finding a point on a surface? the surface is an ellipsoid I have drawn the cross-sections of the surface $2(x-1)^2 + (y+2)^2 +z^2 = 2$ for the given planes, but am now asked to write down a point which is on the surface. I have no idea how to go about this, never learnt this nor have it in my textbook. Can anyone point me in the right direction?

If the planes of your cross-sections are parallel to the coordinate planes
(for example, the plane $x=1$)
and you have fully described the size and location of
the cross-section in each plane,
you should be able to take one of the extreme points of a cross-section
(such as the rightmost point) and figure out the coordinates of that point.
(One of the coordinates is simply the equation of the plane itself.)
