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Byju's Answer
Standard XII
Mathematics
Point Form of Tangent: Hyperbola
The sum of th...
Question
The sum of the lengths of the tangent and normal at point
(
2
,
2
)
on the curve
x
5
=
2
y
4
is
A
18
√
41
10
units
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B
9
√
41
10
units
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C
3
√
41
10
units
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D
√
41
10
units
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Solution
The correct option is
B
9
√
41
10
units
x
5
=
2
y
4
⇒
5
x
4
=
8
y
3
d
y
d
x
⇒
d
y
d
x
=
5
x
4
8
y
3
m
=
(
d
y
d
x
)
(
2
,
2
)
=
5
4
Required sum
=
∣
∣
∣
2
√
1
+
16
25
∣
∣
∣
+
∣
∣
∣
2
√
1
+
25
16
∣
∣
∣
=
9
√
41
10
units.
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Point Form of Tangent: Hyperbola
Standard XII Mathematics
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