circle tangent to an ellipse and a line by one of its points

this work uses an implicit curve created with method of Lagrange multipliers[br][url]https://en.wikipedia.org/wiki/Lagrange_multiplier[/url][br]the line is supposed xAxis and the point in origin. other positions is a simple problem of transformations.
try another objects and positions with the same method ( and share please)

Informació: circle tangent to an ellipse and a line by one of its points