Find the locus of the focus of an ellipse with major axis 4 and Minor axis 2, which touches both the co-ordinate axes...

Kindly Answer My question.... And also the one that I have posted before this....!!!

Sir, What if the ellipse touches the co-ordinate axes not in the way that you have mentioned but in a slanted way, ie., such that the major axis makes some angle with the x-axis (like when an ellipse slides between the co-ordinate axes)? Sir, You haven`t mentioned such a case....