An ellipse has its axes parallel to the coordinate system axes and its major axes is parallel to X-axis.
Meanwhile, there is a circle located at the coordinate system origin, whose radius is smaller than the semi major of the ellipse.
Now a curve is constructed as the lower half of the said ellipse.
How do I find out how many intersection points will exist between the circle and the curve? The general case can be 1 point, 2 points and 3 points (shown in the figures below). Is it possible to have 4 intersection points?