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Standard XII
Mathematics
Question
If
y
=
a
sin
x
+
b
cos
x
, then
y
2
+
(
d
y
d
x
)
2
is a
Function of x
Function of y
Function of x and y
Constant
A
Function of x
B
Function of y
C
Constant
D
Function of x and y
Open in App
Solution
Verified by Toppr
The correct option is
D
Constant
y
=
a
s
i
n
x
+
b
c
o
s
x
d
y
d
x
=
a
c
o
s
x
−
b
s
i
n
x
y
2
+
(
d
y
d
x
)
2
=
(
a
s
i
n
x
+
b
c
o
s
)
2
+
(
a
s
i
n
x
−
b
s
i
n
x
)
2
=
a
2
s
i
n
2
x
+
2
a
b
s
i
n
x
c
o
s
x
+
b
2
c
o
s
2
x
+
a
2
s
i
n
x
−
2
a
b
s
i
n
x
c
o
s
x
+
b
2
s
i
n
2
x
=
a
2
s
i
n
2
x
+
b
2
c
o
s
2
x
+
a
2
s
i
n
2
x
+
b
2
s
i
n
2
x
=
a
2
(
s
i
n
2
+
c
o
s
2
x
)
+
b
2
(
s
i
n
2
x
+
c
o
s
2
x
)
=
a
2
+
b
2
is a constant
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Similar Questions
Q1
If
y
=
a
sin
x
+
b
cos
x
, then
y
2
+
(
d
y
d
x
)
2
is
View Solution
Q2
If
y
=
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sin
x
+
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cos
x
, then prove that
d
2
y
d
x
2
+
y
=
0
.
View Solution
Q3
State whether the statement is true/false.
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, then
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+
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(
a
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b
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b
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+
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)
, then
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View Solution
Q5
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,
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