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Byju's Answer
Standard XII
Mathematics
Greatest Integer Function
The equation ...
Question
The equation to the normal to the curve
y
=
sin
x
at
(
0
,
0
)
is
A
x
=
0
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B
y
=
0
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C
x
+
y
=
0
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D
x
−
y
=
0
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Solution
The correct option is
C
x
+
y
=
0
Given:
y
=
sin
x
To find: Eq. of normal to curve at
(
0
,
0
)
Solution:
y
=
sin
x
d
y
d
x
=
cos
x
d
y
d
x
]
(
0
,
0
)
=
cos
0
=
1
Eq. of normal:
Slope of normal
=
−
1
d
y
d
x
=
−
1
Eq. of normal at
(
0
,
0
)
⇒
y
−
0
=
−
1
(
x
−
0
)
y
=
−
x
y
+
x
=
0
∴
x
+
y
=
0
is the required.
Eq. of normal to curve
y
=
sin
x
at
(
0
,
0
)
.
Suggest Corrections
0
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