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Byju's Answer
Standard XII
Mathematics
Properties of Determinants
Which is corr...
Question
Which is correct for
f
(
x
)
=
x
|
x
−
2
|
for
x
∈
(
0
,
∞
)
A
Local minima at
x
=
1
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B
No extrema at
x
=
2
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C
Local maxima at
x
=
2
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D
Local maxima at
x
=
1
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Solution
The correct option is
D
Local maxima at
x
=
1
f
(
x
)
=
x
|
x
−
2
|
=
{
x
2
−
2
x
,
x
≥
2
2
x
−
x
2
,
0
<
x
<
2
Graph of
f
(
x
)
will be:
⇒
Local maxima at
x
=
1
⇒
Local minima at
x
=
2
Suggest Corrections
0
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Properties of Determinants
Standard XII Mathematics
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