Show that all curves for which the slope at any point `(x,y)` on it is `(x^2+y^2)/(2xy)` are rectangular hyperbola.

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

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

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

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

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

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

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

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 .