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Byju's Answer
Standard XII
Mathematics
Implicit Differentiation
If x2-4x+5-...
Question
If
x
2
−
4
x
+
5
−
sin
y
=
0
,
y
∈
[
0
,
2
π
)
, then
A
x
=
1
,
y
=
0
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B
x
=
1
,
y
=
π
2
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C
x
=
2
,
y
=
0
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D
x
=
2
,
y
=
π
2
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Solution
The correct option is
D
x
=
2
,
y
=
π
2
(
x
−
2
)
2
+
1
=
sin
y
Since,
1
>
sin
y
>
−
1
, the only possible value of
x
is 2.
∴
sin
y
=
1
y
=
π
2
at
x
=
2
Hence, option 'D' is correct.
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