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Show that the family of curves for which...

Show that the family of curves for which the slope of the tangent at any point (x,y) on its `(x^(2) + y^(2))/(2xy)` , is given by `x^(2) - y^(2) = cx`.

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The correct Answer is:
`(y^(2) - x^(2)) = pm C_(1) x or x^(2) - y^(2) = Cx`.
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NCERT BANGLISH-DIFFERENTIAL EQUATIONS-MISCELLANEOUS EXERCISE
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