The slope of the tangent at the point (2-2) to the curve `x^2 +xy+y^2 -4=0` is given by

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 .

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 .

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