# Find the Points of Intersection of Two Ellipses

| This is tutorial on finding the points of intersection of two ellipses given by their equations.
## Example 1Find the points of intersection of the two ellipses given by their equations as follows:^{2} / 16 + (y + 1)^{2} / 4 = 1
^{2} / 2 + (y + 2)^{2} / 12 = 1
Solution to Example 1:We first multiply all terms of the first equation by 16 and all the terms of the second equation by - 2 to obtain equivalent equations:
## More Links and References on EllipsesPoints of Intersection of an Ellipse and a lineFind the Points of Intersection of a Circle and an Ellipse Equation of Ellipse, Problems. College Algebra Problems With Answers - sample 8: Equation of Ellipse HTML5 Applet to Explore Equations of Ellipses Ellipse Area and Perimeter Calculator |