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If y^(3) - 3y^(2) x=x^(3) +3x^(2) y,the...

If ` y^(3) - 3y^(2) x=x^(3) +3x^(2) y,then (dy)/(dx)=`

A

`(x^(2) +2xy +y^(2))/( y^(2)- 2xy -x^(2))`

B

`(x^(2) +2xy +y^(2))/( y^(2)+ 2xy -x^(2))`

C

`(x^(2) -2xy -y^(2))/( y^(2)+ 2xy +x^(2))`

D

`(x^(2) + 2xy -y^(2))/( y^(2)+ 2xy +x^(2))`

Text Solution

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The correct Answer is:
A
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