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The differential equation of the rectang...

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

A

`y(dy)/(dx)=x`

B

`x(dy)/(dx)=-y`

C

`x(dy)/(dx)=y`

D

`x dy +y dx=c`

Text Solution

Verified by Experts

The correct Answer is:
B
The differential equatioin of the rectangular hyperbola `xy=c^(2)` is
`y+x(dy)/(dx)=0impliesx(dy)/(dx)=-y`
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