Determine whether the statement is true or false. Justify your answer.
1. The domain of a rational function can never be the set of all real numbers.
2. The graph of the equation
Ax2 +Bxy + Cy2 +Dx + Ey + F = 0
can be a single point.
3. If two ellipses have the same major axis length and same eccentricity, then they have the same minor axis length.