The circle has R radius and and ellipse is intersecting the circle. I need to findout $x_c$ and $y_c$, which is the midpoint of the 2 intersected point of ellipse.Line 3 is the tangent of the ellipsoid which passes through the farthest point on ellipse.
The equation of line 1:
Perpendicular of line 1 is line 2, equation of line 2:
the equation of line 3:
and parallel to this line and passing through the point $(x_c,y_c)$ is line 4. The equation of line 4:
I do not know the value of $x_c$ and $y_c$. How to find out these unknowns ($x_c$ and $y_c$).Are those equations correct? Any help will be appreciated.