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The differential equation satisfying the...

The differential equation satisfying the curve `(x^(2))/(a^(2)+lambda)+(y^(2))/(b^(2)+lambda)=1` where `lambda` be arbitary uknown, is
(a) `(x+yy_(1))(xy_(1)-y)=(a^(2)-b^(2))y_(1)`
(b) `(x+yy_(1))(xy_(1)-y)=y_(1)`
( c ) `(x-yy_(1))(xy_(1)+y)(a^(2)-b^(2))y_(1)`
(d) None of these

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