The orthogonal trajectories of the circle `x^(2)+y^(2)-ay=0`, (where a is a parameter), is

The orthogonal trajectories of the family of curves y=Cx^(2) , (C is an arbitrary constant), is

The circle x^(2) + y^(2) -3x-4y + 2=0 cuts the x axis at the points

The image of the circle x^(2)+y^(2)-2 x=0 in the line x+y=2 is the circle

The differential equation for the family of curves x^2+y^2-2ay=0 , where a is an arbitrary constant , is :

The differential equation for the family of curves x^2+y^2-2ay=0 , where a is an arbitrary constant , is :

The differential equation of the family of parabolas y^(2)=4ax where a is parameter is

The equation of the circle described on the common chord of the circleS x^(2)+y^(2)+2 x=0 and x^(2)+y^(2)+2 y=0 as diameter is

The differential equation of the family of parabolas y^2=4ax , where a is parameter is :

The circleS orthogonal to three circleS x^(2)+y^(2)+a_(i) x+b_(i) y+c=0, i=1,2,3, is