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Q. I. The foci of an ellipse always lies on major axis.
II. The foci of an ellipse always lies on minor axis.

Conic Sections

Solution:

The foci always lie on the major axis. The major axis can be determined by finding the intercepts on the axes of symmetry. That is, major axis is along the X-axis, if the coefficient of $x^2$ has the larger denominator and it is along the $Y$-axis, if the coefficient of $y^2$ has the larger denominator.