Respuesta :

syed514
As the paraboloids is given with the following equation

x^2+y^2+ z=4 and x^2 +3y^2=z

So,
x^2+y^2+ z-4 = x^2 +3y^2 - z 
x^2+y^2+ z-4 - x^2 -3y^2 + z =0

= -2y^2 +2z -4 
which is the projection of C onto the xy-Plane and it will be an eclipse.