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Question

The differential equation of the rectangular hyperbola, where axes are the asymptotes of the hyperbola, is


A

ydydx=x

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B

xdydx=-y

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C

xdydx=y

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D

xdy+ydx=c

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Solution

The correct option is B

xdydx=-y


Explanation for the correct option:

Given, rectangular hyperbola where axes are asymptotes of hyperbola

The equation is xy=c2

On differentiating with respect to x,

y+xdydx=0xdydx=-y

Hence, the correct answer is option (B)


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