The points 
and 
are vertices of the rectangle.
Write down the equation of the ellipse inscribed in the given quadrilateral with axes parallel to the coordinate axes. Write down the foci of this ellipse.
Write down the equation of the ellipse that is circumscribed to the given quadrilateral and has axes parallel to the coordinate axes and passes through the point 
.
Calculate the points on the ellipse with equation:
,
where the tangent is parallel to
the line 
.
