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Byju's Answer
Standard XII
Mathematics
Monotonically Increasing Functions
If subnormal ...
Question
If subnormal of the curves
x
y
n
=
a
n
+
1
is of constant length, then find '
n
'.
A
1
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B
2
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C
−
2
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D
−
1
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Solution
The correct option is
B
−
1
Length of subnormal
=
∣
∣
∣
y
d
y
d
x
∣
∣
∣
x
y
n
=
a
n
+
1
⇒
y
=
(
a
n
+
1
x
)
1
/
n
d
x
y
n
+
n
y
n
−
1
x
d
y
=
0
d
y
d
x
=
−
y
n
n
x
y
n
−
1
d
y
d
x
=
−
y
n
x
y
d
y
d
x
=
−
1
n
x
×
a
n
+
1
n
x
1
/
n
∣
∣ ∣ ∣
∣
−
a
n
+
1
n
n
x
1
+
1
n
∣
∣ ∣ ∣
∣
⇒
1
+
1
n
=
0
n
=
−
1
Suggest Corrections
0
Similar questions
Q.
If the length of the subnormal at any point on the curve
x
y
n
=
a
n
+
1
is constant, then
n
=
Q.
Find the value of
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x
y
n
=
a
n
−
1
may be constant
Q.
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If the length of the subnormal at any point on the curve
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