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If (y^(3)-2x^(2)y)dx+(2xy^(2)-x^(3))dy=0...

If `(y^(3)-2x^(2)y)dx+(2xy^(2)-x^(3))dy=0,` then the value of `xysqrt(y^(2)-x^(2)),` is

A

` (x)/(y) sqrt( x^2 - y^2 )=C `

B

` xy sqrt( x^2 - y^2 ) = C`

C

` xy sqrt( y^2 - x^2 ) =C `

D

` (x)/(y) sqrt( x^2 + y^2 )=C `

Text Solution

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The correct Answer is:
C
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