standard XII Mathematics
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