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Question

The value of P such that the length of subtangent and subnormal is equal for the curve y=ePx+Px at the point (0,1) is

A
P=±1
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B
P=±2
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C
P=±12
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D
None of these
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Solution

The correct option is B P=±12
Given, y=ePx+Px

Therefore, dydx=Pepx+P

(dydx)(0,1)=2P

Subtangent =ydxdy, subnormal =ydydx

Given, Subtangent = Subnormal

dydx=±1

2p=±1

p=±12

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