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Byju's Answer
Standard XII
Mathematics
Logarithmic Differentiation
The length of...
Question
The length of the subtangent at any point
(
x
1
,
y
1
)
on the curve
y
=
5
x
is
A
5
x
1
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B
y
1
.5
x
1
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C
log
e
5
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D
1
log
e
5
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Solution
The correct option is
B
1
log
e
5
Given,
y
=
5
x
⇒
y
′
=
5
x
ln
5
Hence length of subtangent
=
y
y
′
=
5
x
5
x
ln
5
=
1
log
e
5
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